Documentation Verification Report

NonUnitalSubalgebra

📁 Source: Mathlib/Algebra/Star/NonUnitalSubalgebra.lean

Statistics

MetricCount
DefinitionscodRestrict, equalizer, range, rangeRestrict, adjoin, adjoinNonUnitalCommRingOfComm, adjoinNonUnitalCommSemiringOfComm, gi, instCompleteLatticeNonUnitalStarSubalgebra, instInhabitedNonUnitalStarSubalgebra, toTop, NonUnitalStarSubalgebra, center, centralizer, comap, copy, iSupLift, inclusion, instInhabited, instModule, instNonUnitalCommRing, instNonUnitalCommSemiring, instPartialOrder, instSetLike, map, module', ofClass, prod, toNonUnitalCommRing, toNonUnitalCommSemiring, toNonUnitalRing, toNonUnitalSemiring, toNonUnitalSubalgebra, toNonUnitalSubalgebra', toNonUnitalSubring, subtype, NonUnitalSubalgebra, instInvolutiveStar, starClosure, toNonUnitalStarSubalgebra, ofInjective', ofLeftInverse', instInvolutiveStar, instStarAddMonoid, instStarMul, instStarRing
46
Theoremscoe_codRestrict, coe_range, injective_codRestrict, map_adjoin, map_adjoin_singleton, mem_equalizer, mem_range, mem_range_self, range_comp, range_comp_le_range, subsingleton, subtype_comp_codRestrict, adjoin_eq, adjoin_eq_span, adjoin_eq_starClosure_adjoin, adjoin_induction, adjoin_le, adjoin_le_centralizer_centralizer, adjoin_le_iff, adjoin_mono, adjoin_toNonUnitalSubalgebra, coe_bot, coe_iInf, coe_inf, coe_sInf, coe_top, comap_top, commute_of_mem_adjoin_of_forall_mem_commute, commute_of_mem_adjoin_self, commute_of_mem_adjoin_singleton_of_commute, eq_top_iff, gc, iInf_toNonUnitalSubalgebra, inf_toNonUnitalSubalgebra, map_bot, map_iInf, map_inf, map_sup, map_top, mem_adjoin_of_mem, mem_bot, mem_iInf, mem_inf, mem_sInf, mem_sup_left, mem_sup_right, mem_top, mul_mem_sup, range_eq_top, range_id, sInf_toNonUnitalSubalgebra, self_mem_adjoin_singleton, span_eq_toSubmodule, star_self_mem_adjoin_singleton, star_subset_adjoin, subset_adjoin, toNonUnitalSubalgebra_bot, toNonUnitalSubalgebra_eq_top, top_toNonUnitalSubalgebra, center_eq_top, center_toNonUnitalSubalgebra, centralizer_le, centralizer_toNonUnitalSubalgebra, centralizer_univ, coe_add, coe_center, coe_centralizer, coe_centralizer_centralizer, coe_comap, coe_copy, coe_eq_zero, coe_iSup_of_directed, coe_map, coe_mul, coe_neg, coe_prod, coe_smul, coe_sub, coe_toNonUnitalSubalgebra, coe_toNonUnitalSubring, coe_zero, copy_eq, ext, ext_iff, gc_map_comap, iSupLift_comp_inclusion, iSupLift_inclusion, iSupLift_mk, iSupLift_of_mem, inclusion_inclusion, inclusion_injective, inclusion_mk, inclusion_right, inclusion_self, instCanLiftSetCoeAndMemOfNatForallForallForallForallHAddForallForallForallForallHMulForallForallForallHSMulForallForallStar, instIsScalarTower, instIsScalarTower', instIsTorsionFree, instNoZeroDivisors, instNonUnitalSubringClass, instNonUnitalSubsemiringClass, instSMulCommClass, instSMulCommClass', instSMulMemClass, instStarMemClass, map_id, map_injective, map_le, map_map, map_mono, map_toNonUnitalSubalgebra, mem_carrier, mem_center_iff, mem_centralizer_iff, mem_comap, mem_map, mem_prod, mem_toNonUnitalSubalgebra, mem_toNonUnitalSubring, ofClass_carrier, prod_inf_prod, prod_mono, prod_toNonUnitalSubalgebra, prod_top, range_val, star_mem', subsingleton_of_subsingleton, toNonUnitalSubalgebra_inj, toNonUnitalSubalgebra_injective, toNonUnitalSubalgebra_le_iff, toNonUnitalSubalgebra_subtype, toNonUnitalSubalgebra_toNonUnitalStarSubalgebra, toNonUnitalSubring_inj, toNonUnitalSubring_injective, toSubring_subtype, val_inclusion, coe_subtype, subtype_apply, subtype_injective, coe_star, coe_starClosure, coe_toNonUnitalStarSubalgebra, mem_starClosure, mem_star_iff, mem_toNonUnitalStarSubalgebra, starClosure_eq_adjoin, starClosure_le, starClosure_le_iff, starClosure_mono, starClosure_toNonUnitalSubalgebra, star_adjoin_comm, star_mem_star_iff, star_mono, toNonUnitalStarSubalgebra_toNonUnitalSubalgebra, ofInjective'_apply, ofLeftInverse'_apply, ofLeftInverse'_symm_apply, instStarModule
158
Total204

NonUnitalStarAlgHom

Definitions

NameCategoryTheorems
codRestrict 📖CompOp
3 mathmath: coe_codRestrict, injective_codRestrict, subtype_comp_codRestrict
equalizer 📖CompOp
1 mathmath: mem_equalizer
range 📖CompOp
19 mathmath: StarAlgEquiv.ofLeftInverse'_apply, range_comp_le_range, range_cfcₙHom, Unitization.starLift_range, NonUnitalStarSubalgebra.range_val, NonUnitalStarAlgebra.range_eq_top, range_cfcₙ_eq_range_cfcₙHom, mem_range_self, cfcₙAux_mem_range_inr, mem_range, Unitization.inrRangeEquiv_apply_coe, NonUnitalStarAlgebra.range_id, NonUnitalStarAlgebra.map_top, StarAlgEquiv.ofInjective'_apply, Unitization.starLift_range_le, StarAlgEquiv.ofLeftInverse'_symm_apply, Unitization.inrRangeEquiv_symm_apply, coe_range, range_comp
rangeRestrict 📖CompOp

Theorems

NameKindAssumesProvesValidatesDepends On
coe_codRestrict 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
DFunLike.coe
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
NonUnitalStarSubalgebra.instModule
StarMemClass.instStar
NonUnitalStarSubalgebra.instStarMemClass
instFunLike
codRestrict
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
NonUnitalStarSubalgebra.instStarMemClass
coe_range 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalStarSubalgebra.instSetLike
range
Set.range
DFunLike.coe
injective_codRestrict 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
DFunLike.coe
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
NonUnitalStarSubalgebra.instModule
StarMemClass.instStar
NonUnitalStarSubalgebra.instStarMemClass
instFunLike
codRestrict
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
NonUnitalStarSubalgebra.instStarMemClass
map_adjoin 📖mathematicalNonUnitalStarSubalgebra.map
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarAlgebra.adjoin
Set.image
DFunLike.coe
GaloisConnection.l_comm_of_u_comm
Set.image_preimage
NonUnitalStarSubalgebra.gc_map_comap
GaloisInsertion.gc
map_adjoin_singleton 📖mathematicalNonUnitalStarSubalgebra.map
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarAlgebra.adjoin
Set
Set.instSingletonSet
DFunLike.coe
map_adjoin
NonUnitalStarAlgebra.adjoin.congr_simp
Set.image_singleton
mem_equalizer 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
equalizer
DFunLike.coe
mem_range 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
range
DFunLike.coe
NonUnitalRingHom.mem_srange
NonUnitalRingHom.instNonUnitalRingHomClass
mem_range_self 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
range
DFunLike.coe
NonUnitalAlgHom.mem_range
range_comp 📖mathematicalrange
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
instFunLike
instNonUnitalAlgHomClass
instStarHomClass
comp
NonUnitalStarSubalgebra.map
SetLike.coe_injective
instNonUnitalAlgHomClass
instStarHomClass
Set.range_comp
range_comp_le_range 📖mathematicalNonUnitalStarSubalgebra
Preorder.toLE
PartialOrder.toPreorder
NonUnitalStarSubalgebra.instPartialOrder
range
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
instFunLike
instNonUnitalAlgHomClass
instStarHomClass
comp
SetLike.coe_mono
instIsConcreteLE
instNonUnitalAlgHomClass
instStarHomClass
Set.range_comp_subset_range
subsingleton 📖mathematicalNonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSemiring.toNonUnitalNonAssocSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
StarRing.toStarAddMonoid
ext
NonUnitalStarAlgebra.mem_top
map_zero
AddMonoidHomClass.toZeroHomClass
DistribMulActionSemiHomClass.toAddMonoidHomClass
NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass
instNonUnitalAlgHomClass
NonUnitalStarAlgebra.mem_bot
subtype_comp_codRestrict 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
DFunLike.coe
comp
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
SubmoduleClass.module
NonUnitalSubsemiringClass.toAddSubmonoidClass
NonUnitalStarSubalgebra.instSMulMemClass
StarMemClass.instStar
NonUnitalStarSubalgebra.instStarMemClass
NonUnitalStarSubalgebraClass.subtype
codRestrict
NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom
ext
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
NonUnitalStarSubalgebra.instSMulMemClass
NonUnitalStarSubalgebra.instStarMemClass

NonUnitalStarAlgebra

Definitions

NameCategoryTheorems
adjoin 📖CompOp
26 mathmath: NonUnitalStarSubalgebra.topologicalClosure_adjoin_le_centralizer_centralizer, StarAlgebra.adjoin_nonUnitalStarSubalgebra, adjoin_toNonUnitalSubalgebra, adjoin_eq_starClosure_adjoin, adjoin_le, adjoin_mono, adjoin_eq_span, gc, subset_adjoin, ContinuousMap.adjoin_id_eq_span_one_union, NonUnitalSubalgebra.starClosure_eq_adjoin, star_subset_adjoin, NonUnitalStarAlgHom.map_adjoin_singleton, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, mem_adjoin_of_mem, ContinuousMap.adjoin_id_eq_span_one_add, adjoin_le_iff, adjoin_eq, NonUnitalStarAlgHom.map_adjoin, star_self_mem_adjoin_singleton, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, self_mem_adjoin_singleton, ContinuousMapZero.adjoin_id_dense, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, adjoin_le_starAlgebra_adjoin, adjoin_le_centralizer_centralizer
adjoinNonUnitalCommRingOfComm 📖CompOp
adjoinNonUnitalCommSemiringOfComm 📖CompOp
gi 📖CompOp
instCompleteLatticeNonUnitalStarSubalgebra 📖CompOp
33 mathmath: mem_bot, mem_sup_right, coe_bot, mem_top, mem_sInf, iInf_toNonUnitalSubalgebra, coe_top, coe_sInf, mem_iInf, top_toNonUnitalSubalgebra, range_eq_top, toNonUnitalSubalgebra_eq_top, mul_mem_sup, mem_sup_left, NonUnitalStarSubalgebra.prod_inf_prod, comap_top, coe_iInf, map_bot, NonUnitalStarSubalgebra.coe_iSup_of_directed, coe_inf, map_sup, range_id, map_top, NonUnitalStarSubalgebra.center_eq_top, eq_top_iff, map_inf, NonUnitalStarSubalgebra.prod_top, ContinuousMapZero.elemental_eq_top, sInf_toNonUnitalSubalgebra, toNonUnitalSubalgebra_bot, mem_inf, map_iInf, inf_toNonUnitalSubalgebra
instInhabitedNonUnitalStarSubalgebra 📖CompOp
toTop 📖CompOp

Theorems

NameKindAssumesProvesValidatesDepends On
adjoin_eq 📖mathematicaladjoin
SetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
le_antisymm
adjoin_le
le_rfl
subset_adjoin
adjoin_eq_span 📖mathematicalNonUnitalSubalgebra.toSubmodule
NonUnitalSemiring.toNonUnitalNonAssocSemiring
NonUnitalStarSubalgebra.toNonUnitalSubalgebra
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
adjoin
Submodule.span
CommSemiring.toSemiring
SetLike.coe
Subsemigroup
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Subsemigroup.instSetLike
Subsemigroup.closure
Set
Set.instUnion
Star.star
Set.star
adjoin_toNonUnitalSubalgebra
NonUnitalAlgebra.adjoin_eq_span
adjoin_eq_starClosure_adjoin 📖mathematicaladjoin
NonUnitalSubalgebra.starClosure
NonUnitalAlgebra.adjoin
NonUnitalSemiring.toNonUnitalNonAssocSemiring
NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injective
NonUnitalAlgebra.adjoin_union
NonUnitalSubalgebra.star_adjoin_comm
adjoin_induction 📖subset_adjoin
Distrib.toAdd
NonUnitalNonAssocSemiring.toDistrib
NonUnitalSemiring.toNonUnitalNonAssocSemiring
AddMemClass.add_mem
NonUnitalStarSubalgebra
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
AddSubmonoidClass.toAddMemClass
AddMonoid.toAddZeroClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
adjoin
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
ZeroMemClass.zero_mem
AddSubmonoidClass.toZeroMemClass
Distrib.toMul
MulMemClass.mul_mem
NonUnitalSubsemiringClass.mulMemClass
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
SMulMemClass.smul_mem
NonUnitalStarSubalgebra.instSMulMemClass
Star.star
StarMemClass.star_mem
NonUnitalStarSubalgebra.instStarMemClass
SetLike.instMembership
subset_adjoin
AddMemClass.add_mem
AddSubmonoidClass.toAddMemClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
ZeroMemClass.zero_mem
AddSubmonoidClass.toZeroMemClass
MulMemClass.mul_mem
NonUnitalSubsemiringClass.mulMemClass
SMulMemClass.smul_mem
NonUnitalStarSubalgebra.instSMulMemClass
StarMemClass.star_mem
NonUnitalStarSubalgebra.instStarMemClass
NonUnitalAlgebra.adjoin_induction
NonUnitalAlgebra.subset_adjoin
star_star
adjoin_le 📖mathematicalSet
Set.instHasSubset
SetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
Preorder.toLE
PartialOrder.toPreorder
NonUnitalStarSubalgebra.instPartialOrder
adjoin
GaloisConnection.l_le
gc
adjoin_le_centralizer_centralizer 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
NonUnitalStarSubalgebra.instPartialOrder
adjoin
NonUnitalStarSubalgebra.centralizer
SetLike.coe
NonUnitalStarSubalgebra.instSetLike
NonUnitalStarSubalgebra.toNonUnitalSubalgebra_le_iff
NonUnitalStarSubalgebra.centralizer_toNonUnitalSubalgebra
adjoin_toNonUnitalSubalgebra
StarMemClass.star_coe_eq
NonUnitalStarSubalgebra.instStarMemClass
Set.union_self
NonUnitalAlgebra.adjoin_le_centralizer_centralizer
adjoin_le_iff 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
NonUnitalStarSubalgebra.instPartialOrder
adjoin
Set
Set.instHasSubset
SetLike.coe
NonUnitalStarSubalgebra.instSetLike
gc
adjoin_mono 📖mathematicalSet
Set.instHasSubset
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
NonUnitalStarSubalgebra.instPartialOrder
adjoin
GaloisConnection.monotone_l
gc
adjoin_toNonUnitalSubalgebra 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
adjoin
NonUnitalAlgebra.adjoin
Set
Set.instUnion
Star.star
Set.star
coe_bot 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
Bot.bot
OrderBot.toBot
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderBot
CompleteLattice.toBoundedOrder
Set
Set.instSingletonSet
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
Zero.instNonempty
coe_iInf 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
iInf
ConditionallyCompletePartialOrderInf.toInfSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
Set.iInter
coe_sInf
Set.iInter_congr_Prop
Set.iInter_exists
Set.iInter_iInter_eq'
coe_inf 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
SemilatticeInf.toMin
Lattice.toSemilatticeInf
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
Set
Set.instInter
coe_sInf 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
InfSet.sInf
ConditionallyCompletePartialOrderInf.toInfSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
Set.iInter
Set
Set.instMembership
sInf_image
coe_top 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
Top.top
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
Set.univ
comap_top 📖mathematicalNonUnitalStarSubalgebra.comap
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Top.top
NonUnitalStarSubalgebra
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
eq_top_iff
mem_top
commute_of_mem_adjoin_of_forall_mem_commute 📖NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
adjoin
Commute
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Star.star
NonUnitalAlgebra.commute_of_mem_adjoin_of_forall_mem_commute
star_star
commute_of_mem_adjoin_self 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
adjoin
Set
Set.instSingletonSet
Commute
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
commute_of_mem_adjoin_singleton_of_commute
Commute.symm
isStarNormal_iff
commute_of_mem_adjoin_singleton_of_commute 📖NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
adjoin
Set
Set.instSingletonSet
Commute
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Star.star
commute_of_mem_adjoin_of_forall_mem_commute
eq_top_iff 📖mathematicalTop.top
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
mem_top
NonUnitalStarSubalgebra.ext
gc 📖mathematicalGaloisConnection
Set
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
PartialOrder.toPreorder
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
NonUnitalStarSubalgebra.instPartialOrder
adjoin
SetLike.coe
NonUnitalStarSubalgebra.instSetLike
NonUnitalStarSubalgebra.toNonUnitalSubalgebra_le_iff
adjoin_toNonUnitalSubalgebra
NonUnitalAlgebra.adjoin_le_iff
NonUnitalStarSubalgebra.coe_toNonUnitalSubalgebra
HasSubset.Subset.trans
Set.instIsTransSubset
Set.subset_union_left
Set.union_subset
StarMemClass.star_mem
NonUnitalStarSubalgebra.instStarMemClass
star_star
iInf_toNonUnitalSubalgebra 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
iInf
NonUnitalStarSubalgebra
ConditionallyCompletePartialOrderInf.toInfSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
NonUnitalSubalgebra
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
SetLike.coe_injective
coe_iInf
NonUnitalAlgebra.coe_iInf
inf_toNonUnitalSubalgebra 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra
SemilatticeInf.toMin
Lattice.toSemilatticeInf
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
NonUnitalSubalgebra
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
SetLike.coe_injective
coe_inf
map_bot 📖mathematicalNonUnitalStarSubalgebra.map
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Bot.bot
NonUnitalStarSubalgebra
OrderBot.toBot
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderBot
CompleteLattice.toBoundedOrder
SetLike.coe_injective
coe_bot
Set.image_singleton
map_zero
AddMonoidHomClass.toZeroHomClass
DistribMulActionSemiHomClass.toAddMonoidHomClass
NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass
map_iInf 📖mathematicalDFunLike.coeNonUnitalStarSubalgebra.map
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
iInf
NonUnitalStarSubalgebra
ConditionallyCompletePartialOrderInf.toInfSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
SetLike.coe_injective
coe_iInf
Set.InjOn.image_iInter_eq
Set.injOn_of_injective
map_inf 📖mathematicalDFunLike.coeNonUnitalStarSubalgebra.map
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra
SemilatticeInf.toMin
Lattice.toSemilatticeInf
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
SetLike.coe_injective
Set.image_inter
map_sup 📖mathematicalNonUnitalStarSubalgebra.map
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra
SemilatticeSup.toMax
Lattice.toSemilatticeSup
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
GaloisConnection.l_sup
NonUnitalStarSubalgebra.gc_map_comap
map_top 📖mathematicalNonUnitalStarSubalgebra.map
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Top.top
NonUnitalStarSubalgebra
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
NonUnitalStarAlgHom.range
SetLike.coe_injective
Set.image_univ
mem_adjoin_of_mem 📖mathematicalSet
Set.instMembership
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
adjoin
subset_adjoin
mem_bot 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
Bot.bot
OrderBot.toBot
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderBot
CompleteLattice.toBoundedOrder
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
Set.star_empty
Set.union_empty
NonUnitalAlgebra.adjoin_empty
NonUnitalAlgebra.mem_bot
mem_iInf 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
iInf
ConditionallyCompletePartialOrderInf.toInfSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
mem_inf 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
SemilatticeInf.toMin
Lattice.toSemilatticeInf
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
mem_sInf 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
InfSet.sInf
ConditionallyCompletePartialOrderInf.toInfSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
coe_sInf
mem_sup_left 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
SemilatticeSup.toMax
Lattice.toSemilatticeSup
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
SetLike.le_def
instIsConcreteLE
le_sup_left
mem_sup_right 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
SemilatticeSup.toMax
Lattice.toSemilatticeSup
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
SetLike.le_def
instIsConcreteLE
le_sup_right
mem_top 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
Top.top
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
Set.mem_univ
mul_mem_sup 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
SemilatticeSup.toMax
Lattice.toSemilatticeSup
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
MulMemClass.mul_mem
NonUnitalSubsemiringClass.mulMemClass
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
mem_sup_left
mem_sup_right
range_eq_top 📖mathematicalNonUnitalStarAlgHom.range
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Top.top
NonUnitalStarSubalgebra
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
DFunLike.coe
eq_top_iff
range_id 📖mathematicalNonUnitalStarAlgHom.range
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSemiring.toNonUnitalNonAssocSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
StarRing.toStarAddMonoid
NonUnitalStarAlgHom.instFunLike
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
NonUnitalStarAlgHom.id
Top.top
NonUnitalStarSubalgebra
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
SetLike.coe_injective
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
Set.range_id
sInf_toNonUnitalSubalgebra 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
InfSet.sInf
NonUnitalStarSubalgebra
ConditionallyCompletePartialOrderInf.toInfSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
instCompleteLatticeNonUnitalStarSubalgebra
NonUnitalSubalgebra
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
Set.image
SetLike.coe_injective
coe_sInf
NonUnitalAlgebra.coe_sInf
Set.iInter_congr_Prop
Set.iInter_exists
Set.biInter_and'
Set.iInter_iInter_eq_right
self_mem_adjoin_singleton 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
adjoin
Set
Set.instSingletonSet
NonUnitalAlgebra.subset_adjoin
Set.mem_union_left
Set.mem_singleton
span_eq_toSubmodule 📖mathematicalSubmodule.span
CommSemiring.toSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.coe
NonUnitalStarSubalgebra
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
NonUnitalSubalgebra.toSubmodule
NonUnitalStarSubalgebra.toNonUnitalSubalgebra
Submodule.coe_span_eq_self
NonUnitalSubsemiringClass.toAddSubmonoidClass
NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass
NonUnitalStarSubalgebra.instSMulMemClass
star_self_mem_adjoin_singleton 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
adjoin
Set
Set.instSingletonSet
Star.star
StarMemClass.star_mem
NonUnitalStarSubalgebra.instStarMemClass
self_mem_adjoin_singleton
star_subset_adjoin 📖mathematicalSet
Set.instHasSubset
Star.star
Set.star
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSemiring.toNonUnitalNonAssocSemiring
StarRing.toStarAddMonoid
SetLike.coe
NonUnitalStarSubalgebra
NonUnitalStarSubalgebra.instSetLike
adjoin
HasSubset.Subset.trans
Set.instIsTransSubset
Set.subset_union_right
NonUnitalAlgebra.subset_adjoin
subset_adjoin 📖mathematicalSet
Set.instHasSubset
SetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
adjoin
HasSubset.Subset.trans
Set.instIsTransSubset
Set.subset_union_left
NonUnitalAlgebra.subset_adjoin
toNonUnitalSubalgebra_bot 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Bot.bot
NonUnitalStarSubalgebra
OrderBot.toBot
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderBot
CompleteLattice.toBoundedOrder
NonUnitalSubalgebra
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
NonUnitalSubalgebra.ext
toNonUnitalSubalgebra_eq_top 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Top.top
NonUnitalSubalgebra
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
NonUnitalStarSubalgebra
instCompleteLatticeNonUnitalStarSubalgebra
NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injective
top_toNonUnitalSubalgebra
top_toNonUnitalSubalgebra 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Top.top
NonUnitalStarSubalgebra
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
NonUnitalSubalgebra
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
NonUnitalSubalgebra.ext

NonUnitalStarSubalgebra

Definitions

NameCategoryTheorems
center 📖CompOp
5 mathmath: center_toNonUnitalSubalgebra, mem_center_iff, coe_center, center_eq_top, centralizer_univ
centralizer 📖CompOp
9 mathmath: centralizer_le, topologicalClosure_adjoin_le_centralizer_centralizer, coe_centralizer, mem_centralizer_iff, NonUnitalStarAlgebra.elemental.le_centralizer_centralizer, coe_centralizer_centralizer, centralizer_toNonUnitalSubalgebra, centralizer_univ, NonUnitalStarAlgebra.adjoin_le_centralizer_centralizer
comap 📖CompOp
5 mathmath: mem_comap, NonUnitalStarAlgebra.comap_top, gc_map_comap, map_le, coe_comap
copy 📖CompOp
2 mathmath: copy_eq, coe_copy
iSupLift 📖CompOp
4 mathmath: iSupLift_inclusion, iSupLift_of_mem, iSupLift_comp_inclusion, iSupLift_mk
inclusion 📖CompOp
6 mathmath: val_inclusion, inclusion_mk, inclusion_right, inclusion_injective, inclusion_self, inclusion_inclusion
instInhabited 📖CompOp
instModule 📖CompOp
19 mathmath: StarAlgEquiv.ofLeftInverse'_apply, NonUnitalStarAlgHom.coe_codRestrict, NonUnitalStarAlgHom.injective_codRestrict, val_inclusion, instIsTorsionFree, range_val, inclusion_mk, inclusion_right, instSMulCommClass', Unitization.inrRangeEquiv_apply_coe, StarAlgEquiv.ofInjective'_apply, instIsScalarTower, inclusion_injective, StarAlgEquiv.ofLeftInverse'_symm_apply, instSMulCommClass, Unitization.inrRangeEquiv_symm_apply, inclusion_self, instIsScalarTower', inclusion_inclusion
instNonUnitalCommRing 📖CompOp
instNonUnitalCommSemiring 📖CompOp
instPartialOrder 📖CompOp
23 mathmath: topologicalClosure_map_le, centralizer_le, topologicalClosure_adjoin_le_centralizer_centralizer, NonUnitalSubalgebra.starClosure_le_iff, NonUnitalStarAlgHom.range_comp_le_range, NonUnitalStarAlgebra.adjoin_le, NonUnitalStarAlgebra.adjoin_mono, NonUnitalStarAlgebra.gc, NonUnitalSubalgebra.starClosure_mono, NonUnitalSubalgebra.starClosure_le, NonUnitalStarAlgebra.elemental.le_centralizer_centralizer, toNonUnitalSubalgebra_le_iff, le_topologicalClosure, gc_map_comap, NonUnitalStarAlgebra.adjoin_le_iff, NonUnitalStarAlgebra.elemental.le_of_mem, NonUnitalStarAlgebra.elemental.le_iff_mem, Unitization.starLift_range_le, map_le, map_topologicalClosure_le, NonUnitalStarAlgebra.adjoin_le_starAlgebra_adjoin, inclusion_self, NonUnitalStarAlgebra.adjoin_le_centralizer_centralizer
instSetLike 📖CompOp
106 mathmath: range_cfcₙ_nnreal, NonUnitalSubalgebra.coe_starClosure, mem_carrier, coe_zero, ofClass_carrier, mem_map, instSMulMemClass, StarAlgEquiv.ofLeftInverse'_apply, cfcₙHom_apply_mem_elemental, NonUnitalStarAlgebra.mem_bot, topologicalClosure_adjoin_le_centralizer_centralizer, NonUnitalStarAlgebra.coe_bot, NonUnitalStarAlgebra.mem_top, NonUnitalSubalgebra.coe_toNonUnitalStarSubalgebra, NonUnitalStarAlgebra.elemental.isClosedEmbedding_coe, instCanLiftSetCoeAndMemOfNatForallForallForallForallHAddForallForallForallForallHMulForallForallForallHSMulForallForallStar, mem_comap, coe_neg, NonUnitalStarAlgebra.mem_sInf, StarAlgebra.adjoin_nonUnitalStarSubalgebra, instNonUnitalSubringClass, NonUnitalStarAlgebra.coe_top, coe_toNonUnitalSubring, NonUnitalStarAlgebra.coe_sInf, val_inclusion, instIsTopologicalSemiring, StarAlgebra.adjoin_nonUnitalStarSubalgebra_eq_span, range_cfcₙ, instIsTorsionFree, Unitization.starLift_range, mem_toNonUnitalSubring, NonUnitalStarAlgebra.mem_iInf, ext_iff, NonUnitalStarAlgebra.gc, NonUnitalStarAlgebra.subset_adjoin, toNonUnitalSubalgebra_subtype, range_val, NonUnitalStarAlgebra.elemental.isClosed, NonUnitalSubalgebra.mem_toNonUnitalStarSubalgebra, coe_centralizer, range_cfcₙ_eq_range_cfcₙHom, ContinuousMap.adjoin_id_eq_span_one_union, mem_centralizer_iff, NonUnitalStarAlgebra.elemental.self_mem, NonUnitalStarAlgebra.star_subset_adjoin, instNonUnitalSubsemiringClass, coe_map, NonUnitalStarAlgebra.elemental.le_centralizer_centralizer, NonUnitalStarAlgebra.elemental.star_self_mem, coe_eq_zero, NonUnitalStarAlgHom.mem_range_self, NonUnitalStarAlgebra.coe_iInf, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, mem_center_iff, coe_center, instIsTopologicalRing, coe_smul, instSMulCommClass', coe_centralizer_centralizer, coe_iSup_of_directed, NonUnitalStarAlgebra.mem_adjoin_of_mem, toSubring_subtype, NonUnitalStarAlgHom.mem_equalizer, cfcₙAux_mem_range_inr, ContinuousMap.adjoin_id_eq_span_one_add, NonUnitalStarAlgebra.adjoin_le_iff, NonUnitalStarAlgebra.span_eq_toSubmodule, instNoZeroDivisors, NonUnitalStarAlgHom.mem_range, NonUnitalStarAlgebra.coe_inf, NonUnitalStarAlgebra.adjoin_eq, Unitization.inrRangeEquiv_apply_coe, coe_mul, StarSubalgebra.one_mem_toNonUnitalStarSubalgebra, toNonUnitalSubalgebra_toNonUnitalStarSubalgebra, coe_toNonUnitalSubalgebra, NonUnitalStarAlgebra.star_self_mem_adjoin_singleton, NonUnitalStarAlgebra.elemental.le_iff_mem, coe_add, StarAlgEquiv.ofInjective'_apply, coe_prod, NonUnitalStarAlgebra.eq_top_iff, instIsScalarTower, inclusion_injective, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, NonUnitalStarAlgebra.self_mem_adjoin_singleton, cfcₙ_apply_mem_elemental, ContinuousMapZero.adjoin_id_dense, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, StarAlgEquiv.ofLeftInverse'_symm_apply, coe_sub, NonUnitalStarAlgebra.elemental.instCompleteSpaceSubtypeMemNonUnitalStarSubalgebra, instSMulCommClass, Unitization.inrRangeEquiv_symm_apply, mem_prod, mem_toNonUnitalSubalgebra, inclusion_self, NonUnitalSubalgebra.mem_starClosure, instIsScalarTower', coe_comap, NonUnitalStarAlgebra.mem_inf, inclusion_inclusion, instStarMemClass, NonUnitalStarAlgHom.coe_range, NonUnitalStarAlgebra.adjoin_le_centralizer_centralizer, isClosed_topologicalClosure
map 📖CompOp
20 mathmath: topologicalClosure_map_le, mem_map, map_map, map_mono, coe_map, NonUnitalStarAlgHom.map_adjoin_singleton, gc_map_comap, NonUnitalStarAlgebra.map_bot, map_injective, NonUnitalStarAlgebra.map_sup, NonUnitalStarAlgebra.map_top, NonUnitalStarAlgHom.map_adjoin, NonUnitalStarAlgebra.map_inf, topologicalClosure_map, map_le, map_topologicalClosure_le, map_toNonUnitalSubalgebra, map_id, NonUnitalStarAlgebra.map_iInf, NonUnitalStarAlgHom.range_comp
module' 📖CompOp
2 mathmath: instSMulCommClass', instIsScalarTower'
ofClass 📖CompOp
1 mathmath: ofClass_carrier
prod 📖CompOp
6 mathmath: prod_toNonUnitalSubalgebra, prod_mono, prod_inf_prod, coe_prod, prod_top, mem_prod
toNonUnitalCommRing 📖CompOp
toNonUnitalCommSemiring 📖CompOp
toNonUnitalRing 📖CompOp
1 mathmath: instIsTopologicalRing
toNonUnitalSemiring 📖CompOp
13 mathmath: StarAlgEquiv.ofLeftInverse'_apply, val_inclusion, instIsTopologicalSemiring, inclusion_mk, inclusion_right, instNoZeroDivisors, Unitization.inrRangeEquiv_apply_coe, StarAlgEquiv.ofInjective'_apply, inclusion_injective, StarAlgEquiv.ofLeftInverse'_symm_apply, Unitization.inrRangeEquiv_symm_apply, inclusion_self, inclusion_inclusion
toNonUnitalSubalgebra 📖CompOp
24 mathmath: mem_carrier, prod_toNonUnitalSubalgebra, NonUnitalSubalgebra.starClosure_le_iff, NonUnitalStarAlgebra.iInf_toNonUnitalSubalgebra, center_toNonUnitalSubalgebra, NonUnitalStarAlgebra.adjoin_toNonUnitalSubalgebra, toNonUnitalSubalgebra_injective, StarAlgebra.adjoin_nonUnitalStarSubalgebra_eq_span, NonUnitalStarAlgebra.adjoin_eq_span, NonUnitalStarAlgebra.top_toNonUnitalSubalgebra, NonUnitalStarAlgebra.toNonUnitalSubalgebra_eq_top, toNonUnitalSubalgebra_le_iff, toNonUnitalSubalgebra_inj, centralizer_toNonUnitalSubalgebra, NonUnitalStarAlgebra.span_eq_toSubmodule, toNonUnitalSubalgebra_toNonUnitalStarSubalgebra, coe_toNonUnitalSubalgebra, NonUnitalSubalgebra.toNonUnitalStarSubalgebra_toNonUnitalSubalgebra, NonUnitalStarAlgebra.sInf_toNonUnitalSubalgebra, NonUnitalSubalgebra.starClosure_toNonUnitalSubalgebra, map_toNonUnitalSubalgebra, mem_toNonUnitalSubalgebra, NonUnitalStarAlgebra.toNonUnitalSubalgebra_bot, NonUnitalStarAlgebra.inf_toNonUnitalSubalgebra
toNonUnitalSubalgebra' 📖CompOp
toNonUnitalSubring 📖CompOp
4 mathmath: coe_toNonUnitalSubring, toNonUnitalSubring_inj, mem_toNonUnitalSubring, toNonUnitalSubring_injective

Theorems

NameKindAssumesProvesValidatesDepends On
center_eq_top 📖mathematicalcenter
NonUnitalCommSemiring.toNonUnitalSemiring
Top.top
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
SetLike.coe_injective
Set.center_eq_univ
center_toNonUnitalSubalgebra 📖mathematicaltoNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
center
NonUnitalSubalgebra.center
centralizer_le 📖mathematicalSet
Set.instHasSubset
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
centralizer
Set.centralizer_subset
Set.union_subset_union
Set.preimage_mono
centralizer_toNonUnitalSubalgebra 📖mathematicaltoNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
centralizer
NonUnitalSubalgebra.centralizer
Set
Set.instUnion
Star.star
Set.instInvolutiveStar
centralizer_univ 📖mathematicalcentralizer
Set.univ
center
SetLike.ext'
coe_centralizer
Set.univ_union
coe_center
Set.centralizer_univ
coe_add 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
Distrib.toAdd
NonUnitalNonAssocSemiring.toDistrib
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
instNonUnitalSubsemiringClass
coe_center 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
instSetLike
center
Set.center
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
coe_centralizer 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
instSetLike
centralizer
Set.centralizer
Set
Set.instUnion
Star.star
Set.instInvolutiveStar
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
coe_centralizer_centralizer 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
instSetLike
centralizer
Set.centralizer
Set
Set.instUnion
Star.star
Set.instInvolutiveStar
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
coe_centralizer
StarMemClass.star_coe_eq
instStarMemClass
Set.union_self
coe_comap 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
instSetLike
comap
Set.preimage
DFunLike.coe
coe_copy 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
instSetLike
copy
coe_eq_zero 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
ZeroMemClass.zero
AddSubmonoidClass.toZeroMemClass
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toAddSubmonoidClass
instNonUnitalSubsemiringClass
ZeroMemClass.coe_eq_zero
AddSubmonoidClass.toZeroMemClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
instNonUnitalSubsemiringClass
coe_iSup_of_directed 📖mathematicalDirected
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
SetLike.coe
instSetLike
iSup
ConditionallyCompletePartialOrderSup.toSupSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
Set.iUnion
NonUnitalSubalgebra.coe_iSup_of_directed
Set.mem_iUnion
StarMemClass.star_mem
instStarMemClass
le_antisymm
iSup_le
le_iSup
Set.iUnion_subset
coe_map 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
instSetLike
map
Set.image
DFunLike.coe
coe_mul 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
instNonUnitalSubsemiringClass
coe_neg 📖mathematicalNonUnitalStarSubalgebra
CommRing.toCommSemiring
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
NegMemClass.neg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NonUnitalNonAssocRing.toAddCommGroup
NonUnitalSubringClass.toNegMemClass
instNonUnitalSubringClass
NonUnitalSubringClass.toNegMemClass
instNonUnitalSubringClass
coe_prod 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
Prod.instNonUnitalNonAssocSemiring
NonUnitalSemiring.toNonUnitalNonAssocSemiring
Prod.instModule
CommSemiring.toSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Prod.instStar
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
StarRing.toStarAddMonoid
instSetLike
prod
SProd.sprod
Set
Set.instSProd
coe_smul 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
SetLike.smul'
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Module.toDistribMulAction
instSMulMemClass
instSMulMemClass
coe_sub 📖mathematicalNonUnitalStarSubalgebra
CommRing.toCommSemiring
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
AddSubgroupClass.sub
AddGroup.toSubNegMonoid
AddCommGroup.toAddGroup
NonUnitalNonAssocRing.toAddCommGroup
NonUnitalSubringClass.addSubgroupClass
instNonUnitalSubringClass
SubNegMonoid.toSub
NonUnitalSubringClass.addSubgroupClass
instNonUnitalSubringClass
coe_toNonUnitalSubalgebra 📖mathematicalSetLike.coe
NonUnitalSubalgebra
NonUnitalSubalgebra.instSetLike
toNonUnitalSubalgebra
NonUnitalStarSubalgebra
instSetLike
coe_toNonUnitalSubring 📖mathematicalSetLike.coe
NonUnitalSubring
NonUnitalRing.toNonUnitalNonAssocRing
NonUnitalSubring.instSetLike
toNonUnitalSubring
NonUnitalStarSubalgebra
CommRing.toCommSemiring
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
instSetLike
coe_zero 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
ZeroMemClass.zero
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
AddSubmonoidClass.toZeroMemClass
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toAddSubmonoidClass
instNonUnitalSubsemiringClass
AddSubmonoidClass.toZeroMemClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
instNonUnitalSubsemiringClass
copy_eq 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
instSetLike
copySetLike.coe_injective
ext 📖NonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
SetLike.ext
ext_iff 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
ext
gc_map_comap 📖mathematicalGaloisConnection
NonUnitalStarSubalgebra
PartialOrder.toPreorder
instPartialOrder
map
comap
map_le
iSupLift_comp_inclusion 📖mathematicalDirected
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
NonUnitalStarAlgHom.comp
SetLike.instMembership
instSetLike
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
inclusion
iSup
ConditionallyCompletePartialOrderSup.toSupSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
iSupLiftinstStarMemClass
NonUnitalStarAlgHom.ext
iSupLift_inclusion
iSupLift_inclusion 📖mathematicalDirected
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
NonUnitalStarAlgHom.comp
SetLike.instMembership
instSetLike
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
inclusion
iSup
ConditionallyCompletePartialOrderSup.toSupSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
DFunLike.coe
NonUnitalStarAlgHom
NonUnitalStarAlgHom.instFunLike
iSupLift
instStarMemClass
Set.iUnionLift_inclusion
iSupLift_mk 📖mathematicalDirected
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
NonUnitalStarAlgHom.comp
SetLike.instMembership
instSetLike
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
inclusion
iSup
ConditionallyCompletePartialOrderSup.toSupSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
DFunLike.coe
NonUnitalStarAlgHom
NonUnitalStarAlgHom.instFunLike
iSupLift
instStarMemClass
iSupLift_of_mem 📖mathematicalDirected
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
NonUnitalStarAlgHom.comp
SetLike.instMembership
instSetLike
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
inclusion
iSup
ConditionallyCompletePartialOrderSup.toSupSet
ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup
ConditionallyCompleteLattice.toConditionallyCompletePartialOrder
CompleteLattice.toConditionallyCompleteLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
DFunLike.coe
NonUnitalStarAlgHom
NonUnitalStarAlgHom.instFunLike
iSupLift
instStarMemClass
Set.iUnionLift_of_mem
inclusion_inclusion 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
DFunLike.coe
NonUnitalStarAlgHom
SetLike.instMembership
instSetLike
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
NonUnitalStarAlgHom.instFunLike
inclusion
le_trans
instStarMemClass
le_trans
inclusion_injective 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
SetLike.instMembership
instSetLike
DFunLike.coe
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
NonUnitalStarAlgHom.instFunLike
inclusion
instStarMemClass
inclusion_mk 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
SetLike.instMembership
instSetLike
DFunLike.coe
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
NonUnitalStarAlgHom.instFunLike
inclusion
instStarMemClass
inclusion_right 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
SetLike.instMembership
instSetLike
DFunLike.coe
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
NonUnitalStarAlgHom.instFunLike
inclusion
instStarMemClass
inclusion_self 📖mathematicalNonUnitalAlgHomClass.toNonUnitalAlgHom
NonUnitalStarAlgHom
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
instSetLike
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
NonUnitalStarAlgHom.instFunLike
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
inclusion
le_refl
PartialOrder.toPreorder
instPartialOrder
NonUnitalAlgHom.id
NonUnitalAlgHom.ext
instStarMemClass
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
le_refl
instCanLiftSetCoeAndMemOfNatForallForallForallForallHAddForallForallForallForallHMulForallForallForallHSMulForallForallStar 📖mathematicalCanLift
Set
NonUnitalStarSubalgebra
SetLike.coe
instSetLike
Set.instMembership
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
instIsScalarTower 📖mathematicalIsScalarTower
NonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
instModule
instDistribSMul
instNonUnitalSubsemiringClass
smul_assoc
instIsScalarTower' 📖mathematicalIsScalarTower
NonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
instModule
module'
NonUnitalSubalgebra.instIsScalarTower'
instIsTorsionFree 📖mathematicalModule.IsTorsionFree
NonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
CommSemiring.toSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
instModule
Function.Injective.moduleIsTorsionFree
instNonUnitalSubsemiringClass
Subtype.coe_injective
instNoZeroDivisors 📖mathematicalNoZeroDivisors
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
toNonUnitalSemiring
ZeroMemClass.zero
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
AddSubmonoidClass.toZeroMemClass
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toAddSubmonoidClass
instNonUnitalSubsemiringClass
NonUnitalSubsemiringClass.noZeroDivisors
instNonUnitalSubsemiringClass
instNonUnitalSubringClass 📖mathematicalNonUnitalSubringClass
NonUnitalStarSubalgebra
CommRing.toCommSemiring
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
instSetLike
instNonUnitalSubsemiringClass
SMulMemClass.smul_mem
instSMulMemClass
neg_one_smul
instNonUnitalSubsemiringClass 📖mathematicalNonUnitalSubsemiringClass
NonUnitalStarSubalgebra
instSetLike
AddSubsemigroup.add_mem'
AddSubmonoid.zero_mem'
NonUnitalSubsemiring.mul_mem'
instSMulCommClass 📖mathematicalSMulCommClass
NonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
instModule
instDistribSMul
instNonUnitalSubsemiringClass
SMulCommClass.smul_comm
instSMulCommClass' 📖mathematicalSMulCommClass
NonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
module'
CommSemiring.toSemiring
instModule
instNonUnitalSubsemiringClass
SMulCommClass.smul_comm
instSMulMemClass 📖mathematicalSMulMemClass
NonUnitalStarSubalgebra
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
instSetLike
NonUnitalSubalgebra.smul_mem'
instStarMemClass 📖mathematicalStarMemClass
NonUnitalStarSubalgebra
instSetLike
star_mem'
map_id 📖mathematicalmap
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalStarAlgHom.instFunLike
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
NonUnitalStarAlgHom.id
SetLike.coe_injective
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
Set.image_id
map_injective 📖mathematicalDFunLike.coeNonUnitalStarSubalgebra
map
ext
Set.ext_iff
Set.image_injective
Set.ext
SetLike.ext_iff
map_le 📖mathematicalNonUnitalStarSubalgebra
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
map
comap
Set.image_subset_iff
map_map 📖mathematicalmap
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalStarAlgHom.instFunLike
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
NonUnitalStarAlgHom.comp
SetLike.coe_injective
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
Set.image_image
map_mono 📖mathematicalNonUnitalStarSubalgebra
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
mapSet.image_mono
map_toNonUnitalSubalgebra 📖mathematicaltoNonUnitalSubalgebra
map
NonUnitalSubalgebra.map
SetLike.coe_injective
mem_carrier 📖mathematicalSet
Set.instMembership
AddSubsemigroup.carrier
AddZero.toAdd
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
AddSubmonoid.toAddSubsemigroup
NonUnitalSubsemiring.toAddSubmonoid
NonUnitalSubalgebra.toNonUnitalSubsemiring
toNonUnitalSubalgebra
NonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
mem_center_iff 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
instSetLike
center
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Subsemigroup.mem_center_iff
mem_centralizer_iff 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
instSetLike
centralizer
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Star.star
Set.star_mem_star
star_star
mem_comap 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
comap
DFunLike.coe
mem_map 📖mathematicalNonUnitalStarSubalgebra
SetLike.instMembership
instSetLike
map
DFunLike.coe
NonUnitalSubalgebra.mem_map
NonUnitalAlgHom.instNonUnitalAlgSemiHomClass
mem_prod 📖mathematicalNonUnitalStarSubalgebra
Prod.instNonUnitalNonAssocSemiring
NonUnitalSemiring.toNonUnitalNonAssocSemiring
Prod.instModule
CommSemiring.toSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Prod.instStar
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
instSetLike
prod
Set.mem_prod
mem_toNonUnitalSubalgebra 📖mathematicalNonUnitalSubalgebra
SetLike.instMembership
NonUnitalSubalgebra.instSetLike
toNonUnitalSubalgebra
NonUnitalStarSubalgebra
instSetLike
mem_toNonUnitalSubring 📖mathematicalNonUnitalSubring
NonUnitalRing.toNonUnitalNonAssocRing
SetLike.instMembership
NonUnitalSubring.instSetLike
toNonUnitalSubring
NonUnitalStarSubalgebra
CommRing.toCommSemiring
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
instSetLike
ofClass_carrier 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
instSetLike
ofClass
prod_inf_prod 📖mathematicalNonUnitalStarSubalgebra
Prod.instNonUnitalNonAssocSemiring
NonUnitalSemiring.toNonUnitalNonAssocSemiring
Prod.instModule
CommSemiring.toSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Prod.instStar
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
StarRing.toStarAddMonoid
SemilatticeInf.toMin
Lattice.toSemilatticeInf
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
Prod.instNonUnitalSemiring
Prod.instStarRing
Prod.isScalarTowerBoth
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
SemigroupAction.toSMul
Monoid.toSemigroup
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
MulAction.toSemigroupAction
DistribMulAction.toMulAction
Module.toDistribMulAction
Prod.smulCommClassBoth
Prod.instStarModule
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
prod
SetLike.coe_injective
Prod.isScalarTowerBoth
Prod.smulCommClassBoth
Prod.instStarModule
Set.prod_inter_prod
prod_mono 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
Prod.instNonUnitalNonAssocSemiring
Prod.instModule
CommSemiring.toSemiring
Prod.instStar
prod
Set.prod_mono
prod_toNonUnitalSubalgebra 📖mathematicaltoNonUnitalSubalgebra
Prod.instNonUnitalNonAssocSemiring
NonUnitalSemiring.toNonUnitalNonAssocSemiring
Prod.instModule
CommSemiring.toSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Prod.instStar
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
StarRing.toStarAddMonoid
prod
NonUnitalSubalgebra.prod
prod_top 📖mathematicalprod
Top.top
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
OrderTop.toTop
Preorder.toLE
PartialOrder.toPreorder
SemilatticeSup.toPartialOrder
Lattice.toSemilatticeSup
CompleteLattice.toLattice
NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra
BoundedOrder.toOrderTop
CompleteLattice.toBoundedOrder
Prod.instNonUnitalNonAssocSemiring
Prod.instModule
CommSemiring.toSemiring
Prod.instStar
Prod.instNonUnitalSemiring
Prod.instStarRing
Prod.isScalarTowerBoth
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
SemigroupAction.toSMul
Monoid.toSemigroup
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
MulAction.toSemigroupAction
DistribMulAction.toMulAction
Module.toDistribMulAction
Prod.smulCommClassBoth
Prod.instStarModule
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
ext
Prod.isScalarTowerBoth
Prod.smulCommClassBoth
Prod.instStarModule
range_val 📖mathematicalNonUnitalStarAlgHom.range
NonUnitalStarAlgHom
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
instSetLike
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
Module.toDistribMulAction
SubmoduleClass.module
NonUnitalSubsemiringClass.toAddSubmonoidClass
instSMulMemClass
StarMemClass.instStar
instStarMemClass
instModule
NonUnitalStarAlgHom.instFunLike
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
NonUnitalStarSubalgebraClass.subtype
ext
instNonUnitalSubsemiringClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
instSMulMemClass
instStarMemClass
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarAlgHom.instStarHomClass
Set.ext_iff
NonUnitalStarAlgHom.coe_range
Subtype.range_val
star_mem' 📖mathematicalSet
Set.instMembership
AddSubsemigroup.carrier
AddZero.toAdd
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
AddSubmonoid.toAddSubsemigroup
NonUnitalSubsemiring.toAddSubmonoid
NonUnitalSubalgebra.toNonUnitalSubsemiring
toNonUnitalSubalgebra
Star.star
subsingleton_of_subsingleton 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
ext
ZeroMemClass.zero_mem
AddSubmonoidClass.toZeroMemClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
instNonUnitalSubsemiringClass
toNonUnitalSubalgebra_inj 📖mathematicaltoNonUnitalSubalgebratoNonUnitalSubalgebra_injective
toNonUnitalSubalgebra_injective 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSubalgebra
toNonUnitalSubalgebra
ext
mem_toNonUnitalSubalgebra
toNonUnitalSubalgebra_le_iff 📖mathematicalNonUnitalSubalgebra
Preorder.toLE
PartialOrder.toPreorder
NonUnitalSubalgebra.instPartialOrder
toNonUnitalSubalgebra
NonUnitalStarSubalgebra
instPartialOrder
toNonUnitalSubalgebra_subtype 📖mathematicalNonUnitalSubalgebraClass.subtype
NonUnitalStarSubalgebra
instSetLike
instNonUnitalSubsemiringClass
instSMulMemClass
NonUnitalAlgHomClass.toNonUnitalAlgHom
NonUnitalStarAlgHom
SetLike.instMembership
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
SubmoduleClass.module
NonUnitalSubsemiringClass.toAddSubmonoidClass
StarMemClass.instStar
instStarMemClass
NonUnitalStarAlgHom.instFunLike
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarSubalgebraClass.subtype
instNonUnitalSubsemiringClass
NonUnitalSubsemiringClass.toAddSubmonoidClass
instSMulMemClass
toNonUnitalSubalgebra_toNonUnitalStarSubalgebra 📖mathematicalNonUnitalSubalgebra.toNonUnitalStarSubalgebra
toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
StarMemClass.star_mem
NonUnitalStarSubalgebra
instSetLike
instStarMemClass
SetLike.coe_injective
StarMemClass.star_mem
instStarMemClass
toNonUnitalSubring_inj 📖mathematicaltoNonUnitalSubringtoNonUnitalSubring_injective
toNonUnitalSubring_injective 📖mathematicalNonUnitalStarSubalgebra
CommRing.toCommSemiring
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
NonUnitalRing.toNonUnitalNonAssocRing
NonUnitalSubring
toNonUnitalSubring
ext
mem_toNonUnitalSubring
toSubring_subtype 📖mathematicalNonUnitalSubringClass.subtype
NonUnitalStarSubalgebra
CommRing.toCommSemiring
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
instSetLike
instNonUnitalSubringClass
NonUnitalRingHomClass.toNonUnitalRingHom
NonUnitalStarAlgHom
SetLike.instMembership
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
instNonUnitalSubsemiringClass
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
SubmoduleClass.module
NonUnitalSubsemiringClass.toAddSubmonoidClass
instSMulMemClass
StarMemClass.instStar
instStarMemClass
NonUnitalSubringClass.toNonUnitalNonAssocRing
NonUnitalStarAlgHom.instFunLike
NonUnitalAlgHomClass.toNonUnitalRingHomClass
MonoidHom.id
MulOneClass.toMulOne
Monoid.toMulOneClass
NonUnitalStarAlgHom.instNonUnitalAlgHomClass
NonUnitalStarSubalgebraClass.subtype
instNonUnitalSubringClass
val_inclusion 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
SetLike.instMembership
instSetLike
DFunLike.coe
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
toNonUnitalSemiring
Module.toDistribMulAction
instModule
StarMemClass.instStar
instStarMemClass
NonUnitalStarAlgHom.instFunLike
inclusion
instStarMemClass

NonUnitalStarSubalgebraClass

Definitions

NameCategoryTheorems
subtype 📖CompOp
7 mathmath: NonUnitalStarSubalgebra.toNonUnitalSubalgebra_subtype, NonUnitalStarSubalgebra.range_val, coe_subtype, subtype_injective, NonUnitalStarSubalgebra.toSubring_subtype, NonUnitalStarAlgHom.subtype_comp_codRestrict, subtype_apply

Theorems

NameKindAssumesProvesValidatesDepends On
coe_subtype 📖mathematicalDFunLike.coe
NonUnitalStarAlgHom
SetLike.instMembership
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
SubmoduleClass.module
NonUnitalSubsemiringClass.toAddSubmonoidClass
StarMemClass.instStar
NonUnitalStarAlgHom.instFunLike
subtype
NonUnitalSubsemiringClass.toAddSubmonoidClass
subtype_apply 📖mathematicalDFunLike.coe
NonUnitalStarAlgHom
SetLike.instMembership
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
SubmoduleClass.module
NonUnitalSubsemiringClass.toAddSubmonoidClass
StarMemClass.instStar
NonUnitalStarAlgHom.instFunLike
subtype
NonUnitalSubsemiringClass.toAddSubmonoidClass
subtype_injective 📖mathematicalSetLike.instMembership
DFunLike.coe
NonUnitalStarAlgHom
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring
Module.toDistribMulAction
NonUnitalNonAssocSemiring.toAddCommMonoid
SubmoduleClass.module
NonUnitalSubsemiringClass.toAddSubmonoidClass
StarMemClass.instStar
NonUnitalStarAlgHom.instFunLike
subtype
Subtype.coe_injective

NonUnitalSubalgebra

Definitions

NameCategoryTheorems
instInvolutiveStar 📖CompOp
8 mathmath: coe_starClosure, mem_star_iff, coe_star, star_mono, starClosure_toNonUnitalSubalgebra, mem_starClosure, star_mem_star_iff, star_adjoin_comm
starClosure 📖CompOp
8 mathmath: coe_starClosure, starClosure_le_iff, NonUnitalStarAlgebra.adjoin_eq_starClosure_adjoin, starClosure_mono, starClosure_eq_adjoin, starClosure_le, starClosure_toNonUnitalSubalgebra, mem_starClosure
toNonUnitalStarSubalgebra 📖CompOp
4 mathmath: coe_toNonUnitalStarSubalgebra, mem_toNonUnitalStarSubalgebra, NonUnitalStarSubalgebra.toNonUnitalSubalgebra_toNonUnitalStarSubalgebra, toNonUnitalStarSubalgebra_toNonUnitalSubalgebra

Theorems

NameKindAssumesProvesValidatesDepends On
coe_star 📖mathematicalSetLike.coe
NonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
instSetLike
Star.star
InvolutiveStar.toStar
instInvolutiveStar
Set
Set.star
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
coe_starClosure 📖mathematicalSetLike.coe
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra.instSetLike
starClosure
NonUnitalSubalgebra
instSetLike
SemilatticeSup.toMax
Lattice.toSemilatticeSup
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
Star.star
instInvolutiveStar
coe_toNonUnitalStarSubalgebra 📖mathematicalNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
Star.star
SetLike.coe
NonUnitalStarSubalgebra
NonUnitalStarSubalgebra.instSetLike
toNonUnitalStarSubalgebra
mem_starClosure 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
starClosure
NonUnitalSubalgebra
instSetLike
SemilatticeSup.toMax
Lattice.toSemilatticeSup
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
Star.star
instInvolutiveStar
mem_star_iff 📖mathematicalNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
Star.star
InvolutiveStar.toStar
instInvolutiveStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
mem_toNonUnitalStarSubalgebra 📖mathematicalNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
Star.star
NonUnitalStarSubalgebra
NonUnitalStarSubalgebra.instSetLike
toNonUnitalStarSubalgebra
starClosure_eq_adjoin 📖mathematicalstarClosure
NonUnitalStarAlgebra.adjoin
SetLike.coe
NonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
instSetLike
le_antisymm
starClosure_le_iff
NonUnitalStarAlgebra.subset_adjoin
NonUnitalStarAlgebra.adjoin_le
le_sup_left
starClosure_le 📖mathematicalNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
Preorder.toLE
PartialOrder.toPreorder
instPartialOrder
NonUnitalStarSubalgebra.toNonUnitalSubalgebra
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalStarSubalgebra
NonUnitalStarSubalgebra.instPartialOrder
starClosure
NonUnitalStarSubalgebra.toNonUnitalSubalgebra_le_iff
sup_le
StarMemClass.star_mem
NonUnitalStarSubalgebra.instStarMemClass
mem_star_iff
star_star
starClosure_le_iff 📖mathematicalNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
Preorder.toLE
PartialOrder.toPreorder
NonUnitalStarSubalgebra.instPartialOrder
starClosure
NonUnitalSubalgebra
instPartialOrder
NonUnitalStarSubalgebra.toNonUnitalSubalgebra
LE.le.trans
le_sup_left
starClosure_le
starClosure_mono 📖mathematicalMonotone
NonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
NonUnitalStarSubalgebra
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
PartialOrder.toPreorder
instPartialOrder
NonUnitalStarSubalgebra.instPartialOrder
starClosure
starClosure_le
LE.le.trans
le_sup_left
starClosure_toNonUnitalSubalgebra 📖mathematicalNonUnitalStarSubalgebra.toNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
starClosure
NonUnitalSubalgebra
SemilatticeSup.toMax
Lattice.toSemilatticeSup
ConditionallyCompleteLattice.toLattice
CompleteLattice.toConditionallyCompleteLattice
NonUnitalAlgebra.instCompleteLatticeNonUnitalSubalgebra
Star.star
instInvolutiveStar
star_adjoin_comm 📖mathematicalStar.star
NonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
InvolutiveStar.toStar
instInvolutiveStar
NonUnitalAlgebra.adjoin
Set
Set.star
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
NonUnitalAlgebra.adjoin_le
NonUnitalAlgebra.subset_adjoin
le_antisymm
NonUnitalAlgebra.adjoin.congr_simp
star_star
star_mono
star_mem_star_iff 📖mathematicalNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
Star.star
InvolutiveStar.toStar
instInvolutiveStar
StarAddMonoid.toInvolutiveStar
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
StarRing.toStarAddMonoid
star_star
star_mono 📖mathematicalMonotone
NonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
PartialOrder.toPreorder
instPartialOrder
Star.star
InvolutiveStar.toStar
instInvolutiveStar
toNonUnitalStarSubalgebra_toNonUnitalSubalgebra 📖mathematicalNonUnitalSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
instSetLike
Star.star
NonUnitalStarSubalgebra.toNonUnitalSubalgebra
toNonUnitalStarSubalgebra
SetLike.coe_injective

StarAlgEquiv

Definitions

NameCategoryTheorems
ofInjective' 📖CompOp
1 mathmath: ofInjective'_apply
ofLeftInverse' 📖CompOp
2 mathmath: ofLeftInverse'_apply, ofLeftInverse'_symm_apply

Theorems

NameKindAssumesProvesValidatesDepends On
ofInjective'_apply 📖mathematicalDFunLike.coeNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
NonUnitalStarAlgHom.range
StarAlgEquiv
Distrib.toAdd
NonUnitalNonAssocSemiring.toDistrib
NonUnitalStarSubalgebra.toNonUnitalSemiring
Distrib.toMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalStarSubalgebra.instModule
StarMemClass.instStar
NonUnitalStarSubalgebra.instStarMemClass
instFunLike
ofInjective'
NonUnitalStarSubalgebra.instStarMemClass
ofLeftInverse'_apply 📖mathematicalDFunLike.coeNonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
NonUnitalStarAlgHom.range
StarAlgEquiv
Distrib.toAdd
NonUnitalNonAssocSemiring.toDistrib
NonUnitalStarSubalgebra.toNonUnitalSemiring
Distrib.toMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalStarSubalgebra.instModule
StarMemClass.instStar
NonUnitalStarSubalgebra.instStarMemClass
instFunLike
ofLeftInverse'
NonUnitalStarSubalgebra.instStarMemClass
ofLeftInverse'_symm_apply 📖mathematicalDFunLike.coeStarAlgEquiv
NonUnitalStarSubalgebra
NonUnitalSemiring.toNonUnitalNonAssocSemiring
SetLike.instMembership
NonUnitalStarSubalgebra.instSetLike
NonUnitalStarAlgHom.range
Distrib.toAdd
NonUnitalNonAssocSemiring.toDistrib
NonUnitalStarSubalgebra.toNonUnitalSemiring
Distrib.toMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
Module.toDistribMulAction
NonUnitalStarSubalgebra.instModule
StarMemClass.instStar
NonUnitalStarSubalgebra.instStarMemClass
instFunLike
symm
ofLeftInverse'
NonUnitalStarSubalgebra.instStarMemClass

StarMemClass

Definitions

NameCategoryTheorems
instInvolutiveStar 📖CompOp
instStarAddMonoid 📖CompOp
instStarMul 📖CompOp
instStarRing 📖CompOp
1 mathmath: NonUnitalStarSubalgebra.unitization_range

Theorems

NameKindAssumesProvesValidatesDepends On
instStarModule 📖mathematicalStarModule
SetLike.instMembership
instStar
SetLike.smul
StarModule.star_smul

(root)

Definitions

NameCategoryTheorems
NonUnitalStarSubalgebra 📖CompData
138 mathmath: range_cfcₙ_nnreal, NonUnitalSubalgebra.coe_starClosure, NonUnitalStarSubalgebra.mem_carrier, NonUnitalStarSubalgebra.topologicalClosure_map_le, NonUnitalStarSubalgebra.coe_zero, NonUnitalStarSubalgebra.ofClass_carrier, NonUnitalStarSubalgebra.mem_map, NonUnitalStarSubalgebra.instSMulMemClass, StarAlgEquiv.ofLeftInverse'_apply, cfcₙHom_apply_mem_elemental, NonUnitalStarAlgebra.mem_bot, NonUnitalStarSubalgebra.centralizer_le, NonUnitalStarSubalgebra.topologicalClosure_adjoin_le_centralizer_centralizer, NonUnitalStarAlgebra.coe_bot, NonUnitalStarAlgebra.mem_top, NonUnitalSubalgebra.coe_toNonUnitalStarSubalgebra, NonUnitalStarAlgebra.elemental.isClosedEmbedding_coe, NonUnitalStarSubalgebra.instCanLiftSetCoeAndMemOfNatForallForallForallForallHAddForallForallForallForallHMulForallForallForallHSMulForallForallStar, NonUnitalStarSubalgebra.subsingleton_of_subsingleton, NonUnitalStarSubalgebra.mem_comap, NonUnitalStarSubalgebra.coe_neg, NonUnitalStarAlgebra.mem_sInf, NonUnitalSubalgebra.starClosure_le_iff, StarAlgebra.adjoin_nonUnitalStarSubalgebra, NonUnitalStarSubalgebra.instNonUnitalSubringClass, NonUnitalStarAlgHom.range_comp_le_range, NonUnitalStarAlgebra.iInf_toNonUnitalSubalgebra, NonUnitalStarAlgebra.coe_top, NonUnitalStarSubalgebra.coe_toNonUnitalSubring, NonUnitalStarAlgebra.coe_sInf, NonUnitalStarSubalgebra.instIsTopologicalSemiring, NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injective, StarAlgebra.adjoin_nonUnitalStarSubalgebra_eq_span, range_cfcₙ, NonUnitalStarSubalgebra.instIsTorsionFree, NonUnitalStarAlgebra.adjoin_mono, Unitization.starLift_range, NonUnitalStarSubalgebra.mem_toNonUnitalSubring, NonUnitalStarAlgebra.mem_iInf, NonUnitalStarSubalgebra.ext_iff, NonUnitalStarAlgebra.gc, NonUnitalStarAlgebra.subset_adjoin, NonUnitalStarSubalgebra.toNonUnitalSubalgebra_subtype, NonUnitalStarSubalgebra.range_val, NonUnitalSubalgebra.starClosure_mono, NonUnitalStarAlgebra.elemental.isClosed, NonUnitalStarAlgebra.top_toNonUnitalSubalgebra, NonUnitalSubalgebra.mem_toNonUnitalStarSubalgebra, NonUnitalStarAlgebra.range_eq_top, NonUnitalStarSubalgebra.coe_centralizer, range_cfcₙ_eq_range_cfcₙHom, ContinuousMap.adjoin_id_eq_span_one_union, NonUnitalStarSubalgebra.mem_centralizer_iff, NonUnitalStarAlgebra.elemental.self_mem, NonUnitalStarAlgebra.toNonUnitalSubalgebra_eq_top, NonUnitalStarAlgebra.star_subset_adjoin, NonUnitalSubalgebra.starClosure_le, NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass, NonUnitalStarSubalgebra.coe_map, NonUnitalStarAlgebra.elemental.le_centralizer_centralizer, NonUnitalStarSubalgebra.toNonUnitalSubalgebra_le_iff, NonUnitalStarSubalgebra.prod_inf_prod, NonUnitalStarAlgebra.comap_top, NonUnitalStarAlgebra.elemental.star_self_mem, NonUnitalStarSubalgebra.coe_eq_zero, NonUnitalStarAlgHom.mem_range_self, NonUnitalStarSubalgebra.le_topologicalClosure, NonUnitalStarAlgebra.coe_iInf, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, NonUnitalStarSubalgebra.mem_center_iff, NonUnitalStarSubalgebra.gc_map_comap, NonUnitalStarSubalgebra.coe_center, NonUnitalStarSubalgebra.instIsTopologicalRing, NonUnitalStarSubalgebra.coe_smul, NonUnitalStarAlgebra.map_bot, NonUnitalStarSubalgebra.instSMulCommClass', NonUnitalStarSubalgebra.map_injective, NonUnitalStarSubalgebra.coe_centralizer_centralizer, NonUnitalStarAlgebra.mem_adjoin_of_mem, NonUnitalStarSubalgebra.toSubring_subtype, NonUnitalStarAlgHom.mem_equalizer, cfcₙAux_mem_range_inr, ContinuousMap.adjoin_id_eq_span_one_add, NonUnitalStarAlgebra.adjoin_le_iff, NonUnitalStarAlgebra.span_eq_toSubmodule, NonUnitalStarSubalgebra.instNoZeroDivisors, NonUnitalStarAlgHom.mem_range, NonUnitalStarAlgebra.coe_inf, NonUnitalStarAlgebra.map_sup, NonUnitalStarAlgebra.adjoin_eq, Unitization.inrRangeEquiv_apply_coe, NonUnitalStarSubalgebra.coe_mul, NonUnitalStarAlgebra.range_id, StarSubalgebra.one_mem_toNonUnitalStarSubalgebra, NonUnitalStarSubalgebra.toNonUnitalSubalgebra_toNonUnitalStarSubalgebra, NonUnitalStarAlgebra.map_top, NonUnitalStarSubalgebra.coe_toNonUnitalSubalgebra, NonUnitalStarAlgebra.star_self_mem_adjoin_singleton, NonUnitalStarAlgebra.elemental.le_iff_mem, NonUnitalStarSubalgebra.coe_add, NonUnitalStarSubalgebra.center_eq_top, StarAlgEquiv.ofInjective'_apply, NonUnitalStarSubalgebra.coe_prod, NonUnitalStarAlgebra.eq_top_iff, NonUnitalStarSubalgebra.instIsScalarTower, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, NonUnitalStarAlgebra.self_mem_adjoin_singleton, NonUnitalStarAlgebra.map_inf, cfcₙ_apply_mem_elemental, Unitization.starLift_range_le, NonUnitalStarSubalgebra.map_le, NonUnitalStarSubalgebra.prod_top, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, StarAlgEquiv.ofLeftInverse'_symm_apply, NonUnitalStarAlgebra.sInf_toNonUnitalSubalgebra, NonUnitalStarSubalgebra.coe_sub, NonUnitalStarSubalgebra.map_topologicalClosure_le, NonUnitalStarAlgebra.adjoin_le_starAlgebra_adjoin, NonUnitalStarAlgebra.elemental.instCompleteSpaceSubtypeMemNonUnitalStarSubalgebra, NonUnitalStarSubalgebra.instSMulCommClass, Unitization.inrRangeEquiv_symm_apply, NonUnitalStarSubalgebra.mem_prod, NonUnitalStarSubalgebra.mem_toNonUnitalSubalgebra, NonUnitalStarSubalgebra.toNonUnitalSubring_injective, NonUnitalStarSubalgebra.inclusion_self, NonUnitalSubalgebra.mem_starClosure, NonUnitalStarSubalgebra.instIsScalarTower', NonUnitalStarAlgebra.toNonUnitalSubalgebra_bot, NonUnitalStarSubalgebra.coe_comap, NonUnitalStarAlgebra.mem_inf, NonUnitalStarSubalgebra.instStarMemClass, NonUnitalStarAlgebra.map_iInf, NonUnitalStarAlgebra.inf_toNonUnitalSubalgebra, NonUnitalStarAlgHom.coe_range, NonUnitalStarAlgebra.adjoin_le_centralizer_centralizer, NonUnitalStarSubalgebra.isClosed_topologicalClosure
NonUnitalSubalgebra 📖CompData
146 mathmath: NonUnitalSubalgebra.coe_starClosure, NonUnitalSubalgebra.center_eq_top, NonUnitalAlgebra.adjoin_le_algebra_adjoin, NonUnitalAlgebra.gc, NonUnitalSubalgebra.instCanLiftSetCoeAndMemOfNatForallForallForallForallHAddForallForallForallForallHMulForallForallForallHSMul, NonUnitalSubalgebra.instIsScalarTower', NonUnitalAlgHom.range_comp_le_range, NonUnitalAlgebra.coe_bot, NonUnitalAlgebra.span_eq_toSubmodule, NonUnitalAlgebra.coe_inf, NonUnitalAlgebra.elemental.isClosedEmbedding_coe, NonUnitalSubalgebra.topologicalClosure_map_le, NonUnitalAlgebra.sInf_toNonUnitalSubsemiring, NonUnitalAlgebra.adjoin_le_centralizer_centralizer, NonUnitalSubalgebra.toSubmodule_injective, NonUnitalSubalgebra.coe_toNonUnitalSubring, NonUnitalAlgebra.self_mem_adjoin_singleton, NonUnitalSubalgebra.prod_inf_prod, NonUnitalSubalgebra.ext_iff, NonUnitalSubalgebra.starClosure_le_iff, NonUnitalSubalgebra.prod_top, NonUnitalSubalgebra.instNonUnitalSubsemiringClass, NonUnitalAlgebra.mem_inf, NonUnitalStarAlgebra.iInf_toNonUnitalSubalgebra, NonUnitalSubalgebra.coe_toNonUnitalSubsemiring, NonUnitalSubalgebra.inclusion_self, NonUnitalSubalgebra.mem_toNonUnitalSubsemiring, NonUnitalAlgebra.subset_adjoin, NonUnitalAlgebra.range_id, NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injective, NonUnitalAlgHom.mem_range, NonUnitalAlgebra.mem_iInf, NonUnitalSubalgebra.mem_map, NonUnitalAlgHom.mem_range_self, NonUnitalSubalgebra.mem_star_iff, NonUnitalAlgebra.adjoin_le_iff, NonUnitalAlgebra.toSubmodule_bot, Algebra.adjoin_nonUnitalSubalgebra_eq_span, NonUnitalSubalgebra.noZeroDivisors, NonUnitalSubalgebra.coe_sub, NonUnitalSubalgebra.toNonUnitalSubring_injective, NonUnitalSubalgebra.toSubring_subtype, NonUnitalSubalgebra.coe_zero, NonUnitalAlgebra.top_toNonUnitalSubsemiring, NonUnitalSubalgebra.starClosure_mono, NonUnitalStarAlgebra.top_toNonUnitalSubalgebra, NonUnitalAlgebra.elemental.isClosed, NonUnitalSubalgebra.instSMulCommClass, NonUnitalSubalgebra.map_le, NonUnitalSubalgebra.le_topologicalClosure, NonUnitalSubalgebra.mem_comap, NonUnitalAlgebra.map_sup, NonUnitalAlgebra.eq_top_iff, NonUnitalSubalgebra.starClosure_eq_adjoin, NonUnitalSubalgebra.mem_centralizer_iff, NonUnitalSubalgebra.coe_comap, NonUnitalAlgebra.coe_iInf, Unitization.lift_range, NonUnitalAlgebra.mem_top, NonUnitalStarAlgebra.toNonUnitalSubalgebra_eq_top, NonUnitalSubalgebra.centralizer_le, NonUnitalAlgHom.coe_range, NonUnitalSubalgebra.gc_map_comap, NonUnitalSubalgebra.mem_center_iff, NonUnitalSubalgebra.coe_map, NonUnitalAlgebra.elemental.instCompleteSpaceSubtypeMemNonUnitalSubalgebra, NonUnitalAlgebra.adjoin_univ, NonUnitalSubalgebra.coe_star, NonUnitalSubalgebra.instSMulMemClass, Algebra.adjoin_nonUnitalSubalgebra, NonUnitalStarSubalgebra.toNonUnitalSubalgebra_le_iff, NonUnitalSubalgebra.ofClass_carrier, NonUnitalSubalgebra.topologicalClosure_adjoin_le_centralizer_centralizer, NonUnitalSubalgebra.instIsTopologicalRing, NonUnitalAlgebra.map_iInf, NonUnitalSubalgebra.instSMulCommClass', NonUnitalSubalgebra.isClosed_topologicalClosure, NonUnitalSubalgebra.mem_carrier, NonUnitalSubalgebra.map_topologicalClosure_le, NonUnitalSubalgebra.coe_centralizer, NonUnitalSubalgebra.coe_center, NonUnitalSubalgebra.star_mono, NonUnitalAlgebra.toSubmodule_eq_top, NonUnitalAlgebra.adjoin_empty, NonUnitalSubalgebra.toSubmodule_toNonUnitalSubalgebra, NonUnitalSubalgebra.coe_prod, NonUnitalAlgebra.elemental.le_centralizer_centralizer, NonUnitalAlgebra.coe_top, NonUnitalAlgebra.map_top, NonUnitalAlgebra.to_subring_eq_top, NonUnitalAlgebra.toNonUnitalSubring_eq_top, NonUnitalSubalgebra.toNonUnitalSubsemiring_injective, NonUnitalAlgebra.inf_toSubmodule, NonUnitalSubalgebra.instIsTorsionFree, NonUnitalSubalgebra.coe_smul, NonUnitalAlgebra.mem_sInf, NonUnitalAlgebra.comap_top, NonUnitalStarSubalgebra.coe_toNonUnitalSubalgebra, Unitization.lift_range_le, NonUnitalSubalgebra.instIsTopologicalSemiring, NonUnitalSubalgebra.toNonUnitalSubsemiring_subtype, NonUnitalSubalgebra.coe_neg, NonUnitalAlgebra.map_bot, NonUnitalSubalgebra.instNonUnitalSubringClass, Submodule.coe_toNonUnitalSubalgebra, NonUnitalSubalgebra.instIsScalarTowerSubtypeMem, NonUnitalAlgebra.elemental.le_iff_mem, NonUnitalAlgebra.coe_sInf, NonUnitalSubalgebra.map_injective, mem_nonUnitalSubalgebraOfNonUnitalSubsemiring, NonUnitalAlgebra.range_eq_top, NonUnitalAlgebra.elemental.self_mem, NonUnitalSubalgebra.mem_toSubmodule, NonUnitalAlgebra.top_toSubring, NonUnitalAlgebra.mem_bot, NonUnitalStarAlgebra.sInf_toNonUnitalSubalgebra, NonUnitalAlgebra.top_toSubmodule, NonUnitalAlgebra.adjoin_eq, mem_nonUnitalSubalgebraOfNonUnitalSubring, NonUnitalSubalgebra.starClosure_toNonUnitalSubalgebra, NonUnitalSubalgebra.coe_mul, NonUnitalSubalgebra.subsingleton_of_subsingleton, NonUnitalAlgebra.sInf_toSubmodule, NonUnitalAlgHom.mem_equalizer, NonUnitalSubalgebra.coe_toSubmodule, NonUnitalAlgebra.toNonUnitalSubring_top, NonUnitalAlgebra.adjoin_union, NonUnitalAlgebra.mem_adjoin_of_mem, NonUnitalSubalgebra.mem_toNonUnitalSubring, NonUnitalSubalgebra.coe_eq_zero, NonUnitalStarSubalgebra.mem_toNonUnitalSubalgebra, NonUnitalAlgebra.inf_toNonUnitalSubsemiring, NonUnitalSubalgebra.mem_prod, NonUnitalAlgebra.toNonUnitalSubsemiring_eq_top, NonUnitalSubalgebra.mem_starClosure, Subalgebra.one_mem_toNonUnitalSubalgebra, NonUnitalSubalgebra.coe_add, NonUnitalStarAlgebra.toNonUnitalSubalgebra_bot, NonUnitalAlgebra.map_inf, NonUnitalSubalgebra.range_val, NonUnitalAlgebra.iInf_toSubmodule, NonUnitalAlgebra.adjoin_mono, NonUnitalStarAlgebra.inf_toNonUnitalSubalgebra, Submodule.mem_toNonUnitalSubalgebra, NonUnitalSubalgebra.star_mem_star_iff, NonUnitalSubalgebra.star_adjoin_comm

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