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    G (Global Index)

    Files ABCDEFGHIJKLMNOPQRSTUVWXYZ_
    Definitions ABCDEFGHIJKLMNOPQRSTUVWXYZ_
    Lemmas ABCDEFGHIJKLMNOPQRSTUVWXYZ_
    Abbreviations ABCDEFGHIJKLMNOPQRSTUVWXYZ_
    Global Index ABCDEFGHIJKLMNOPQRSTUVWXYZ_
    Notations

    G

    G [abbrev, in mathcomp.group_representation.inertia]
    G [abbrev, in mathcomp.group_representation.classfun]
    G [abbrev, in mathcomp.group_representation.classfun]
    G [abbrev, in mathcomp.group_representation.classfun]
    g [abbrev, in mathcomp.group_representation.character]
    G' [abbrev, in mathcomp.solvable.hall]
    G1 [abbrev, in mathcomp.group_representation.classfun]
    G_ [abbrev, in mathcomp.solvable.center]
    gacent [def, in mathcomp.finite_group.action]
    gacent1 [prf, in mathcomp.finite_group.action]
    gacent1E [prf, in mathcomp.finite_group.action]
    gacent_actby [prf, in mathcomp.finite_group.action]
    gacent_comp [prf, in mathcomp.finite_group.action]
    gacent_cycle [prf, in mathcomp.finite_group.action]
    gacent_gen [prf, in mathcomp.finite_group.action]
    gacent_group [def, in mathcomp.finite_group.action]
    gacent_mod [prf, in mathcomp.finite_group.action]
    gacent_ract [prf, in mathcomp.finite_group.action]
    gacent_repr [prf, in mathcomp.group_representation.mxabelem]
    gacentC [prf, in mathcomp.finite_group.action]
    gacentD1 [prf, in mathcomp.finite_group.action]
    gacentE [prf, in mathcomp.finite_group.action]
    gacentEsd [prf, in mathcomp.finite_group.gproduct]
    gacentIdom [prf, in mathcomp.finite_group.action]
    gacentIim [prf, in mathcomp.finite_group.action]
    gacentJ [prf, in mathcomp.finite_group.action]
    gacentM [prf, in mathcomp.finite_group.action]
    gacentQ [prf, in mathcomp.finite_group.action]
    gacentS [prf, in mathcomp.finite_group.action]
    gacentU [prf, in mathcomp.finite_group.action]
    gacentY [prf, in mathcomp.finite_group.action]
    gact [proj, in mathcomp.finite_group.action]
    gact1 [prf, in mathcomp.finite_group.action]
    gact_out [prf, in mathcomp.finite_group.action]
    gact_range [def, in mathcomp.finite_group.action]
    gact_stable [prf, in mathcomp.finite_group.action]
    gactJ [prf, in mathcomp.finite_group.action]
    gactM [prf, in mathcomp.finite_group.action]
    gactR [prf, in mathcomp.finite_group.action]
    gacts_char [prf, in mathcomp.finite_group.action]
    gacts_range [prf, in mathcomp.finite_group.action]
    gactsI [prf, in mathcomp.solvable.jordanholder]
    gactsM [prf, in mathcomp.solvable.jordanholder]
    gactsP [prf, in mathcomp.solvable.jordanholder]
    gactV [prf, in mathcomp.finite_group.action]
    gactX [prf, in mathcomp.finite_group.action]
    gal [def, in mathcomp.field.galois]
    Gal [constr, in mathcomp.field.galois]
    gal_adjoin_eq [prf, in mathcomp.field.galois]
    gal_AEnd [prf, in mathcomp.field.galois]
    gal_cap [prf, in mathcomp.field.galois]
    gal_conjg [prf, in mathcomp.field.galois]
    gal_eqP [prf, in mathcomp.field.galois]
    gal_fixedField [prf, in mathcomp.field.galois]
    gal_generated [prf, in mathcomp.field.galois]
    gal_id [prf, in mathcomp.field.galois]
    gal_independent [prf, in mathcomp.field.galois]
    gal_independent_contra [prf, in mathcomp.field.galois]
    gal_inv [def, in mathcomp.field.galois]
    gal_invP [prf, in mathcomp.field.galois]
    gal_is_morphism [prf, in mathcomp.field.galois]
    gal_kAut [prf, in mathcomp.field.galois]
    gal_kHom [prf, in mathcomp.field.galois]
    gal_matrix [prf, in mathcomp.field.galois]
    gal_morphism [def, in mathcomp.field.galois]
    gal_mul [def, in mathcomp.field.galois]
    gal_mulP [prf, in mathcomp.field.galois]
    gal_of [ind, in mathcomp.field.galois]
    gal_of_ind [scheme, in mathcomp.field.galois]
    gal_of_rec [scheme, in mathcomp.field.galois]
    gal_of_rect [scheme, in mathcomp.field.galois]
    gal_of_sind [scheme, in mathcomp.field.galois]
    gal_one [def, in mathcomp.field.galois]
    gal_oneP [prf, in mathcomp.field.galois]
    gal_repr [def, in mathcomp.field.galois]
    gal_repr_inj [prf, in mathcomp.field.galois]
    gal_reprK [prf, in mathcomp.field.galois]
    gal_sgval [def, in mathcomp.field.galois]
    gal_sgvalK [prf, in mathcomp.field.galois]
    galK [prf, in mathcomp.field.galois]
    galLgen [prf, in mathcomp.field.finfield]
    galM [prf, in mathcomp.field.galois]
    galNorm [def, in mathcomp.field.galois]
    galNorm0 [prf, in mathcomp.field.galois]
    galNorm1 [prf, in mathcomp.field.galois]
    galNorm_eq0 [prf, in mathcomp.field.galois]
    galNorm_fixedField [prf, in mathcomp.field.galois]
    galNorm_gal [prf, in mathcomp.field.galois]
    galNorm_prod [prf, in mathcomp.field.galois]
    galNormM [prf, in mathcomp.field.galois]
    galNormV [prf, in mathcomp.field.galois]
    galNormX [prf, in mathcomp.field.galois]
    galois [file, in mathcomp.field.galois]
    galois [def, in mathcomp.field.galois]
    galois_connection [prf, in mathcomp.field.galois]
    galois_connection_subset [prf, in mathcomp.field.galois]
    galois_connection_subv [prf, in mathcomp.field.galois]
    galois_dim [prf, in mathcomp.field.galois]
    galois_factors [prf, in mathcomp.field.galois]
    galois_fixedField [prf, in mathcomp.field.galois]
    galoisG [def, in mathcomp.field.galois]
    galoisG_group [def, in mathcomp.field.galois]
    galoisS [prf, in mathcomp.field.galois]
    galS [prf, in mathcomp.field.galois]
    galTrace [def, in mathcomp.field.galois]
    galTrace_fixedField [prf, in mathcomp.field.galois]
    galTrace_gal [prf, in mathcomp.field.galois]
    galTrace_is_additive [def, in mathcomp.field.galois]
    galTrace_is_zmod_morphism [prf, in mathcomp.field.galois]
    galV [prf, in mathcomp.field.galois]
    Gaschutz_split [prf, in mathcomp.solvable.finmodule]
    Gaschutz_transitive [prf, in mathcomp.solvable.finmodule]
    gastabsP [prf, in mathcomp.solvable.jordanholder]
    Gauss_dvd [prf, in mathcomp.boot.div]
    Gauss_dvdl [prf, in mathcomp.boot.div]
    Gauss_dvdr [prf, in mathcomp.boot.div]
    Gauss_dvdz [prf, in mathcomp.algebra.intdiv]
    Gauss_dvdzl [prf, in mathcomp.algebra.intdiv]
    Gauss_dvdzr [prf, in mathcomp.algebra.intdiv]
    Gauss_gcdl [prf, in mathcomp.boot.div]
    Gauss_gcdr [prf, in mathcomp.boot.div]
    Gauss_gcdzl [prf, in mathcomp.algebra.intdiv]
    Gauss_gcdzr [prf, in mathcomp.algebra.intdiv]
    GaussE [abbrev, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination [abbrev, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination [mod, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination.body [def, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination.unlock [def, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination_ [def, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination_Locked [modtype, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination_Locked.body [ax, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination_Locked.unlock [ax, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination_map [prf, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination_unlock_subterm [def, in mathcomp.algebra.mxalgebra]
    Gaussian_elimination_unlockable [def, in mathcomp.algebra.mxalgebra]
    gcard [def, in mathcomp.group_representation.mxrepresentation]
    gcd0n [prf, in mathcomp.boot.div]
    gcd0z [prf, in mathcomp.algebra.intdiv]
    gcd1n [prf, in mathcomp.boot.div]
    gcd1z [prf, in mathcomp.algebra.intdiv]
    gcdn [def, in mathcomp.boot.div]
    gcdn0 [prf, in mathcomp.boot.div]
    gcdn1 [prf, in mathcomp.boot.div]
    gcdn_def [prf, in mathcomp.boot.div]
    gcdn_gt0 [prf, in mathcomp.boot.div]
    gcdn_idPl [prf, in mathcomp.boot.div]
    gcdn_idPr [prf, in mathcomp.boot.div]
    gcdn_modl [prf, in mathcomp.boot.div]
    gcdn_modr [prf, in mathcomp.boot.div]
    gcdnA [prf, in mathcomp.boot.div]
    gcdnAC [prf, in mathcomp.boot.div]
    gcdnACA [prf, in mathcomp.boot.div]
    gcdnC [prf, in mathcomp.boot.div]
    gcdnCA [prf, in mathcomp.boot.div]
    gcdnDl [prf, in mathcomp.boot.div]
    gcdnDr [prf, in mathcomp.boot.div]
    gcdnE [prf, in mathcomp.boot.div]
    gcdnMDl [prf, in mathcomp.boot.div]
    gcdnMl [prf, in mathcomp.boot.div]
    gcdnMr [prf, in mathcomp.boot.div]
    gcdnn [prf, in mathcomp.boot.div]
    gcdNz [prf, in mathcomp.algebra.intdiv]
    gcdp_polyOver [prf, in mathcomp.field.fieldext]
    gcdz [def, in mathcomp.algebra.intdiv]
    gcdz0 [prf, in mathcomp.algebra.intdiv]
    gcdz1 [prf, in mathcomp.algebra.intdiv]
    gcdz_eq0 [prf, in mathcomp.algebra.intdiv]
    gcdz_idPl [prf, in mathcomp.algebra.intdiv]
    gcdz_idPr [prf, in mathcomp.algebra.intdiv]
    gcdz_modl [prf, in mathcomp.algebra.intdiv]
    gcdz_modr [prf, in mathcomp.algebra.intdiv]
    gcdzA [prf, in mathcomp.algebra.intdiv]
    gcdzAC [prf, in mathcomp.algebra.intdiv]
    gcdzACA [prf, in mathcomp.algebra.intdiv]
    gcdzC [prf, in mathcomp.algebra.intdiv]
    gcdzCA [prf, in mathcomp.algebra.intdiv]
    gcdzDl [prf, in mathcomp.algebra.intdiv]
    gcdzDr [prf, in mathcomp.algebra.intdiv]
    gcdzMDl [prf, in mathcomp.algebra.intdiv]
    gcdzMl [prf, in mathcomp.algebra.intdiv]
    gcdzMr [prf, in mathcomp.algebra.intdiv]
    gcdzN [prf, in mathcomp.algebra.intdiv]
    gcdzz [prf, in mathcomp.algebra.intdiv]
    gcore [def, in mathcomp.finite_group.fingroup]
    gcore_group [def, in mathcomp.finite_group.fingroup]
    gcore_max [prf, in mathcomp.finite_group.fingroup]
    gcore_norm [prf, in mathcomp.finite_group.fingroup]
    gcore_normal [prf, in mathcomp.finite_group.fingroup]
    gcore_sub [prf, in mathcomp.finite_group.fingroup]
    ge0 [prf, in mathcomp.algebra.interval_inference]
    ge0F [prf, in mathcomp.algebra.interval_inference]
    ge1F [prf, in mathcomp.algebra.interval_inference]
    ge_pinfty [prf, in mathcomp.algebra.interval]
    ge_rat0 [prf, in mathcomp.algebra.rat]
    ge_rat0_norm [prf, in mathcomp.algebra.rat]
    geigenspace [def, in mathcomp.algebra.mxpoly]
    geigenspaceE [prf, in mathcomp.algebra.mxpoly]
    gen0 [prf, in mathcomp.finite_group.fingroup]
    gen_diso3 [prf, in mathcomp.solvable.burnside_app]
    gen_expgs [prf, in mathcomp.finite_group.fingroup]
    gen_prodgP [prf, in mathcomp.finite_group.fingroup]
    gen_rank [def, in mathcomp.solvable.abelian]
    gen_set_id [prf, in mathcomp.finite_group.fingroup]
    gen_subG [prf, in mathcomp.finite_group.fingroup]
    gen_tperm [prf, in mathcomp.finite_group.perm]
    gen_tperm_circular_shift [prf, in mathcomp.solvable.alt]
    gen_tperm_step [prf, in mathcomp.algebra.zmodp]
    gen_tpermn_circular_shift [prf, in mathcomp.algebra.zmodp]
    genD [prf, in mathcomp.finite_group.fingroup]
    genD1 [prf, in mathcomp.finite_group.fingroup]
    genD1id [prf, in mathcomp.finite_group.fingroup]
    genDU [prf, in mathcomp.finite_group.fingroup]
    generalized_orthogonality_relation [prf, in mathcomp.group_representation.character]
    generated [abbrev, in mathcomp.finite_group.fingroup]
    generated [mod, in mathcomp.finite_group.fingroup]
    generated.body [def, in mathcomp.finite_group.fingroup]
    generated.unlock [def, in mathcomp.finite_group.fingroup]
    generated_group [def, in mathcomp.finite_group.fingroup]
    generated_Locked [modtype, in mathcomp.finite_group.fingroup]
    generated_Locked.body [ax, in mathcomp.finite_group.fingroup]
    generated_Locked.unlock [ax, in mathcomp.finite_group.fingroup]
    generated_unlock_subterm [def, in mathcomp.finite_group.fingroup]
    generated_unlockable [def, in mathcomp.finite_group.fingroup]
    generatedP [prf, in mathcomp.finite_group.fingroup]
    generator [def, in mathcomp.solvable.cyclic]
    generator_coprime [prf, in mathcomp.solvable.cyclic]
    generator_cycle [prf, in mathcomp.solvable.cyclic]
    generator_order [prf, in mathcomp.solvable.cyclic]
    generators_2dihedral [prf, in mathcomp.solvable.extremal]
    generators_modular_group [prf, in mathcomp.solvable.extremal]
    generators_quaternion [prf, in mathcomp.solvable.extremal]
    generators_semidihedral [prf, in mathcomp.solvable.extremal]
    generic_quotient [file, in mathcomp.boot.generic_quotient]
    genGid [prf, in mathcomp.finite_group.fingroup]
    genGidG [prf, in mathcomp.finite_group.fingroup]
    genJ [prf, in mathcomp.finite_group.fingroup]
    genM_join [prf, in mathcomp.finite_group.fingroup]
    genmx [abbrev, in mathcomp.algebra.mxalgebra]
    genmx [mod, in mathcomp.algebra.mxalgebra]
    genmx.body [def, in mathcomp.algebra.mxalgebra]
    genmx.unlock [def, in mathcomp.algebra.mxalgebra]
    genmx0 [prf, in mathcomp.algebra.mxalgebra]
    genmx1 [prf, in mathcomp.algebra.mxalgebra]
    genmx_adds [prf, in mathcomp.algebra.mxalgebra]
    genmx_bigcap [prf, in mathcomp.algebra.mxalgebra]
    genmx_cap [prf, in mathcomp.algebra.mxalgebra]
    genmx_component [prf, in mathcomp.group_representation.mxrepresentation]
    genmx_diff [prf, in mathcomp.algebra.mxalgebra]
    genmx_id [prf, in mathcomp.algebra.mxalgebra]
    genmx_Locked [modtype, in mathcomp.algebra.mxalgebra]
    genmx_Locked.body [ax, in mathcomp.algebra.mxalgebra]
    genmx_Locked.unlock [ax, in mathcomp.algebra.mxalgebra]
    genmx_muls [prf, in mathcomp.algebra.mxalgebra]
    genmx_ortho [prf, in mathcomp.algebra.sesquilinear]
    genmx_Socle [prf, in mathcomp.group_representation.mxrepresentation]
    genmx_sums [prf, in mathcomp.algebra.mxalgebra]
    genmx_unlock_subterm [def, in mathcomp.algebra.mxalgebra]
    genmx_unlockable [def, in mathcomp.algebra.mxalgebra]
    genmx_witness [def, in mathcomp.algebra.mxalgebra]
    genmxE [prf, in mathcomp.algebra.mxalgebra]
    genmxP [prf, in mathcomp.algebra.mxalgebra]
    genS [prf, in mathcomp.finite_group.fingroup]
    GenTree [mod, in mathcomp.boot.choice]
    GenTree.codeK [prf, in mathcomp.boot.choice]
    GenTree.decode [def, in mathcomp.boot.choice]
    GenTree.decode_step [def, in mathcomp.boot.choice]
    GenTree.encode [def, in mathcomp.boot.choice]
    GenTree.Leaf [constr, in mathcomp.boot.choice]
    GenTree.Node [constr, in mathcomp.boot.choice]
    GenTree.tree [ind, in mathcomp.boot.choice]
    GenTree.tree_ind [def, in mathcomp.boot.choice]
    GenTree.tree_rec [def, in mathcomp.boot.choice]
    GenTree.tree_rect [def, in mathcomp.boot.choice]
    genV [prf, in mathcomp.finite_group.fingroup]
    geq [def, in mathcomp.boot.ssrnat]
    geq_divBl [prf, in mathcomp.boot.div]
    geq_half_double [prf, in mathcomp.boot.ssrnat]
    geq_leqif [prf, in mathcomp.boot.ssrnat]
    geq_max [prf, in mathcomp.boot.ssrnat]
    geq_min [prf, in mathcomp.boot.ssrnat]
    geq_minl [prf, in mathcomp.boot.ssrnat]
    geq_minr [prf, in mathcomp.boot.ssrnat]
    geq_uphalf_double [prf, in mathcomp.boot.ssrnat]
    GeqNotLtn [constr, in mathcomp.boot.ssrnat]
    getCratK [prf, in mathcomp.field.algC]
    gez0_abs [prf, in mathcomp.algebra.ssrint]
    gF1 [prf, in mathcomp.solvable.gfunctor]
    gFchar [prf, in mathcomp.solvable.gfunctor]
    gFchar_trans [prf, in mathcomp.solvable.gfunctor]
    gFcomp_closed [prf, in mathcomp.solvable.gfunctor]
    gFcomp_cont [prf, in mathcomp.solvable.gfunctor]
    gFcomp_gFun [def, in mathcomp.solvable.gfunctor]
    gFcomp_igFun [def, in mathcomp.solvable.gfunctor]
    gFcomp_mgFun [def, in mathcomp.solvable.gfunctor]
    gFcompS [prf, in mathcomp.solvable.gfunctor]
    gFcont [prf, in mathcomp.solvable.gfunctor]
    gFgroup [def, in mathcomp.solvable.gfunctor]
    gFgroupset [prf, in mathcomp.solvable.gfunctor]
    gFhereditary [prf, in mathcomp.solvable.gfunctor]
    gFid [prf, in mathcomp.solvable.gfunctor]
    gFiso_cont [prf, in mathcomp.solvable.gfunctor]
    gFisog [prf, in mathcomp.solvable.gfunctor]
    gFisom [prf, in mathcomp.solvable.gfunctor]
    gFmod_closed [prf, in mathcomp.solvable.gfunctor]
    gFmod_cont [prf, in mathcomp.solvable.gfunctor]
    gFmod_gFun [def, in mathcomp.solvable.gfunctor]
    gFmod_group [def, in mathcomp.solvable.gfunctor]
    gFmod_hereditary [prf, in mathcomp.solvable.gfunctor]
    gFmod_igFun [def, in mathcomp.solvable.gfunctor]
    gFmod_pgFun [def, in mathcomp.solvable.gfunctor]
    gFnorm [prf, in mathcomp.solvable.gfunctor]
    gFnorm_trans [prf, in mathcomp.solvable.gfunctor]
    gFnormal [prf, in mathcomp.solvable.gfunctor]
    gFnormal_trans [prf, in mathcomp.solvable.gfunctor]
    gFnorms [prf, in mathcomp.solvable.gfunctor]
    gFsub [prf, in mathcomp.solvable.gfunctor]
    gFsub_trans [prf, in mathcomp.solvable.gfunctor]
    gFunc_id [def, in mathcomp.solvable.gfunctor]
    gfunctor [file, in mathcomp.solvable.gfunctor]
    GFunctor [mod, in mathcomp.solvable.gfunctor]
    GFunctor.apply [proj, in mathcomp.solvable.gfunctor]
    GFunctor.clone [def, in mathcomp.solvable.gfunctor]
    GFunctor.clone_iso [def, in mathcomp.solvable.gfunctor]
    GFunctor.clone_mono [def, in mathcomp.solvable.gfunctor]
    GFunctor.clone_pmap [def, in mathcomp.solvable.gfunctor]
    GFunctor.closed [def, in mathcomp.solvable.gfunctor]
    GFunctor.comp [def, in mathcomp.solvable.gfunctor]
    GFunctor.continuous [def, in mathcomp.solvable.gfunctor]
    GFunctor.continuous_is_iso_continuous [prf, in mathcomp.solvable.gfunctor]
    GFunctor.Exports [mod, in mathcomp.solvable.gfunctor]
    GFunctor.group_valued [def, in mathcomp.solvable.gfunctor]
    GFunctor.hereditary [def, in mathcomp.solvable.gfunctor]
    GFunctor.iso_continuous [def, in mathcomp.solvable.gfunctor]
    GFunctor.iso_map [rec, in mathcomp.solvable.gfunctor]
    GFunctor.iso_of_map [proj, in mathcomp.solvable.gfunctor]
    GFunctor.map [rec, in mathcomp.solvable.gfunctor]
    GFunctor.map_of_mono [proj, in mathcomp.solvable.gfunctor]
    GFunctor.map_of_pmap [proj, in mathcomp.solvable.gfunctor]
    GFunctor.modulo [def, in mathcomp.solvable.gfunctor]
    GFunctor.mono_map [rec, in mathcomp.solvable.gfunctor]
    GFunctor.monotonic [def, in mathcomp.solvable.gfunctor]
    GFunctor.object_map [def, in mathcomp.solvable.gfunctor]
    GFunctor.pack_iso [def, in mathcomp.solvable.gfunctor]
    GFunctor.pcontinuous [def, in mathcomp.solvable.gfunctor]
    GFunctor.pcontinuous_is_continuous [prf, in mathcomp.solvable.gfunctor]
    GFunctor.pcontinuous_is_hereditary [prf, in mathcomp.solvable.gfunctor]
    GFunctor.pmap [rec, in mathcomp.solvable.gfunctor]
    gFunctorI [prf, in mathcomp.solvable.gfunctor]
    gFunctorS [prf, in mathcomp.solvable.gfunctor]
    gH [abbrev, in mathcomp.finite_group.gproduct]
    gK [abbrev, in mathcomp.finite_group.gproduct]
    GL_1E [prf, in mathcomp.algebra.matrix]
    GL_det [prf, in mathcomp.algebra.matrix]
    GL_ME [prf, in mathcomp.algebra.matrix]
    GL_mx_repr [prf, in mathcomp.group_representation.mxabelem]
    GL_MxE [prf, in mathcomp.algebra.matrix]
    GL_unit [prf, in mathcomp.algebra.matrix]
    GL_unitmx [prf, in mathcomp.algebra.matrix]
    GL_VE [prf, in mathcomp.algebra.matrix]
    GL_VxE [prf, in mathcomp.algebra.matrix]
    GLgroup [def, in mathcomp.algebra.matrix]
    GLgroup_group [def, in mathcomp.algebra.matrix]
    GLmx_faithful [prf, in mathcomp.group_representation.mxabelem]
    GLrepr [def, in mathcomp.group_representation.mxabelem]
    GLtype [def, in mathcomp.algebra.matrix]
    GLval [def, in mathcomp.algebra.matrix]
    gmulf1 [def, in mathcomp.boot.monoid]
    gmulf_commute [prf, in mathcomp.boot.monoid]
    gmulf_eq1 [prf, in mathcomp.boot.monoid]
    gmulf_inj [prf, in mathcomp.boot.monoid]
    gmulf_prod [prf, in mathcomp.boot.monoid]
    gmulfF [prf, in mathcomp.boot.monoid]
    gmulfJ [prf, in mathcomp.boot.monoid]
    gmulfM [def, in mathcomp.boot.monoid]
    gmulfR [prf, in mathcomp.boot.monoid]
    gmulfV [prf, in mathcomp.boot.monoid]
    gmulfXn [prf, in mathcomp.boot.monoid]
    gmulfXVn [prf, in mathcomp.boot.monoid]
    gnorm [def, in mathcomp.boot.monoid]
    gof [abbrev, in mathcomp.finite_group.morphism]
    gpred1 [def, in mathcomp.boot.monoid]
    gpred_prod [prf, in mathcomp.boot.monoid]
    gpredF [prf, in mathcomp.boot.monoid]
    gpredFC [prf, in mathcomp.boot.monoid]
    gpredFl [prf, in mathcomp.boot.monoid]
    gpredFr [prf, in mathcomp.boot.monoid]
    gpredJ [prf, in mathcomp.boot.monoid]
    gpredM [def, in mathcomp.boot.monoid]
    gpredMl [prf, in mathcomp.boot.monoid]
    gpredMr [prf, in mathcomp.boot.monoid]
    gpredR [prf, in mathcomp.boot.monoid]
    gpredV [prf, in mathcomp.boot.monoid]
    gpredVr [def, in mathcomp.boot.monoid]
    gpredXn [prf, in mathcomp.boot.monoid]
    gpredXNn [prf, in mathcomp.boot.monoid]
    gproduct [file, in mathcomp.finite_group.gproduct]
    grank_abelian [prf, in mathcomp.solvable.abelian]
    grank_min [prf, in mathcomp.solvable.abelian]
    grank_witness [prf, in mathcomp.solvable.abelian]
    grel [def, in mathcomp.boot.fingraph]
    grepr0 [def, in mathcomp.group_representation.character]
    GRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Add [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.add_fun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.addf_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.additive_linear [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.additive_semilinear [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.addKr_char2 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.addKr_pchar2 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.addr_closed [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.addrClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.addrK_char2 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.addrK_pchar2 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.addrr_char2 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.addrr_pchar2 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Algebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Algebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Algebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Algebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Algebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.algMixin [prf, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.AllExports [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.AllExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.AllExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.AllExports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.AllExports.addr_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.And [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.and_dnf [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.and_dnfP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.bin_lt_charf_0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.bin_lt_pcharf_0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Bool [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_1 [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Builders_1 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.add [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.add0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.addrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.addrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.Builders_Export_11 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.Builders_Export_5 [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Builders_1.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.mul0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.mulr0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.mulr1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.mulrDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.Super [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Builders_1.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_1.zero [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_103 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_103.Builders_Export_110 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_103.intro_unit [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_103.inv [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_103.inv_out [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_103.invr0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_103.mulVf [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_103.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_111 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_111.Builders_Export_118 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_111.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_119 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_119.Builders_Export_127 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_119.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_12 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.Builders_Export_18 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mul0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mulr0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mulr1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.mulrDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.oner_neq0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_12.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_128 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_128.Builders_Export_137 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_128.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_138 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_138.Builders_Export_148 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_138.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_142 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.Builders_Export_146 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.scale [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.scale0r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.scale1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.scalerA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.scalerDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.scalerDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_142.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_147 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_147.addNr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_147.Builders_Export_152 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_147.opp [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_147.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_158 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_158.Builders_Export_173 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_158.divrr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_158.invr_out [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_158.mulVr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_158.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_158.unitrP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.Builders_Export_21 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.inv [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.invr_out [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.mulC_mulrV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.mulC_unitP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.mulVx [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.unit [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_17.unitPl [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_174 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_174.Builders_Export_178 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_174.id [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_174.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_179 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_179.Builders_Export_183 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_179.fieldP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_179.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_184 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_184.Builders_Export_200 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_184.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_19 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.add [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.add0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.addrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.addrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.Builders_Export_30 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mul0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mulr0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mulr1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.mulrDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.oner_neq0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_19.zero [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_20 [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_20.Builders_Export_23 [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_20.ok_proj [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_20.proj [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_20.qe_is_def_field [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_20.Super [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_20.wf_proj [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Builders_201 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_201.Builders_Export_218 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_201.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_219 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_219.Builders_Export_237 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_219.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_336 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_336.Builders_Export_342 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_336.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_343 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_343.Builders_Export_349 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_343.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.Builders_Export_380 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mul0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mulr0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mulr1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mulrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.mulrDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_374.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.Builders_Export_388 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.mul0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.mulrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.oner_neq0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_381.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.Builders_Export_405 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.mulr1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.mulrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.mulrDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_399.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.Builders_Export_44 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mul0r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mulr0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mulr1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.mulrDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_40.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.Builders_Export_413 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.mulrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.oner_neq0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_406.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_414 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_414.Builders_Export_418 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_414.scalarAr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_414.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_419 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_419.Builders_Export_425 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_419.scalerAl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_419.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.add [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.add0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.addNr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.addrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.addrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.Builders_Export_57 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.mulr1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.mulrDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.opp [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_45.zero [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_558 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_558.Builders_Export_564 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_558.rpred1M [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_558.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_565 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_565.Builders_Export_572 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_565.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_573 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_573.Builders_Export_580 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_573.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.Builders_Export_64 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.mulr1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.mulrDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.oner_neq0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_58.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_581 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_581.Builders_Export_589 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_581.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_590 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_590.Builders_Export_596 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_590.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_597 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_597.Builders_Export_604 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_597.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_6 [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Builders_6.Builders_Export_10 [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Builders_6.Super [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Builders_605 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_605.Builders_Export_613 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_605.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_614 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_614.Builders_Export_623 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_614.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.Builders_Export_637 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.mul0r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.mul1r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.mulr0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.mulr1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.mulrA [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.mulrDl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.mulrDr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_626.valM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_638 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_638.Builders_Export_642 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_638.oner_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_638.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_643 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_643.Builders_Export_650 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_643.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.add [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.add0r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.addNr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.addrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.addrC [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.Builders_Export_78 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.mul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.mul1r [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.mulr1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.mulrA [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.mulrDl [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.mulrDr [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.one [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.oner_neq0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.opp [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_65.zero [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_651 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_651.Builders_Export_655 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_651.mulrC [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_651.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_658 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_658.Builders_Export_662 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_658.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_658.valZ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.Builders_Export_674 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.scale0r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.scale1r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.scalerA' [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.scalerDl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.scalerDr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_663.valZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_675 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_675.Builders_Export_679 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_675.scalerAl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_675.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_680 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_680.Builders_Export_684 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_680.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_685 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_685.Builders_Export_689 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_685.scalerAr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_685.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_690 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_690.Builders_Export_702 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_690.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_703 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_703.Builders_Export_716 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_703.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_717 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_717.Builders_Export_730 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_717.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_731 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_731.Builders_Export_745 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_731.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_746 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_746.Builders_Export_760 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_746.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_761 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_761.Builders_Export_776 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_761.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_777 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_777.Builders_Export_792 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_777.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_793 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_793.Builders_Export_809 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_793.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_810 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_810.Builders_Export_822 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_810.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_823 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_823.Builders_Export_837 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_823.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_838 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_838.Builders_Export_854 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_838.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_855 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_855.Builders_Export_871 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_855.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_872 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_872.Builders_Export_890 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_872.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_891 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_891.Builders_Export_909 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_891.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_910 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_910.Builders_Export_926 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_910.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_927 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_927.Builders_Export_944 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_927.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_945 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_945.Builders_Export_963 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_945.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_96 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_96.Builders_Export_102 [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_96.fieldP [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_96.Super [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Builders_964 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_964.Builders_Export_983 [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Builders_964.Super [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.can2_linear [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.can2_monoid_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.can2_rmorphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.can2_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.can2_semilinear [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.cat_dnfP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.char0_natf_div [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.char_lalg [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.charf'_nat [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.charf0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.charf0P [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.charf_eq [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.charf_prime [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.closed_field_axiom [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ClosedExports.divalg_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ClosedExports.divr_2closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ClosedExports.divr_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ClosedExports.divring_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ClosedExports.invr_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ClosedExports.linear_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.mulr_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.nmod_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.oppr_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.scaler_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.sdivr_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ClosedExports.semiring_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.smulr_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.subalg_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.submod_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.subring_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.subsemimod_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedExports.zmod_closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ClosedField [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.class [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.Exports.closedFieldType [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_ComUnitRing_isIntegral_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_DecField_isAlgClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_Field_isDecField_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.GRing_UnitRing_isField_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.sort [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedField.type [rec, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedFieldElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ClosedFieldExports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ComAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComAlgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.comm_alg [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr_nat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr_prod [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr_refl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr_sign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr_sum [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commr_sym [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commrB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commrD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commrM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commrMn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commrN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commrN1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.commrV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.commrX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.comNzAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_Algebra_BaseZmodule_and_GRing_ComNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_ComNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_ComPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_ComPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_Lmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_LSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_ComPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_ComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_Lmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiRing_and_GRing_ComPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiRing_and_GRing_Lmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiRing_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiRing_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiRing_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComNzSemiRing_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzAlgebra_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzAlgebra_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzAlgebra_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzAlgebra_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzAlgebra_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzAlgebra_and_GRing_NzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzRing_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzRing_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzRing_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzRing_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzSemiRing_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.Exports.join_GRing_ComNzAlgebra_between_GRing_ComPzSemiRing_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.comNzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_Algebra_BaseZmodule_and_GRing_ComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_GRing_ComNzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_GRing_ComNzSemiRing_and_GRing_ComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_GRing_ComNzSemiRing_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_GRing_ComNzSemiRing_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_GRing_ComPzRing_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_GRing_ComPzRing_and_GRing_NzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.Exports.join_GRing_ComNzRing_between_GRing_ComPzSemiRing_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRing_hasMulInverse [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.inv [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.invr_out [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.mulVx [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.unit [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_hasMulInverse.unitPl [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.inv [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.invr0 [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.mulVf [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRing_isField.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComNzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.comNzSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComNzSemiRing_and_GRing_ComPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComNzSemiRing_and_GRing_LSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComNzSemiRing_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComNzSemiRing_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComNzSemiRing_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComNzSemiRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_NzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComPzSemiRing_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.Exports.join_GRing_ComNzSemiAlgebra_between_GRing_ComPzSemiRing_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Exports.comNzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.Exports.join_GRing_ComNzSemiRing_between_GRing_ComPzSemiRing_and_GRing_NzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComNzSemiRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.comp_is_monoid_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.comp_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.comPzAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_Algebra_BaseZmodule_and_GRing_ComPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzRing_and_GRing_ComPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzRing_and_GRing_Lmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzRing_and_GRing_LSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzRing_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzRing_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzRing_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_Lmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiRing_and_GRing_Lmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiRing_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.Exports.join_GRing_ComPzAlgebra_between_GRing_ComPzSemiRing_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Exports.comPzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Exports.join_GRing_ComPzRing_between_Algebra_BaseZmodule_and_GRing_ComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Exports.join_GRing_ComPzRing_between_GRing_ComPzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.Exports.join_GRing_ComPzRing_between_GRing_ComPzSemiRing_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Exports.comPzSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Exports.join_GRing_ComPzSemiAlgebra_between_GRing_ComPzSemiRing_and_GRing_LSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Exports.join_GRing_ComPzSemiAlgebra_between_GRing_ComPzSemiRing_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.Exports.join_GRing_ComPzSemiAlgebra_between_GRing_ComPzSemiRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.Exports.comPzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComPzSemiRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.ComRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing_hasMulInverse [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing_hasMulInverse [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing_hasMulInverse.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing_isField [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing_isField [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComRing_isField.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.comRingMixin [prf, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiAlgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComSemiRing.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.ComUnitAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.comUnitAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzAlgebra_and_GRing_ComUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzAlgebra_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzRing_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_ComUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzSemiAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComNzSemiRing_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzAlgebra_and_GRing_ComUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzAlgebra_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzRing_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_ComUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzSemiAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComPzSemiRing_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_Lmodule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_LSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_NzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_NzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.Exports.join_GRing_ComUnitAlgebra_between_GRing_ComUnitRing_and_GRing_UnitAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitAlgebraExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Exports.comUnitRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Exports.join_GRing_ComUnitRing_between_GRing_ComNzRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Exports.join_GRing_ComUnitRing_between_GRing_ComNzSemiRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Exports.join_GRing_ComUnitRing_between_GRing_ComPzRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.Exports.join_GRing_ComUnitRing_between_GRing_ComPzSemiRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField.fieldP [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isField.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRing_isIntegral.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.ComUnitRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Const [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.converse [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.DecField_isAlgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecField_isAlgClosed.solve_monicpoly [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecFieldExports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.decidable_field_axiom [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.class [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.Exports.decFieldType [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.GRing_ComUnitRing_isIntegral_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.GRing_Field_isDecField_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.GRing_UnitRing_isField_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.sort [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableField.type [rec, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.DecidableFieldElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.div1r [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divalg_closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divalg_closedBdiv [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divalg_closedZ [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Algebra_isAddClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Algebra_isOppClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.divalgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_Algebra_OppClosed_and_GRing_SubalgClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_Algebra_OppClosed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_DivClosed_and_GRing_SubalgClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_DivClosed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_DivringClosed_and_GRing_SubalgClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_DivringClosed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SdivClosed_and_GRing_SubalgClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SdivClosed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SmulClosed_and_GRing_SubalgClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SmulClosed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SubalgClosed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SubalgClosed_and_GRing_SubringClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SubmodClosed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.Exports.join_GRing_DivalgClosed_between_GRing_SubmodClosed_and_GRing_SubringClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.GRing_isInvClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.GRing_isScaleClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivalgClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.Exports.divClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.GRing_isInvClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divff [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divfI [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divfK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divIf [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divIr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divKf [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divKr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divr1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divr1_eq [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divr_2closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divr_closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divr_closedM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divr_closedV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divr_signM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divrI [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divring_closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divring_closed_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divring_closedBM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Algebra_isAddClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Algebra_isOppClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.divringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_Algebra_AddClosed_and_GRing_DivClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_Algebra_AddClosed_and_GRing_SdivClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_DivClosed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_DivClosed_and_GRing_Semiring2Closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_DivClosed_and_GRing_SemiringClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_DivClosed_and_GRing_SubringClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_SdivClosed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_SdivClosed_and_GRing_Semiring2Closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_SdivClosed_and_GRing_SemiringClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.Exports.join_GRing_DivringClosed_between_GRing_SdivClosed_and_GRing_SubringClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.GRing_isInvClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.DivringClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divringClosedP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divrK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divrN [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divrNN [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.divrr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.dnf_rterm [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.dnf_to_form [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.dnf_to_form_qf [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.dnf_to_rform [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.dvdn_charf [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.dvdn_pcharf [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.eq0_rform [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eq_eval [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eq_holds [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eq_sat [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eq_sol [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eqf_sqr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.eqr_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.eqr_sum_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Equal [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eval [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eval_If [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eval_Pick [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.eval_tsubst [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Exists [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.exp [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Exp [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.expf_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.expf_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.expfB [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.expfB_cond [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.expfS_eq1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.expr0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.expr0n [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.expr1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.expr1n [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.expr2 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.expr_div_n [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.expr_dvd [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.expr_mod [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.expr_sum [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprAC [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprB [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.exprBn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprBn_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprD1n [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprDn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprDn_char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.exprDn_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprDn_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprMn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprMn_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprMn_n [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprNn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprNn_char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.exprNn_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprS [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprSr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.exprVn [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.exprZn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.f'E [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.False [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.Exports.fieldType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.GRing_ComUnitRing_isIntegral_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.GRing_UnitRing_isField_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.field_axiom [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Field_isDecField [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.sat [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_isDecField.satP [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.ok_proj [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.proj [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Field_QE_isDecField.wf_proj [proj, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.FieldElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.FieldExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fieldP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorph_char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.fmorph_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorph_eq [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorph_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorph_eq1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorph_inj [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorph_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorph_unit [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fmorphV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.foldExistsP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.foldForallP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Forall [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.formula [ind, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.formula_ind [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.formula_rec [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.formula_rect [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.formula_sind [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.fpred_divl [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fpred_divr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fpredMl [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.fpredMr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Frobenius_aut [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_aut0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_aut1 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_aut_nat [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_autB_comm [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_autD_comm [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_autE [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_autM_comm [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_autMn [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_autN [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Frobenius_autX [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.fsubst [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.has_char0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.has_pchar0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.holds [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.holds_fsubst [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.idfun_is_monoid_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.idfun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.IdomainMixin [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.If [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.If_form_qf [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.If_form_rf [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.imaginary_exists [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Implies [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.in_alg [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.in_alg_is_monoid_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.in_alg_is_nmod_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.in_algE [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.integral_domain_axiom [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.Exports.idomainType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.GRing_ComUnitRing_isIntegral_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomain.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomainElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.IntegralDomainExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.inv [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Inv [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.invf_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invfM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_eq1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_inj [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_out [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_sign [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invr_signM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invrK [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invrM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invrN [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invrN1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.invrZ [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivalgClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isDivringClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isInvClosed.rpredVr [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isLinear [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isLinear [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isLinear.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isLinear.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isLinear.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isLinear.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isLinear.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isLinear.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMonoidMorphism.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul1Closed.rpred1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMul2Closed.rpredM [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMulClosed.rpred1M [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isMultiplicative [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isMultiplicative [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isMultiplicative.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isMultiplicative.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isMultiplicative.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isMultiplicative.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isMultiplicative.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isMultiplicative.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.add [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.add0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.addNr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.addrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.addrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.oner_neq0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.opp [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzRing.zero [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.add [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.add0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.addrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.addrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mul0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mulr0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.oner_neq0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isNzSemiRing.zero [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.add [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.add0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.addNr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.addrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.addrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.opp [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzRing.zero [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.add [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.add0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.addrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.addrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mul0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mulr0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isPzSemiRing.zero [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isScalable [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScalable.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isScaleClosed.rpredZ [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSdivClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSdivClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSdivClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSdivClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSdivClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSdivClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSdivClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSdivClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.isSemilinear [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemilinear [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemilinear.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemilinear.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemilinear.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemilinear.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemilinear.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemilinear.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isSemiringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiringClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiringClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiringClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiringClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiringClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiringClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSemiringClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSmulClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubalgClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLmodule.valZ [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubLSemiModule.valZ [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubmodClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubPzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubringClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiAlgClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiModClosed.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.isSubSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isSubSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.isSubSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.iter_mulr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.iter_mulr_1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra_isAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra_isAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra_isAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra_isComAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra_isComAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lalgebra_isComAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.lalgMixin [prf, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.lastr_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.Algebra_isNmodMorphism_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.GRing_isScalable_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Linear.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linear0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linear_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linear_closedB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linear_for [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linear_sum [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.linear [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.map_at [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.map_class [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.map_for [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.map_for_map [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.mapUV [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.unify_map_at [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.unwrap [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.wrap [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.Linear.wrapped [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.scalable [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.scalar [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.semilinear [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LinearExports.semiscalar [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearMn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearMNn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearPZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearZ_LR [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.linearZZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LmodExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Exports.join_GRing_Lmodule_between_Algebra_BaseZmodule_and_GRing_LSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Exports.join_GRing_Lmodule_between_GRing_LSemiModule_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.Exports.lmodType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Lmodule_isLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lmodule_isLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Lmodule_isLalgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.LmoduleElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lreg [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lreg1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lreg_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lreg_sign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lregM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lregMl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lregN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.lregP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.lregX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.Algebra_isNmodMorphism_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.Exports.join_GRing_LRMorphism_between_GRing_Linear_and_GRing_RMorphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.GRing_isMonoidMorphism_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.GRing_isScalable_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphism.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphismElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LRMorphismExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.LSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.LSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.LSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.LSemiAlgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.LSemiAlgebra_isComSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isComSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isComSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isComSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isComSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isComSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isComSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isComSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiAlgebra_isSemiAlgebra.scalerAr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.Exports.lSemiModType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isComSemiAlgebra.scalerAl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLmodule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModule_isLSemiAlgebra.scalerAl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.LSemiModuleElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MathCompCompatClosedField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField.axiom [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField.class_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField.mcpack [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField.Mixin [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField.mixin_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatClosedField.ClosedField.phant_mcpack [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField.axiom [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField.class_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField.mcpack [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField.Mixin [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField.mixin_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatDecidableField.DecidableField.phant_mcpack [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.MathCompCompatField [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field.axiom [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field.class_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field.mcpack [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field.Mixin [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field.mixin_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatField.Field.phant_mcpack [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain.axiom [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain.class_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain.mcpack [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain.Mixin [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain.mixin_of [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.MathCompCompatIntegralDomain.IntegralDomain.phant_mcpack [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.monoid_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mul [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.mul0r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mul1r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.Exports.mulr2Closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2Closed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Mul2ClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mul_fun [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.Exports.mulrClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.MulClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulf_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulf_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulf_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulfI [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulfK [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulfV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulfVK [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulIf [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulIr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulIr0_rreg [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulIr_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulKf [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulKr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mull_fun [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mull_fun_is_nmod_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mull_fun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulN1r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulNr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr1_eq [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulr_2closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_algl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_algr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_fun [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_fun_is_nmod_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_fun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_natl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_natr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_sign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_signM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_suml [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulr_sumr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrAC [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrACA [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrBl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrBr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrCA [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrDl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrI [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulrI0_lreg [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrI_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrK [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulrN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrN1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrn_char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.mulrn_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrnAl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrnAr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrNN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.mulrV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulrVK [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.multiplicative [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.mulVf [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulVKf [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulVKr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.mulVr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.nat1r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NatConst [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.natf0_char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.natf0_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.natf_neq0 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.natf_neq0_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NatMul [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.natr1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.natr_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.natr_mod_char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.natr_mod_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.natr_prod [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.natr_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.natrB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.natrD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.natrM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.natrX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.nmod_morphism_semilinear [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.mul0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.mulrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.oner_neq0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComNzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.mul0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.mulrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComPzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isComSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Nmodule_isComSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Nmodule_isComSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Nmodule_isLSemiModule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.scale [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.scale0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.scale1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.scalerA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.scalerDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isLSemiModule.scalerDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mul0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mulr0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.oner_neq0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isNzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mul0r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mulr0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isPzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Nmodule_isSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Nmodule_isSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Nmodule_isSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Not [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.null_fun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_Algebra_BaseZmodule_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_Lmodule_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzLalgebra_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzLalgebra_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzLalgebra_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzRing_and_GRing_NzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzRing_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.join_GRing_NzAlgebra_between_GRing_NzSemiRing_and_GRing_PzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.Exports.nzAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_Algebra_BaseZmodule_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_Lmodule_and_GRing_NzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_Lmodule_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_Lmodule_and_GRing_NzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_LSemiModule_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_NzLSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_NzLSemiAlgebra_and_GRing_NzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_NzLSemiAlgebra_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_NzLSemiAlgebra_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_NzRing_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_NzRing_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.join_GRing_NzLalgebra_between_GRing_NzSemiRing_and_GRing_PzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.Exports.nzLalgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLalgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Exports.join_GRing_NzLSemiAlgebra_between_GRing_LSemiModule_and_GRing_NzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Exports.join_GRing_NzLSemiAlgebra_between_GRing_NzSemiRing_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.Exports.nzLSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzLSemiAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Exports.join_GRing_NzRing_between_Algebra_BaseZmodule_and_GRing_NzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Exports.join_GRing_NzRing_between_GRing_NzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Exports.join_GRing_NzRing_between_GRing_NzSemiRing_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.Exports.nzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRing_hasMulInverse [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.inv [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRing_hasMulInverse.unit_subdef [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.NzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Exports.join_GRing_NzSemiAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Exports.join_GRing_NzSemiAlgebra_between_GRing_NzSemiRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.Exports.nzSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.Exports.nzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.NzSemiRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.one [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.oner_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.oner_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Opp [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.opp_fun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.opp_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.oppr_char2 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.oppr_pchar2 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.opprClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Or [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.pchar [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pchar0_natf_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.pchar_lalg [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.pcharf'_nat [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.pcharf0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pcharf0P [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.pcharf_eq [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pcharf_prime [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_aut [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_aut0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_aut1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_aut_is_monoid_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_aut_is_multiplicative [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.pFrobenius_aut_is_nmod_morphism [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_aut_nat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_autB_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_autD_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_autE [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_autM_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_autMn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_autN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.pFrobenius_autX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Pick [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Pick_form_qf [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.prodf_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.prodf_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.prodf_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.prodf_seq_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.prodf_seq_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.prodfV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.prodr_const [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodr_const_nat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodr_undup_exp_count [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrM_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrMl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrMl_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrMn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrMn_const [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrMr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrMr_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.prodrXl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.prodrXr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.proj_sat [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.proj_satP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.PzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Exports.join_GRing_PzAlgebra_between_Algebra_BaseZmodule_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Exports.join_GRing_PzAlgebra_between_GRing_Lmodule_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Exports.join_GRing_PzAlgebra_between_GRing_PzLalgebra_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Exports.join_GRing_PzAlgebra_between_GRing_PzRing_and_GRing_PzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Exports.join_GRing_PzAlgebra_between_GRing_PzSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.Exports.pzAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.join_GRing_PzLalgebra_between_Algebra_BaseZmodule_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.join_GRing_PzLalgebra_between_GRing_Lmodule_and_GRing_PzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.join_GRing_PzLalgebra_between_GRing_Lmodule_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.join_GRing_PzLalgebra_between_GRing_Lmodule_and_GRing_PzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.join_GRing_PzLalgebra_between_GRing_LSemiModule_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.join_GRing_PzLalgebra_between_GRing_PzLSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.join_GRing_PzLalgebra_between_GRing_PzLSemiAlgebra_and_GRing_PzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.Exports.pzLalgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLalgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Exports.join_GRing_PzLSemiAlgebra_between_GRing_LSemiModule_and_GRing_PzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.Exports.pzLSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzLSemiAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Exports.join_GRing_PzRing_between_Algebra_BaseZmodule_and_GRing_PzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Exports.join_GRing_PzRing_between_GRing_PzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.Exports.pzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRing_hasCommutativeMul [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.PzRing_hasCommutativeMul [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.PzRing_hasCommutativeMul.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.PzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.Exports.pzSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiAlgExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.Exports.pzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_hasCommutativeMul [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.PzSemiRing_hasCommutativeMul [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.PzSemiRing_hasCommutativeMul.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.PzSemiRing_isNonZero [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.oner_neq0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRing_isNonZero.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.PzSemiRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.qf_eval [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.qf_evalP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.qf_form [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.qf_to_dnf [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.qf_to_dnf_rterm [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.qf_to_dnfP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.quantifier_elim [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.quantifier_elim_rformP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.quantifier_elim_wf [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.raddf_inj [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.raddfB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.raddfMnat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.raddfMNn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.raddfMsign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.raddfN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.raddfZnat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.raddfZsign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.regular [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.regular_field [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rev_prodr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rev_prodrV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rev_unitrP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.revrX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rformula [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Ring [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring_hasCommutativeMul [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring_hasCommutativeMul [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring_hasCommutativeMul.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring_hasMulInverse [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring_hasMulInverse [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Ring_hasMulInverse.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.rmorph0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_alg [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_char [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.rmorph_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rmorph_eq1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_eq_nat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_nat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_pchar [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_prod [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_sign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_sum [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorph_unit [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rmorphB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.Algebra_isNmodMorphism_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.GRing_isMonoidMorphism_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphism.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphism_monoidP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphismElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.RMorphismExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphismMP [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.rmorphM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphMn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphMNn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphMsign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphN1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rmorphV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rmorphXn [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpred1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpred1M [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpred_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpred_divl [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpred_divr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpred_nat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpred_prod [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpred_sign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpredM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpredMl [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpredMr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpredMsign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpredN1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpredV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpredVr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpredX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpredXN [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpredZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpredZeq [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rpredZnat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rpredZsign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rreg [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rreg1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rreg_neq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rregM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rregMr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rregN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rregP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.rregX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.rterm [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.same_env [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.same_env_sym [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.sat [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.satP [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.scalable_for [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalable_linear [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalable_semilinear [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalarP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalarZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scale [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.comp_op0v [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.comp_op1v [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.comp_opA [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.compN1op [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.N1op [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isLaw.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.op_nmod_morphism [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isPreLaw.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.op0v [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.op1v [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.opA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.isSemiLaw.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.law [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.Scale_isLaw_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.Scale_isPreLaw_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.Law.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.LawElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.N1op [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.op0v [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.op1v [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.op_nmod_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.opA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.preLaw [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.Scale_isPreLaw_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLaw.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.PreLawElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.semiLaw [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.Scale_isPreLaw_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.Scale_isSemiLaw_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLaw.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Scale.SemiLawElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scale0r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scale1r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scale_fun [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scale_fun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scale_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaleN1r [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaleNr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.scaler_injl [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.scaler_nat [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_prod [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_prodl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_prodr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_sign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_suml [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_sumr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scaler_unit [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.scalerA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerAl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerAr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerBl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerBr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerCA [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerDl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerI [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.scalerK [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.scalerKV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.scalerMnl [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerMnr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.scalerN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SdivClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.Algebra_isOppClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.Exports.join_GRing_SdivClosed_between_GRing_DivClosed_and_Algebra_OppClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.Exports.join_GRing_SdivClosed_between_GRing_DivClosed_and_GRing_SmulClosed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.Exports.sdivClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.GRing_isInvClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SdivClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.sdivr_closed [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.sdivr_closed_div [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.sdivr_closedM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiAlgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.semilinear_for [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semilinear_linear [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semilinearP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semilinearPZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SemiRing.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Semiring2Closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.Algebra_isAddClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.Exports.join_GRing_Semiring2Closed_between_Algebra_AddClosed_and_GRing_Mul2Closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.Exports.semiring2Closed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2Closed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Semiring2ClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semiring_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semiring_closedD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semiring_closedM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.mulrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiRing_hasCommutativeMul.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.Algebra_isAddClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.Exports.join_GRing_SemiringClosed_between_Algebra_AddClosed_and_GRing_MulClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.Exports.join_GRing_SemiringClosed_between_GRing_MulClosed_and_GRing_Semiring2Closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.Exports.semiringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SemiringClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semiringClosedP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.semiscalarP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sign [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.signr_addb [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.signr_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.signr_odd [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.signrE [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.signrMK [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.signrN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.signrZK [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.size_sol [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.SmulClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.Algebra_isOppClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.Exports.join_GRing_SmulClosed_between_GRing_Mul2Closed_and_Algebra_OppClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.Exports.join_GRing_SmulClosed_between_GRing_MulClosed_and_Algebra_OppClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.Exports.smulClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SmulClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.smulr_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.smulr_closedM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.smulr_closedN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sol [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.solP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.solve_monicpoly [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.sqrf_eq0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.sqrf_eq1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.sqrr_sign [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sqrrB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sqrrB1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sqrrD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sqrrD1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sqrrN [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.sub_fun_is_scalable [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subalg_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subalg_closed_semi [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subalg_closedBM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subalg_closedZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.Algebra_isAddClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.Exports.join_GRing_SubalgClosed_between_GRing_Mul2Closed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.Exports.join_GRing_SubalgClosed_between_GRing_MulClosed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.Exports.join_GRing_SubalgClosed_between_GRing_Semiring2Closed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.Exports.join_GRing_SubalgClosed_between_GRing_SemiringClosed_and_GRing_SubmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.Exports.subalgClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.GRing_isScaleClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubalgClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subalgClosedP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubAlgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubComNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComNzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComPzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubComRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubComRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubComRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubComSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubComSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubComSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubComUnitRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubComUnitRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubComUnitRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubComUnitRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubComUnitRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubComUnitRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubComUnitRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubComUnitRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubIntegralDomain.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubLmodule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLmodule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLmodule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLmodule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLmodule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLmodule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLmodule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLmodule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubLSemiModule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLalgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzLSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubNzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLalgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzLSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubPzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubChoice_isSubRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubChoice_isSubUnitRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubUnitRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubUnitRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubUnitRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubUnitRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubUnitRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubUnitRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubChoice_isSubUnitRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_Algebra_BaseZmodule_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzSemiRing_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzSemiRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComNzSemiRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComPzRing_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComPzRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComPzRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_ComPzSemiRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_NzRing_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_NzRing_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_NzRing_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_NzSemiRing_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_PzRing_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComNzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComNzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComNzSemiRing_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComNzSemiRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComNzSemiRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComPzRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComPzRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.join_GRing_SubComNzRing_between_GRing_SubComPzSemiRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.Exports.subComNzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComNzSemiRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_ComPzSemiRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_NzSemiRing_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.join_GRing_SubComNzSemiRing_between_GRing_SubComPzSemiRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.Exports.subComNzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComNzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_Algebra_BaseZmodule_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_ComPzSemiRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_PzRing_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_SubComPzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_SubComPzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.join_GRing_SubComPzRing_between_GRing_SubComPzSemiRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.Exports.subComPzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.join_GRing_SubComPzSemiRing_between_GRing_ComPzSemiRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.join_GRing_SubComPzSemiRing_between_GRing_ComPzSemiRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.join_GRing_SubComPzSemiRing_between_GRing_ComPzSemiRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.join_GRing_SubComPzSemiRing_between_GRing_ComPzSemiRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.join_GRing_SubComPzSemiRing_between_GRing_ComPzSemiRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.join_GRing_SubComPzSemiRing_between_GRing_ComPzSemiRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.join_GRing_SubComPzSemiRing_between_GRing_ComPzSemiRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.Exports.subComPzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComPzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubComRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComRing.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComSemiRing.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubComUnitRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComNzRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComNzSemiRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComPzRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComPzSemiRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubComNzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_ComUnitRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComNzRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComNzRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComNzSemiRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComNzSemiRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComPzRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComPzRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComPzSemiRing_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.join_GRing_SubComUnitRing_between_GRing_SubComPzSemiRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.Exports.subComUnitRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRing_isSubIntegralDomain.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubComUnitRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubExports [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubExports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubComNzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubComUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubIntegralDomain [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.join_GRing_SubField_between_GRing_Field_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.Exports.subFieldType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.GRing_ComUnitRing_isIntegral_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.GRing_UnitRing_isField_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubField.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubFieldElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubComNzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubComNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubComPzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubComPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubComUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.join_GRing_SubIntegralDomain_between_GRing_IntegralDomain_and_GRing_SubUnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.Exports.subIdomainType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.GRing_ComUnitRing_isIntegral_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.GRing_SemiRing_hasCommutativeMul_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomain_isSubField.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubIntegralDomainElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLalgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLalgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLalgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLmodule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_Algebra_BaseZmodule_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_Lmodule_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_LSemiModule_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_SubLSemiModule_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.join_GRing_SubLmodule_between_GRing_SubLSemiModule_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.Exports.subLmodType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmodule.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLmoduleElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLSemiAlgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiAlgebra_isSubSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports.join_GRing_SubLSemiModule_between_GRing_LSemiModule_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports.join_GRing_SubLSemiModule_between_GRing_LSemiModule_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports.join_GRing_SubLSemiModule_between_GRing_LSemiModule_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports.join_GRing_SubLSemiModule_between_GRing_LSemiModule_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports.join_GRing_SubLSemiModule_between_GRing_LSemiModule_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports.join_GRing_SubLSemiModule_between_GRing_LSemiModule_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.Exports.subLSemiModType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModule.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubLSemiModuleElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.submod_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.submod_closed_semi [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.submod_closedB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.Algebra_isAddClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.Exports.submodClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.GRing_isScaleClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubmodClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.submodClosedP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubLSemiModule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubNzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubPzSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNmodule_isSubSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubNmodule_isSubSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubNmodule_isSubSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubNzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_Algebra_BaseZmodule_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_Lmodule_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubNzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzAlgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzLalgebra_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzLalgebra_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzLalgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzRing_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzRing_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzRing_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubNzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_NzSemiRing_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzAlgebra_and_GRing_SubNzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzAlgebra_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzAlgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzAlgebra_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzAlgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzLalgebra_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzRing_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubNzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubLmodule_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzLalgebra_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzLalgebra_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzLalgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzLSemiAlgebra_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzRing_and_GRing_SubNzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzRing_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzRing_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzSemiAlgebra_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzSemiAlgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzSemiAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.join_GRing_SubNzAlgebra_between_GRing_SubNzSemiRing_and_GRing_SubPzAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.Exports.subNzAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_Algebra_BaseZmodule_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_Lmodule_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_Lmodule_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_Lmodule_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_LSemiModule_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLalgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzRing_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzRing_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzRing_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzRing_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzRing_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzSemiRing_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_NzSemiRing_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_PzLalgebra_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_PzLalgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_PzLalgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_PzLSemiAlgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_PzRing_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubLmodule_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubLmodule_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubLmodule_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubLSemiModule_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzLSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzLSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzLSemiAlgebra_and_GRing_SubNzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzLSemiAlgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzLSemiAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzRing_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzRing_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.join_GRing_SubNzLalgebra_between_GRing_SubNzSemiRing_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.Exports.subNzLalgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLalgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_LSemiModule_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzSemiRing_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_NzSemiRing_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_SubLSemiModule_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.join_GRing_SubNzLSemiAlgebra_between_GRing_SubNzSemiRing_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.Exports.subNzLSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzLSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_Algebra_BaseZmodule_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_NzSemiRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_PzRing_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_SubNzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_SubNzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.join_GRing_SubNzRing_between_GRing_SubNzSemiRing_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.Exports.subNzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzRing_isSubUnitRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRing_isSubUnitRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRing_isSubUnitRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRing_isSubUnitRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRing_isSubUnitRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRing_isSubUnitRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRing_isSubUnitRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRing_isSubUnitRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubNzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiAlgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_NzSemiRing_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubNzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubNzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_SubNzLSemiAlgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.join_GRing_SubNzSemiAlgebra_between_GRing_SubNzSemiRing_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.Exports.subNzSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.join_GRing_SubNzSemiRing_between_GRing_NzSemiRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.join_GRing_SubNzSemiRing_between_GRing_NzSemiRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.join_GRing_SubNzSemiRing_between_GRing_NzSemiRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.join_GRing_SubNzSemiRing_between_GRing_NzSemiRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.join_GRing_SubNzSemiRing_between_GRing_NzSemiRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.join_GRing_SubNzSemiRing_between_GRing_NzSemiRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.join_GRing_SubNzSemiRing_between_GRing_NzSemiRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.Exports.subNzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubNzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_Algebra_BaseZmodule_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_Lmodule_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzAlgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzLalgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzRing_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubPzLalgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_SubLmodule_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_SubPzLalgebra_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_SubPzRing_and_GRing_SubPzSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_SubPzSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.join_GRing_SubPzAlgebra_between_GRing_SubPzSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.Exports.subPzAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_Algebra_BaseZmodule_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_Lmodule_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_Lmodule_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_Lmodule_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_LSemiModule_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLalgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLSemiAlgebra_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzLSemiAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzRing_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzRing_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzRing_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_PzSemiRing_and_GRing_SubLmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_SubLmodule_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_SubLmodule_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_SubLmodule_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_SubLSemiModule_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_SubPzLSemiAlgebra_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_SubPzLSemiAlgebra_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.join_GRing_SubPzLalgebra_between_GRing_SubPzLSemiAlgebra_and_GRing_SubPzRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.Exports.subPzLalgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLalgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_LSemiModule_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzLSemiAlgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_PzSemiRing_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.join_GRing_SubPzLSemiAlgebra_between_GRing_SubLSemiModule_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.Exports.subPzLSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzLSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_Algebra_BaseZmodule_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzRing_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_PzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_SubPzSemiRing_and_Algebra_SubZmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.join_GRing_SubPzRing_between_GRing_SubPzSemiRing_and_Algebra_Zmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.Exports.subPzRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzRing_isSubComPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRing_isSubComPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRing_isSubComPzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRing_isSubComPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRing_isSubComPzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRing_isSubComPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRing_isSubComPzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRing_isSubComPzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubPzRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubLSemiModule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubPzLSemiAlgebra [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.join_GRing_SubPzSemiAlgebra_between_GRing_PzSemiAlgebra_and_GRing_SubPzSemiRing [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.Exports.subPzSemiAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.GRing_isSubLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports.join_GRing_SubPzSemiRing_between_GRing_PzSemiRing_and_Algebra_SubAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports.join_GRing_SubPzSemiRing_between_GRing_PzSemiRing_and_Algebra_SubBaseAddUMagma [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports.join_GRing_SubPzSemiRing_between_GRing_PzSemiRing_and_Algebra_SubNmodule [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports.join_GRing_SubPzSemiRing_between_GRing_PzSemiRing_and_choice_SubChoice [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports.join_GRing_SubPzSemiRing_between_GRing_PzSemiRing_and_eqtype_SubEquality [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports.join_GRing_SubPzSemiRing_between_GRing_PzSemiRing_and_eqtype_SubType [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.Exports.subPzSemiRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRing_isNonZero.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubPzSemiRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subr_2closed [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.subr_char2 [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.subr_pchar2 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subr_sqr [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subr_sqr_1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subr_sqrDB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubRing.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.subring_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subring_closed_semi [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subring_closedB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subring_closedM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubRing_SubLmodule_isSubLalgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Algebra_isAddClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Algebra_isOppClosed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.class [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_Algebra_AddClosed_and_GRing_SmulClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_Algebra_OppClosed_and_GRing_Semiring2Closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_Algebra_OppClosed_and_GRing_SemiringClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_GRing_Mul2Closed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_GRing_MulClosed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_GRing_Semiring2Closed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_GRing_Semiring2Closed_and_GRing_SmulClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_GRing_SemiringClosed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_GRing_SemiringClosed_and_GRing_SmulClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.join_GRing_SubringClosed_between_GRing_SmulClosed_and_Algebra_ZmodClosed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.Exports.subringClosed [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.GRing_isMul1Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.GRing_isMul2Closed_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.sort [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosed.type [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubringClosedElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subringClosedP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subrX1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subrXX [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subrXX_comm [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemialg_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemialg_closed_subalg [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemialg_closedBM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemialg_closedM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemialg_closedZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemialgClosedP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiAlgebra.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.subsemimod_closed [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemimod_closed_submod [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemimod_closedB [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemimod_closedD [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemimod_closedZ [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.subsemimodClosedP [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiRing.sort [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubSemiRing_isSubComSemiRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_isSubComSemiRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_isSubComSemiRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_isSubComSemiRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_isSubComSemiRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_isSubComSemiRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_isSubComSemiRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_isSubComSemiRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubSemiRing_SubLSemiModule_isSubLSemiAlgebra.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.SubUnitRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Algebra_isSubBaseAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.eqtype_isSub_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_Algebra_SubAddUMagma_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_Algebra_SubBaseAddUMagma_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_Algebra_SubNmodule_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_Algebra_SubZmodule_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_choice_SubChoice_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_eqtype_SubEquality_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_eqtype_SubType_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_GRing_SubNzRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_GRing_SubNzSemiRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_GRing_SubPzRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.join_GRing_SubUnitRing_between_GRing_SubPzSemiRing_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.Exports.subUnitRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.GRing_isSubPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubUnitRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.SubZmodule_isSubNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubNzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubPzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.SubZmodule_isSubRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.telescope_prodf [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.telescope_prodf_eq [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.telescope_prodr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.telescope_prodr_eq [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.term [ind, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.term_ind [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.term_rec [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.term_rect [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.term_sind [scheme, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory [mod, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.add0r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addf_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.addIr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.additive [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.additive_linear [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.additive_semilinear [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.addKr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addKr_char2 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.addKr_pchar2 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addNKr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addNr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addr0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addr0_eq [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addr_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrAC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrACA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrCA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrI [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrK [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrK_char2 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.addrK_pchar2 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrKA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrNK [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.addrr_char2 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.addrr_pchar2 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.bin_lt_charf_0 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.bin_lt_pcharf_0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.can2_additive [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.can2_linear [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.can2_monoid_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.can2_nmod_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.can2_rmorphism [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.can2_scalable [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.can2_semi_additive [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.can2_semilinear [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.can2_zmod_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.char0_natf_div [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.char_lalg [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.charf'_nat [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.charf0 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.charf0P [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.charf_eq [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.charf_prime [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.comm_alg [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr_prod [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr_refl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr_sign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commr_sym [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commrB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commrD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commrM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commrMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commrN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commrN1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.commrV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.commrX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.div1r [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divff [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divfI [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divfK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divIf [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divIr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divKf [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divKr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divr1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divr1_eq [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divr_signM [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divrI [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divringClosedP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divrK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divrN [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divrNN [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.divrr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.dvdn_charf [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.dvdn_pcharf [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.eq_eval [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.eq_holds [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.eq_sat [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.eq_sol [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.eqf_sqr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.eqr_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.eqr_opp [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.eqr_oppLR [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.eqr_sum_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.eval_tsubst [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.expf_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.expf_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.expfB [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.expfB_cond [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.expfS_eq1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.expr0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.expr0n [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.expr1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.expr1n [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.expr2 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.expr_div_n [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.expr_dvd [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.expr_mod [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.expr_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprAC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprB [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.exprBn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprBn_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprD1n [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprDn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprDn_char [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.exprDn_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprDn_pchar [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprMn_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprMn_n [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprNn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprNn_char [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.exprNn_pchar [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprS [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprSr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.exprVn [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.exprZn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.fieldP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorph_char [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.fmorph_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorph_eq [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorph_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorph_eq1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorph_inj [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorph_pchar [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorph_unit [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fmorphV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fpred_divl [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fpred_divr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fpredMl [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.fpredMr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.Frobenius_aut0 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_aut1 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_aut_nat [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_autB_comm [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_autD_comm [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_autE [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_autM_comm [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_autMn [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_autN [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.Frobenius_autX [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.holds_fsubst [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.imaginary_exists [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.in_alg [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.in_algE [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.invf_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invfM [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr_eq1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr_inj [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr_out [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr_sign [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invr_signM [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invrK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invrM [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invrN [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invrN1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.invrZ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.iter_addr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.iter_addr_0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.iter_mulr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.iter_mulr_1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linear0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linear_for [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linear_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearE [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearMNn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearPZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearZ_LR [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.linearZZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.lreg1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.lreg_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.lreg_sign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.lregM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.lregN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.lregP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.lregX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.monoid_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mul0r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mul0rn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mul1r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulf_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulf_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulf_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulfI [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulfK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulfV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulfVK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulIf [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulIr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulIr0_rreg [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulIr_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulKf [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulKr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulN1r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulNr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulNrn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr0n [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr1_eq [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulr1n [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr2n [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_algl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_algr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_natl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_natr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_sign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_signM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_suml [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulr_sumr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrAC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrACA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrb [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrBl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrBr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrCA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrDl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrI [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulrI0_lreg [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrI_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulrN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrN1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrn_char [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.mulrn_pchar [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnAC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnAl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnAr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnBl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnBr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnDl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrnDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrNN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrS [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrSr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.mulrV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulrVK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.multiplicative [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.mulVf [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulVKf [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulVKr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.mulVr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.nat1r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.natf0_char [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.natf0_pchar [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.natf_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.natf_neq0_pchar [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.natr1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.natr_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.natr_prod [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.natr_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.natrB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.natrD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.natrM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.natrX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.nmod_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.nmod_morphism_semilinear [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.null_fun [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.oner_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.oner_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.oppr0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.oppr_char2 [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.oppr_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.oppr_inj [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.oppr_pchar2 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.opprB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.opprD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.opprK [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pchar0_natf_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.pchar_lalg [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.pcharf'_nat [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.pcharf0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pcharf0P [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.pcharf_eq [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pcharf_prime [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_aut0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_aut1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_aut_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_autB_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_autD_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_autE [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_autM_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_autMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_autN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.pFrobenius_autX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodf_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.prodf_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.prodf_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.prodf_seq_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.prodf_seq_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.prodfV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.prodr_const [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodr_const_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodr_undup_exp_count [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrM_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrMl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrMl_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrMn_const [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrMr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrMr_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.prodrXl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.prodrXr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddf [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddf0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddf_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddf_inj [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddf_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfMnat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfMNn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfMsign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfZnat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.raddfZsign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rev_prodr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rev_prodrV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rev_unitrP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.revrX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_alg [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_char [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.rmorph_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rmorph_eq1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_eq_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_pchar [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_prod [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_sign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorph_unit [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rmorphB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphE [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphism_monoidP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphismMP [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.rmorphM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphMNn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphMsign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphN1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rmorphV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rmorphXn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred0D [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred1M [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred_div [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpred_divl [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpred_divr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpred_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred_prod [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred_sign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpred_sum [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredBC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredBl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredBr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredDl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredMl [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpredMn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredMNn [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredMr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpredMsign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredN1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredNr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpredVr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpredX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredXN [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpredZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredZeq [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rpredZnat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rpredZsign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rreg1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rreg_neq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rregM [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rregN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.rregP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.rregX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.satP [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.scalable_for [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalable_linear [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalable_semilinear [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalarP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalarZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scale0r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scale1r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaleN1r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaleNr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.scaler_injl [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.scaler_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_prod [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_prodl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_prodr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_sign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_suml [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_sumr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scaler_unit [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.scalerA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerAl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerAr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerBl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerBr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerCA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerDl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerDr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerI [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.scalerK [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.scalerKV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.scalerMnl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerMnr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.scalerN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.semi_additive [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Theory.semilinear_for [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.semilinearP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.semilinearPZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.semiringClosedP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.semiscalarP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.signr_addb [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.signr_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.signr_odd [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.signrE [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.signrMK [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.signrN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.signrZK [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.size_sol [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.solP [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.solve_monicpoly [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.Theory.sqrf_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.sqrf_eq1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.sqrr_sign [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sqrrB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sqrrB1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sqrrD [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sqrrD1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sqrrN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sub0r [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subalgClosedP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subIr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subKr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.submodClosedP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subr0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subr0_eq [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subr_eq [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subr_eq0 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subr_sqr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subr_sqr_1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subr_sqrDB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrI [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subringClosedP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrK [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrKA [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrKC [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrX1 [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrXX [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.subrXX_comm [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sumr_const [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sumr_const_nat [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sumrB [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sumrMnl [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sumrMnr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.sumrN [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.telescope_prodf [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.telescope_prodf_eq [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.telescope_prodr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.telescope_prodr_eq [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.telescope_sumr [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.telescope_sumr_eq [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.unitfE [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitr0 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitr1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitr_prod [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitr_prod_in [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitr_prodP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrE [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrM [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrM_comm [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrMl [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrMr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrN [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrN1 [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrP [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrPr [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrV [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrX [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.unitrX_pos [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Theory.zmod_morphism [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.zmod_morphism_linear [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Theory.zmodClosedP [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.to_rform [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.to_rform_rformula [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.to_rformP [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.to_rterm [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.to_rterm_id [prf, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.True [abbrev, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.tsubst [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.ub_var [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.unit [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.Unit [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.unit_pred [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unit_subdef [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_Lmodule_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_LSemiModule_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_NzAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_NzLalgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_NzLSemiAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_NzSemiAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_PzAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_PzLalgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_PzLSemiAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.join_GRing_UnitAlgebra_between_GRing_PzSemiAlgebra_and_GRing_UnitRing [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.Exports.unitAlgType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.GRing_LSemiAlgebra_isSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.GRing_LSemiModule_isLSemiAlgebra_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.GRing_Nmodule_isLSemiModule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebra.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebraElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitAlgebraExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitfE [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitr0 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitr1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitr_prod [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitr_prod_in [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitr_prodP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitr_sdivr_closed [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrE [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Algebra_AddMagma_isAddSemigroup_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Algebra_BaseAddMagma_isAddMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Algebra_BaseAddUMagma_isAddUMagma_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Algebra_BaseZmoduleNmodule_isZmodule_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Algebra_hasAdd_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Algebra_hasOpp_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Algebra_hasZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.choice_hasChoice_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.class [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.clone [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.copy [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.eqtype_hasDecEq_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.Exports.unitRingType [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.GRing_Nmodule_isPzSemiRing_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.GRing_NzRing_hasMulInverse_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.GRing_PzSemiRing_isNonZero_mixin [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.on [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.on_ [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.pack_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.phant_clone [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.phant_on_ [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.sort [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing.type [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.fieldP [proj, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.identity_builder [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRing_isField.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRingElpiOperations [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.UnitRingExports [mod, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrM [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrM_comm [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrMl [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrMr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrN [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrN1 [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrP [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrPr [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrV [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrX [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.unitrX_pos [prf, in mathcomp.algebra.algebraic_hierarchy.divalg]
    GRing.val [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.val [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.val1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.valid_QE_proj [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.valM [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.valM1 [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.valZ [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Var [constr, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.wf_QE_proj [def, in mathcomp.algebra.algebraic_hierarchy.decfield]
    GRing.zmod_closedD [def, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.zmod_morphism_linear [prf, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.mulrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.oner_neq0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComNzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.mulrC [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComPzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isComRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Zmodule_isComRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Zmodule_isComRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Zmodule_isLmodule [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.scale [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.scale1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.scalerA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.scalerDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isLmodule.scalerDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.oner_neq0 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isNzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.axioms [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.axioms_ [rec, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.Exports [mod, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.mul [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.mul1r [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.mulr1 [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.mulrA [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.mulrDl [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.mulrDr [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.one [proj, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.phant_axioms [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isPzRing.phant_Build [def, in mathcomp.algebra.algebraic_hierarchy.rings_modules_and_algebras]
    GRing.Zmodule_isRing [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Zmodule_isRing [mod, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    GRing.Zmodule_isRing.Build [abbrev, in mathcomp.algebra.algebraic_hierarchy.ssralg]
    gring_class_sum [def, in mathcomp.group_representation.integral_char]
    gring_class_sum_central [prf, in mathcomp.group_representation.integral_char]
    gring_classM_coef [def, in mathcomp.group_representation.integral_char]
    gring_classM_coef_set [def, in mathcomp.group_representation.integral_char]
    gring_classM_coef_sum_eq [prf, in mathcomp.group_representation.integral_char]
    gring_classM_expansion [prf, in mathcomp.group_representation.integral_char]
    gring_free [prf, in mathcomp.group_representation.mxrepresentation]
    gring_index [def, in mathcomp.group_representation.mxrepresentation]
    gring_indexK [prf, in mathcomp.group_representation.mxrepresentation]
    gring_irr_mode [abbrev, in mathcomp.group_representation.integral_char]
    gring_irr_mode [mod, in mathcomp.group_representation.integral_char]
    gring_irr_mode.body [def, in mathcomp.group_representation.integral_char]
    gring_irr_mode.unlock [def, in mathcomp.group_representation.integral_char]
    gring_irr_mode_Locked [modtype, in mathcomp.group_representation.integral_char]
    gring_irr_mode_Locked.body [ax, in mathcomp.group_representation.integral_char]
    gring_irr_mode_Locked.unlock [ax, in mathcomp.group_representation.integral_char]
    gring_irr_mode_unlock_subterm [def, in mathcomp.group_representation.integral_char]
    gring_irr_mode_unlockable [def, in mathcomp.group_representation.integral_char]
    gring_irr_modeM [prf, in mathcomp.group_representation.integral_char]
    gring_mode_class_sum_eq [prf, in mathcomp.group_representation.integral_char]
    gring_mx [def, in mathcomp.group_representation.mxrepresentation]
    gring_mxA [prf, in mathcomp.group_representation.mxrepresentation]
    gring_mxJ [prf, in mathcomp.group_representation.mxrepresentation]
    gring_mxK [prf, in mathcomp.group_representation.mxrepresentation]
    gring_mxP [prf, in mathcomp.group_representation.mxrepresentation]
    gring_op [def, in mathcomp.group_representation.mxrepresentation]
    gring_op1 [prf, in mathcomp.group_representation.mxrepresentation]
    gring_op_id [prf, in mathcomp.group_representation.mxrepresentation]
    gring_op_mx [prf, in mathcomp.group_representation.mxrepresentation]
    gring_opE [prf, in mathcomp.group_representation.mxrepresentation]
    gring_opG [prf, in mathcomp.group_representation.mxrepresentation]
    gring_opJ [prf, in mathcomp.group_representation.mxrepresentation]
    gring_opM [prf, in mathcomp.group_representation.mxrepresentation]
    gring_proj [def, in mathcomp.group_representation.mxrepresentation]
    gring_projE [prf, in mathcomp.group_representation.mxrepresentation]
    gring_row [def, in mathcomp.group_representation.mxrepresentation]
    gring_row_mul [prf, in mathcomp.group_representation.mxrepresentation]
    gring_rowK [prf, in mathcomp.group_representation.mxrepresentation]
    gring_valK [prf, in mathcomp.group_representation.mxrepresentation]
    group [def, in mathcomp.finite_group.fingroup]
    Group [abbrev, in mathcomp.boot.monoid]
    Group [mod, in mathcomp.boot.monoid]
    Group.axioms_ [rec, in mathcomp.boot.monoid]
    Group.choice_hasChoice_mixin [proj, in mathcomp.boot.monoid]
    Group.class [proj, in mathcomp.boot.monoid]
    Group.clone [abbrev, in mathcomp.boot.monoid]
    Group.copy [abbrev, in mathcomp.boot.monoid]
    Group.eqtype_hasDecEq_mixin [proj, in mathcomp.boot.monoid]
    Group.Exports [mod, in mathcomp.boot.monoid]
    Group.Exports.groupType [abbrev, in mathcomp.boot.monoid]
    Group.monoid_BaseUMagma_isUMagma_mixin [proj, in mathcomp.boot.monoid]
    Group.monoid_hasInv_mixin [proj, in mathcomp.boot.monoid]
    Group.monoid_hasMul_mixin [proj, in mathcomp.boot.monoid]
    Group.monoid_hasOne_mixin [proj, in mathcomp.boot.monoid]
    Group.monoid_Magma_isSemigroup_mixin [proj, in mathcomp.boot.monoid]
    Group.monoid_Monoid_isStarMonoid_mixin [proj, in mathcomp.boot.monoid]
    Group.monoid_StarMonoid_isGroup_mixin [proj, in mathcomp.boot.monoid]
    Group.on [abbrev, in mathcomp.boot.monoid]
    Group.on_ [abbrev, in mathcomp.boot.monoid]
    Group.pack_ [def, in mathcomp.boot.monoid]
    Group.phant_clone [def, in mathcomp.boot.monoid]
    Group.phant_on_ [def, in mathcomp.boot.monoid]
    Group.sort [proj, in mathcomp.boot.monoid]
    Group.type [rec, in mathcomp.boot.monoid]
    group0 [prf, in mathcomp.finite_group.gproduct]
    group1 [prf, in mathcomp.finite_group.fingroup]
    group1_contra [prf, in mathcomp.finite_group.fingroup]
    group_closed [def, in mathcomp.boot.monoid]
    group_closedM [prf, in mathcomp.boot.monoid]
    group_closedV [prf, in mathcomp.boot.monoid]
    group_closure_closed_field [prf, in mathcomp.group_representation.mxrepresentation]
    group_closure_field [def, in mathcomp.group_representation.mxrepresentation]
    group_closure_field_exists [prf, in mathcomp.group_representation.mxrepresentation]
    group_dfwith [def, in mathcomp.finite_group.gproduct]
    group_dfwithE [prf, in mathcomp.finite_group.gproduct]
    group_inj [prf, in mathcomp.finite_group.fingroup]
    group_Ldiv [prf, in mathcomp.solvable.abelian]
    group_modl [prf, in mathcomp.finite_group.fingroup]
    group_modr [prf, in mathcomp.finite_group.fingroup]
    group_not0 [prf, in mathcomp.finite_group.gproduct]
    group_num_field_exists [prf, in mathcomp.group_representation.integral_char]
    group_of [def, in mathcomp.finite_group.fingroup]
    group_prod [prf, in mathcomp.finite_group.fingroup]
    group_rel_of [def, in mathcomp.solvable.gseries]
    group_representation [file, in mathcomp.group_representation.group_representation]
    group_ring [def, in mathcomp.group_representation.mxrepresentation]
    group_set [def, in mathcomp.finite_group.fingroup]
    group_set_astab [prf, in mathcomp.finite_group.action]
    group_set_astabs [prf, in mathcomp.finite_group.action]
    group_set_bigcap [prf, in mathcomp.finite_group.fingroup]
    group_set_conjG [prf, in mathcomp.finite_group.fingroup]
    group_set_dfwith [prf, in mathcomp.finite_group.gproduct]
    group_set_diso3 [prf, in mathcomp.solvable.burnside_app]
    group_set_gacent [prf, in mathcomp.finite_group.action]
    group_set_generated [prf, in mathcomp.finite_group.fingroup]
    group_set_inertia [prf, in mathcomp.group_representation.inertia]
    group_set_iso [prf, in mathcomp.solvable.burnside_app]
    group_set_iso2 [prf, in mathcomp.solvable.burnside_app]
    group_set_iso3 [prf, in mathcomp.solvable.burnside_app]
    group_set_normaliser [prf, in mathcomp.finite_group.fingroup]
    group_set_one [prf, in mathcomp.finite_group.fingroup]
    group_set_rot [prf, in mathcomp.solvable.burnside_app]
    group_set_rotations [prf, in mathcomp.solvable.burnside_app]
    group_setI [prf, in mathcomp.finite_group.fingroup]
    group_setJ [prf, in mathcomp.finite_group.fingroup]
    group_setP [prf, in mathcomp.finite_group.fingroup]
    group_setT [prf, in mathcomp.finite_group.fingroup]
    group_setX [prf, in mathcomp.finite_group.gproduct]
    group_setXn [prf, in mathcomp.finite_group.gproduct]
    group_splitting_field [def, in mathcomp.group_representation.mxrepresentation]
    group_splitting_field_exists [prf, in mathcomp.group_representation.mxrepresentation]
    group_type [rec, in mathcomp.finite_group.fingroup]
    groupAction [rec, in mathcomp.finite_group.action]
    groupC [prf, in mathcomp.group_representation.character]
    GroupClosed [abbrev, in mathcomp.boot.monoid]
    GroupClosed [mod, in mathcomp.boot.monoid]
    GroupClosed.axioms_ [rec, in mathcomp.boot.monoid]
    GroupClosed.class [proj, in mathcomp.boot.monoid]
    GroupClosed.clone [abbrev, in mathcomp.boot.monoid]
    GroupClosed.copy [abbrev, in mathcomp.boot.monoid]
    GroupClosed.Exports [mod, in mathcomp.boot.monoid]
    GroupClosed.Exports.groupClosed [abbrev, in mathcomp.boot.monoid]
    GroupClosed.Exports.join_monoid_GroupClosed_between_monoid_InvClosed_and_monoid_MulClosed [def, in mathcomp.boot.monoid]
    GroupClosed.Exports.join_monoid_GroupClosed_between_monoid_InvClosed_and_monoid_UMagmaClosed [def, in mathcomp.boot.monoid]
    GroupClosed.monoid_isInvClosed_mixin [proj, in mathcomp.boot.monoid]
    GroupClosed.monoid_isMul1Closed_mixin [proj, in mathcomp.boot.monoid]
    GroupClosed.monoid_isMulClosed_mixin [proj, in mathcomp.boot.monoid]
    GroupClosed.on [abbrev, in mathcomp.boot.monoid]
    GroupClosed.on_ [abbrev, in mathcomp.boot.monoid]
    GroupClosed.pack_ [def, in mathcomp.boot.monoid]
    GroupClosed.phant_clone [def, in mathcomp.boot.monoid]
    GroupClosed.phant_on_ [def, in mathcomp.boot.monoid]
    GroupClosed.sort [proj, in mathcomp.boot.monoid]
    GroupClosed.type [rec, in mathcomp.boot.monoid]
    GroupClosedElpiOperations [mod, in mathcomp.boot.monoid]
    groupD1_inj [prf, in mathcomp.finite_group.fingroup]
    GroupElpiOperations [mod, in mathcomp.boot.monoid]
    groupJ [prf, in mathcomp.finite_group.fingroup]
    groupJr [prf, in mathcomp.finite_group.fingroup]
    groupM [prf, in mathcomp.finite_group.fingroup]
    groupMl [prf, in mathcomp.finite_group.fingroup]
    groupMr [prf, in mathcomp.finite_group.fingroup]
    groupP [prf, in mathcomp.finite_group.fingroup]
    groupR [prf, in mathcomp.finite_group.fingroup]
    GroupScope [mod, in mathcomp.finite_group.fingroup]
    GroupSet [mod, in mathcomp.finite_group.fingroup]
    GroupSet.sort [def, in mathcomp.finite_group.fingroup]
    GroupSetBaseGroup [mod, in mathcomp.finite_group.fingroup]
    GroupSetBaseGroupSig [modtype, in mathcomp.finite_group.fingroup]
    GroupSetBaseGroupSig.sort [def, in mathcomp.finite_group.fingroup]
    GroupSetFinStarMonoid [mod, in mathcomp.finite_group.fingroup]
    GroupSetFinStarMonoidSig [modtype, in mathcomp.finite_group.fingroup]
    GroupSetFinStarMonoidSig.sort [def, in mathcomp.finite_group.fingroup]
    GroupSetMagma [mod, in mathcomp.finite_group.fingroup]
    GroupSetMagmaSig [modtype, in mathcomp.finite_group.fingroup]
    GroupSetMagmaSig.sort [def, in mathcomp.finite_group.fingroup]
    groupT [abbrev, in mathcomp.solvable.gseries]
    groupT [abbrev, in mathcomp.finite_group.fingroup]
    groupV [prf, in mathcomp.finite_group.fingroup]
    groupVl [prf, in mathcomp.finite_group.fingroup]
    groupVr [prf, in mathcomp.finite_group.fingroup]
    groupX [prf, in mathcomp.finite_group.fingroup]
    groupX0 [prf, in mathcomp.finite_group.gproduct]
    groupXn1 [def, in mathcomp.finite_group.gproduct]
    Grp'_dihedral [prf, in mathcomp.solvable.extremal]
    Grp_2dihedral [prf, in mathcomp.solvable.extremal]
    Grp_dihedral [prf, in mathcomp.solvable.extremal]
    Grp_ext_dihedral [prf, in mathcomp.solvable.extremal]
    Grp_modular_group [prf, in mathcomp.solvable.extremal]
    Grp_pX1p2 [prf, in mathcomp.solvable.extraspecial]
    Grp_quaternion [prf, in mathcomp.solvable.extremal]
    Grp_semidihedral [prf, in mathcomp.solvable.extremal]
    GSection [constr, in mathcomp.solvable.jordanholder]
    gseries [file, in mathcomp.solvable.gseries]
    gset_mx [def, in mathcomp.group_representation.mxrepresentation]
    gsimp [def, in mathcomp.boot.monoid]
    gsort [abbrev, in mathcomp.finite_group.fingroup]
    gT [abbrev, in mathcomp.finite_group.action]
    gt0 [prf, in mathcomp.algebra.interval_inference]
    gt0_prodn [prf, in mathcomp.boot.bigop]
    gt0_prodn_seq [prf, in mathcomp.boot.bigop]
    gt0CG [prf, in mathcomp.group_representation.classfun]
    gt0CiG [prf, in mathcomp.group_representation.classfun]
    gt0F [prf, in mathcomp.algebra.interval_inference]
    gt1F [prf, in mathcomp.algebra.interval_inference]
    gt_pinfty [prf, in mathcomp.algebra.interval]
    gt_rat0 [prf, in mathcomp.algebra.rat]
    gt_size_poly_neq0 [prf, in mathcomp.algebra.poly]
    gTg [abbrev, in mathcomp.solvable.jordanholder]
    gTn [abbrev, in mathcomp.finite_group.gproduct]
    gtn [def, in mathcomp.boot.ssrnat]
    gtn0 [prf, in mathcomp.algebra.interval_inference]
    gtn_eqF [prf, in mathcomp.boot.ssrnat]
    gtn_half_double [prf, in mathcomp.boot.ssrnat]
    gtn_max [prf, in mathcomp.boot.ssrnat]
    gtn_min [prf, in mathcomp.boot.ssrnat]
    gtn_sorted_uniq_geq [prf, in mathcomp.boot.path]
    gtn_uphalf_double [prf, in mathcomp.boot.ssrnat]
    gtnNdvd [prf, in mathcomp.boot.div]
    GtnNotLeq [constr, in mathcomp.boot.ssrnat]
    gtr0_sgz [prf, in mathcomp.algebra.ssrint]
    gtype [abbrev, in mathcomp.solvable.extraspecial]
    gtz0_abs [prf, in mathcomp.algebra.ssrint]
    gtz0_ge1 [prf, in mathcomp.algebra.ssrint]
    gval [proj, in mathcomp.finite_group.fingroup]
    gX [def, in mathcomp.field.qfpoly]
    gX_all [prf, in mathcomp.field.qfpoly]
    gX_order [prf, in mathcomp.field.qfpoly]
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