Documentation Verification Report

Subsemiring

πŸ“ Source: Mathlib/RingTheory/GradedAlgebra/Homogeneous/Subsemiring.lean

Statistics

MetricCount
DefinitionsHomogeneousSubsemiring, instPartialOrder, setLike, toSubsemiring, Subsemiring, homogeneousCore
6
Theoremsmem_iff, ext, ext', ext_iff, isHomogeneous, is_homogeneous', mem_iff, subsemiringClass, toSubsemiring_injective, subsemiringClosure, subsemiringClosure_of_isHomogeneousElem, homogeneousCore_mono, isHomogeneous_iff_forall_subset, isHomogeneous_iff_subset_iInter, toSubsemiring_homogeneousCore_le
15
Total21

DirectSum.SetLike.IsHomogeneous

Theorems

NameKindAssumesProvesValidatesDepends On
mem_iff πŸ“–mathematicalDirectSum.SetLike.IsHomogeneous
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
GradedRing.toDecomposition
Subsemiring
Subsemiring.instSetLike
Subsemiring
Semiring.toNonAssocSemiring
SetLike.instMembership
Subsemiring.instSetLike
DFunLike.coe
DFinsupp
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
DFinsupp.instDFunLike
Equiv
DirectSum
AddSubmonoidClass.toAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
EquivLike.toFunLike
Equiv.instEquivLike
DirectSum.decompose
GradedRing.toDecomposition
β€”DirectSum.AddSubmonoidClass.IsHomogeneous.mem_iff
SubsemiringClass.toAddSubmonoidClass
Subsemiring.instSubsemiringClass

HomogeneousSubsemiring

Definitions

NameCategoryTheorems
instPartialOrder πŸ“–CompOp
1 mathmath: Subsemiring.homogeneousCore_mono
setLike πŸ“–CompOp
3 mathmath: mem_iff, isHomogeneous, subsemiringClass
toSubsemiring πŸ“–CompOp
5 mathmath: ext_iff, mem_iff, Subsemiring.toSubsemiring_homogeneousCore_le, toSubsemiring_injective, is_homogeneous'

Theorems

NameKindAssumesProvesValidatesDepends On
ext πŸ“–β€”toSubsemiringβ€”β€”toSubsemiring_injective
ext' πŸ“–β€”HomogeneousSubsemiring
SetLike.instMembership
setLike
β€”β€”DirectSum.AddSubmonoidClass.IsHomogeneous.ext
SubsemiringClass.toAddSubmonoidClass
subsemiringClass
is_homogeneous'
ext_iff πŸ“–mathematicalβ€”toSubsemiringβ€”ext
isHomogeneous πŸ“–mathematicalβ€”DirectSum.SetLike.IsHomogeneous
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
GradedRing.toDecomposition
HomogeneousSubsemiring
setLike
β€”is_homogeneous'
is_homogeneous' πŸ“–mathematicalβ€”DirectSum.SetLike.IsHomogeneous
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
GradedRing.toDecomposition
Subsemiring
Subsemiring.instSetLike
toSubsemiring
β€”β€”
mem_iff πŸ“–mathematicalβ€”Subsemiring
Semiring.toNonAssocSemiring
SetLike.instMembership
Subsemiring.instSetLike
toSubsemiring
HomogeneousSubsemiring
setLike
β€”β€”
subsemiringClass πŸ“–mathematicalβ€”SubsemiringClass
HomogeneousSubsemiring
Semiring.toNonAssocSemiring
setLike
β€”Subsemiring.mul_mem
Subsemiring.one_mem
Subsemiring.add_mem
Subsemiring.zero_mem
toSubsemiring_injective πŸ“–mathematicalβ€”HomogeneousSubsemiring
Subsemiring
Semiring.toNonAssocSemiring
toSubsemiring
β€”β€”

IsHomogeneous

Theorems

NameKindAssumesProvesValidatesDepends On
subsemiringClosure πŸ“–mathematicalSet
Set.instMembership
SetLike.instMembership
DFunLike.coe
DFinsupp
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
DFinsupp.instDFunLike
Equiv
DirectSum
AddSubmonoidClass.toAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
EquivLike.toFunLike
Equiv.instEquivLike
DirectSum.decompose
GradedRing.toDecomposition
DirectSum.SetLike.IsHomogeneous
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
GradedRing.toDecomposition
Subsemiring
Subsemiring.instSetLike
Subsemiring.closure
β€”Subsemiring.closure_induction
Subsemiring.subset_closure
DirectSum.decompose_zero
AddSubmonoidClass.toZeroMemClass
SubsemiringClass.toAddSubmonoidClass
Subsemiring.instSubsemiringClass
SetLike.GradedMonoid.toGradedOne
GradedRing.toGradedMonoid
DirectSum.decompose_one
DirectSum.one_def
eq_or_ne
DirectSum.of_eq_same
AddSubmonoidWithOneClass.toOneMemClass
SubsemiringClass.addSubmonoidWithOneClass
DirectSum.of_eq_of_ne
DirectSum.decompose_add
AddMemClass.add_mem
AddSubmonoidClass.toAddMemClass
SetLike.GradedMonoid.toGradedMul
DirectSum.decompose_mul
DirectSum.mul_eq_dfinsuppSum
DFinsupp.sum_apply
DFinsupp.sum.eq_1
AddSubmonoidClass.coe_finset_sum
sum_mem
SubmonoidClass.toMulMemClass
SubsemiringClass.toSubmonoidClass
subsemiringClosure_of_isHomogeneousElem πŸ“–mathematicalSetLike.IsHomogeneousElemDirectSum.SetLike.IsHomogeneous
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
GradedRing.toDecomposition
Subsemiring
Subsemiring.instSetLike
Subsemiring.closure
β€”Subsemiring.closure_insert_zero
subsemiringClosure
Set.mem_insert_iff
DirectSum.decompose_zero
eq_or_ne
DirectSum.decompose_of_mem
DirectSum.of_eq_same
DirectSum.of_eq_of_ne

Subsemiring

Definitions

NameCategoryTheorems
homogeneousCore πŸ“–CompOp
2 mathmath: homogeneousCore_mono, toSubsemiring_homogeneousCore_le

Theorems

NameKindAssumesProvesValidatesDepends On
homogeneousCore_mono πŸ“–mathematicalβ€”Monotone
Subsemiring
Semiring.toNonAssocSemiring
HomogeneousSubsemiring
PartialOrder.toPreorder
instPartialOrder
HomogeneousSubsemiring.instPartialOrder
homogeneousCore
β€”closure_mono
Set.image_mono
isHomogeneous_iff_forall_subset πŸ“–mathematicalβ€”DirectSum.SetLike.IsHomogeneous
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
GradedRing.toDecomposition
Subsemiring
instSetLike
Set
Set.instHasSubset
SetLike.coe
Set.preimage
DFunLike.coe
AddMonoidHom
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
AddMonoidHom.instFunLike
GradedRing.proj
β€”β€”
isHomogeneous_iff_subset_iInter πŸ“–mathematicalβ€”DirectSum.SetLike.IsHomogeneous
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
GradedRing.toDecomposition
Subsemiring
instSetLike
Set
Set.instHasSubset
SetLike.coe
Set.iInter
Set.preimage
DFunLike.coe
AddMonoidHom
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
AddMonoidHom.instFunLike
GradedRing.proj
β€”Set.subset_iInter_iff
toSubsemiring_homogeneousCore_le πŸ“–mathematicalβ€”Subsemiring
Semiring.toNonAssocSemiring
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
HomogeneousSubsemiring.toSubsemiring
homogeneousCore
β€”closure_le
Set.image_preimage_subset

(root)

Definitions

NameCategoryTheorems
HomogeneousSubsemiring πŸ“–CompData
5 mathmath: Subsemiring.homogeneousCore_mono, HomogeneousSubsemiring.mem_iff, HomogeneousSubsemiring.isHomogeneous, HomogeneousSubsemiring.toSubsemiring_injective, HomogeneousSubsemiring.subsemiringClass
Subsemiring πŸ“–CompData
351 mathmath: RingCone.coe_set_mk, Subsemiring.mem_sumSq, Subring.range_snd, Subsemiring.mem_toNonUnitalSubsemiring, Subsemiring.mem_sSup_of_directedOn, Subsemiring.mem_top, Subsemiring.coe_subtype, Subsemiring.comap_iInf, Polynomial.mem_lifts_iff_mem_alg, Subsemiring.closure_le, Subsemiring.centralizer_le, Subsemiring.eq_top_iff', Subsemiring.isClosed_topologicalClosure, RingPreordering.mem_mk, Subsemiring.coe_pow, Subsemiring.mem_carrier, Subsemiring.closure_mono, Subsemiring.op_injective, Polynomial.IsPrimitive.map_mul_mem_lifts_iff, IsGaloisGroup.algebraMap_ringEquivFixedPoints_symm_apply, Subring.toSubsemiring_injective, Subsemiring.mem_iInf, Polynomial.monomial_mem_lifts, CentroidHom.star_centerToCentroidCenter, Subsemiring.mem_closure, Polynomial.X_mem_lifts, RingHom.rangeS_eq_top, Subsemiring.toIsOrderedRing, Subsemiring.map_sup, Subsemiring.topologicalClosure_mono, Subsemiring.mem_smul_pointwise_iff_exists, Subsemiring.op_eq_bot, StarSubsemiring.mem_toSubsemiring, RingPreordering.toSubsemiring_strictMono, Subsemiring.gc_map_comap, Subsemiring.smul_mem_pointwise_smul_iff, Subsemiring.op_eq_top, Algebra.toSubsemiring_eq_top, Subring.coe_toSubsemiring, Subsemiring.center_eq_top, RingPreordering.toSubsemiring_lt_toSubsemiring, Subsemiring.op_sup, Subsemiring.mem_bot, Subsemiring.nontrivial, Subsemiring.op_le_op_iff, IsGaloisGroup.ringEquivFixedPoints_apply_coe, Subsemiring.homogeneousCore_mono, Subsemiring.le_op_iff, Subsemiring.map_iInf, Subsemiring.semitopologicalSemiring, Submonoid.subsemiringClosure_coe, Subsemiring.map_bot, RingHom.rangeSRestrict_surjective, Subsemiring.centerCongr_symm_apply_coe, IsScalarTower.subsemiring, mem_subalgebraOfSubsemiring, Polynomial.Splits.mem_lift_of_roots_mem_range, Subsemiring.coe_prod, RingEquiv.ofLeftInverseS_symm_apply, Subsemiring.op_sInf, Subsemiring.addEquivOp_apply_coe, Subring.toSubsemiring_mono, RingHom.rangeS_toSubmonoid, Subsemiring.isScalarTower, Subsemiring.smul_mem_pointwise_smul, Subring.toSubsemiring_lt_toSubsemiring, Subring.mopRingEquivOp_apply_coe, Subsemiring.pointwise_smul_toAddSubmonoid, Subsemiring.prod_top, RingCon.comapQuotientEquivRangeS_symm_mk, RingHom.coe_rangeSRestrict, Subsemiring.mem_iSup_of_directed, Subsemiring.smul_def, Subsemiring.coe_iSup_of_directed, Subsemiring.smul_bot, Subsemiring.coe_equivMapOfInjective_apply, Subalgebra.mopAlgEquivOp_symm_apply, Subsemiring.unop_le_unop_iff, Algebra.sInf_toSubsemiring, Subsemiring.coe_sInf, Subsemiring.toIsStrictOrderedRing, Subsemiring.coe_add, Subsemiring.coe_one, isArtinianRing_rangeS, Subring.mem_toSubsemiring, StarSubsemiring.toSubsemiring_le_iff, Polynomial.C_mem_lifts, Subsemiring.mem_inf, Subsemiring.unop_eq_top, RingCone.mem_mk, Subsemiring.prod_mono_right, Subsemiring.op_iSup, Subsemiring.mem_mk', Subsemiring.opEquiv_apply, RingPreordering.toSubsemiring_mono, Subsemiring.unop_sup, Subsemiring.coe_toSubmonoid, Subsemiring.subset_closure, Subring.toSubsemiring_le_toSubsemiring, StarSubsemiring.toSubsemiring_injective, Subsemiring.centerCongr_apply_coe, Algebra.sup_toSubsemiring, Subsemiring.toSubmonoid_mono, Subsemiring.one_mem, StarSubsemiring.coe_toSubsemiring, Subsemiring.closure_le_centralizer_centralizer, Subring.toSubsemiring_top, Polynomial.mem_lifts, Subsemiring.op_le_iff, Subsemiring.unop_sInf, Subsemiring.noZeroDivisors, Subsemiring.pointwise_central_scalar, Subalgebra.linearEquivOp_apply_coe, Subsemiring.mem_map_equiv, Polynomial.lifts_iff_ringHom_rangeS, Subsemiring.closure_singleton_one, Subring.topEquiv_apply, RingEquiv.subsemiringMap_apply_coe, Subsemiring.mem_op, Subring.coe_set_mk, Subsemiring.top_prod_top, Algebra.iSup_toSubsemiring, HomogeneousSubsemiring.mem_iff, Subring.mopRingEquivOp_symm_apply, Subsemiring.sInf_toAddSubmonoid, Subsemiring.comap_top, Subsemiring.centerToMulOpposite_symm_apply_coe, RingPreordering.toSubsemiring_le_toSubsemiring, IsHomogeneous.subsemiringClosure, Subsemiring.addEquivOp_symm_apply_coe, Polynomial.IsPrimitive.mul_map_mem_lifts_iff, Subsemiring.coe_carrier_toSubmonoid, Subsemiring.closure_singleton_natCast, Polynomial.C'_mem_lifts, Subsemiring.smul_mem_pointwise_smul_iffβ‚€, Subsemiring.map_comap_eq, Polynomial.smul_mem_lifts, Subsemiring.mem_centralizer_iff, Subsemiring.centerToMulOpposite_apply_coe, Subsemiring.isHomogeneous_iff_subset_iInter, Subsemiring.pointwise_smul_subset_iff, RingPreordering.coe_toSubsemiring, Subsemiring.coe_copy, IsLocalRing.of_subring', Algebra.sSup_toSubsemiring, RingEquiv.subsemiringMap_symm_apply_coe, RingCon.comapQuotientEquivRangeS_mk, Subsemiring.toSubmonoid_strictMono, Subring.topEquiv_symm_apply_coe, Subsemiring.closure_iUnion, Subsemiring.ext_iff, Subsemiring.nsmul_mem, Subsemiring.center.smulCommClass_right, RingCon.coe_quotientKerEquivRangeS_mk, Subsemiring.rangeS_subtype, Subsemiring.comap_toSubmonoid, RingHom.rangeS_eq_map, Subsemiring.coe_sumSq, Subsemiring.range_fst, Subsemiring.mem_inv_pointwise_smul_iffβ‚€, RingHom.mem_rangeS, RingHom.rangeS_top_iff_surjective, Subsemiring.closure_sUnion, Subsemiring.opEquiv_symm_apply, Algebra.iInf_toSubsemiring, Subalgebra.mem_mk, Subsemiring.closure_eq, Subsemiring.mem_comap, Subsemiring.map_inf, Algebra.top_toSubsemiring, Subsemiring.unop_injective, StarSubsemiring.coe_mk, Subring.toSubsemiring_strictMono, Subsemiring.pointwise_smul_def, Subsemiring.inclusion_injective, RingHom.sclosure_preimage_le, Subalgebra.coe_toSubsemiring, StarSubalgebra.rangeS_le, CharP.subsemiring, Subsemiring.mopRingEquivOp_apply_coe, Subsemiring.op_inf, IsLocalization.scaleRoots_commonDenom_mem_lifts, Subsemiring.zero_mem, Subsemiring.instSMulCommClassSubtypeMemCenter_1, RingHom.rangeS_top_of_surjective, Subsemiring.pointwise_smul_le_pointwise_smul_iff, Subsemiring.comap_inf, Subsemiring.coe_inf, Subsemiring.instSubsemiringClass, Subsemiring.coe_toNonUnitalSubsemiring, Subsemiring.isHomogeneous_iff_forall_subset, Subsemiring.coe_top, Subsemiring.unop_inf, Subalgebra.coe_valA, Subsemiring.unop_top, RingHom.mem_rangeS_self, Subsemiring.range_snd, IsLocalRing.of_subring, Subalgebra.toSubsemiring_injective, Subsemiring.smulCommClass_left, Subsemiring.toSubsemiring_homogeneousCore_le, Subalgebra.algEquivOpMop_apply, Polynomial.lifts_iff_coeff_lifts, Subsemiring.mem_toSubmonoid, Subsemiring.instCovariantClassHSMulLe, Subsemiring.map_iSup, Subsemiring.coe_centralizer, Subsemiring.toNonUnitalSubsemiring_injective, Subsemiring.topologicalClosure_minimal, Subsemiring.prod_mem, Subring.mk_le_mk, Subsemiring.op_sSup, Subsemiring.coe_pointwise_smul, Subring.ringEquivOpMop_symm_apply_coe, Subalgebra.mem_toSubsemiring, Subsemiring.mul_mem, Subsemiring.mem_closure_iff_exists_list, Subsemiring.mem_toAddSubmonoid, Subsemiring.map_toSubmonoid, isNoetherianRing_rangeS, RingPreordering.mem_toSubsemiring, Subsemiring.topologicalSemiring, Subsemiring.list_prod_mem, Algebra.algebraMap_ofSubsemiring, Subsemiring.ringEquivOpMop_symm_apply_coe, DirectSum.SetLike.IsHomogeneous.mem_iff, Subsemiring.instSMulCommClassSubtypeMemCenter, Polynomial.X_pow_mem_lifts, HomogeneousSubsemiring.toSubsemiring_injective, Subsemiring.coe_closure_eq, Subsemiring.topologicalClosure_coe, Subsemiring.mem_pointwise_smul_iff_inv_smul_mem, Subsemiring.closure_empty, Subsemiring.mem_map, NonUnitalNonAssocSemiring.mem_center_iff, Subsemiring.toAddSubmonoid_mono, HomogeneousSubsemiring.is_homogeneous', Subsemiring.coe_ofClass, Subsemiring.closure_univ, Subsemiring.coe_sSup_of_directedOn, Subsemiring.closure_union, Subsemiring.coe_matrix, Subsemiring.prod_mono_left, Subsemiring.subset_pointwise_smul_iff, Subsemiring.toAddSubmonoid_injective, Polynomial.lifts_iff_liftsRing, Subsemiring.mem_mk, Subsemiring.prod_bot_sup_bot_prod, Subsemiring.topEquiv_symm_apply_coe, Subsemiring.coe_op, Subsemiring.coe_zero, Polynomial.notMem_map_rangeS, Subsemiring.unop_bot, Subsemiring.list_sum_mem, Subsemiring.coe_set_mk, Subsemiring.centralizer_eq_top_iff_subset, CentroidHom.centerToCentroidCenter_apply, Subsemiring.pow_mem, Subsemiring.coe_mk', Subalgebra.linearEquivOp_symm_apply_coe, RingCon.rangeS_mk', Subsemiring.le_topologicalClosure, Subsemiring.smul_sup, Subring.mem_mk, IntermediateField.mem_mk, Subring.range_fst, Subsemiring.map_le_iff_le_comap, Subsemiring.ringEquivOpMop_apply, Subsemiring.subtype_apply, Subsemiring.toAddSubmonoid_strictMono, Subsemiring.isMulCommutative_closure, Subsemiring.pointwise_smul_le_pointwise_smul_iffβ‚€, RingEquiv.ofLeftInverseS_apply, Subsemiring.instIsMulCommutative_closure, Subsemiring.top_prod, Subalgebra.pointwise_smul_toSubsemiring, Submonoid.subsemiringClosure_mem, Subsemiring.op_top, Subsemiring.unop_iInf, Subsemiring.continuousSMul, Subsemiring.subtype_injective, Subsemiring.unop_sSup, Subsemiring.unop_eq_bot, Subsemiring.sInf_toSubmonoid, Subsemiring.coe_toAddSubmonoid, Polynomial.lifts_iff_set_range, Subsemiring.multiset_prod_mem, Subalgebra.mem_perfectClosure_iff, Polynomial.erase_mem_lifts, Subsemiring.smulCommClass_right, Subsemiring.smul_closure, Subsemiring.le_centralizer_centralizer, Subsemiring.pointwise_smul_le_iffβ‚€, Subsemiring.closure_singleton_zero, Polynomial.base_mul_mem_lifts, Subsemiring.mopRingEquivOp_symm_apply, Subsemiring.coe_iInf, Subsemiring.coe_center, Algebra.IsInvariant.charpoly_mem_lifts, Subsemiring.topEquiv_apply, Subsemiring.multiset_sum_mem, Subsemiring.coe_map, Subsemiring.toSubmonoid_injective, Module.End.mem_subsemiringCenter_iff, Subsemiring.mem_closure_of_mem, Subsemiring.instCanLiftSetCoeAndMemOfNatForallForallForallForallHAddForallForallForallForallHMul, RingHom.mem_eqLocusS, Subsemiring.coe_mul, Subsemiring.mem_center_iff, Subalgebra.mopAlgEquivOp_apply_coe, Subalgebra.coe_mk, Subsemiring.faithfulSMul, RingHom.eqOn_sclosure, Subalgebra.algEquivOpMop_symm_apply_coe, Subalgebra.rangeS_le, Subring.ringEquivOpMop_apply, Subring.toSubsemiring_eq_top, Subsemiring.mem_pointwise_smul_iff_inv_smul_memβ‚€, Subring.pointwise_smul_toSubsemiring, Subsemiring.unop_iSup, Algebra.inf_toSubsemiring, Subsemiring.mem_prod, Subsemiring.mem_nonneg, Subsemiring.mem_unop, IsHomogeneous.subsemiringClosure_of_isHomogeneousElem, Polynomial.mem_lift_of_splits_of_roots_mem_range, integralClosure.mem_lifts_of_monic_of_dvd_map, Subsemiring.isLocalRing_of_unit, Polynomial.lifts_iff_coeffs_subset_range, Subsemiring.mem_closure_iff, Polynomial.mem_map_rangeS, Subsemiring.add_mem, Subalgebra.coe_valA', Subsemiring.mem_inv_pointwise_smul_iff, Subsemiring.coe_nonneg, RingHom.coe_rangeS, Subsemiring.coe_unop, Subsemiring.op_iInf, Subsemiring.mem_sInf, RingHom.eqLocusS_same, Subsemiring.sum_mem, RingPreordering.toSubsemiring_injective, Subsemiring.coe_comap, Subsemiring.le_pointwise_smul_iffβ‚€, RingHom.ker_rangeSRestrict, Subsemiring.coe_bot, Subsemiring.prod_mono, Subsemiring.op_bot, RingPreordering.coe_set_mk, Subsemiring.center_le_centralizer, Subsemiring.center.smulCommClass_left

---

← Back to Index