Documentation Verification Report

FundamentalDomain

πŸ“ Source: Mathlib/MeasureTheory/Group/FundamentalDomain.lean

Statistics

MetricCount
DefinitionsAddQuotientMeasureEqMeasurePreimage, HasAddFundamentalDomain, HasFundamentalDomain, IsAddFundamentalDomain, IsFundamentalDomain, QuotientMeasureEqMeasurePreimage, addCovolume, addFundamentalFrontier, addFundamentalInterior, covolume, fundamentalFrontier, fundamentalInterior
12
TheoremsaddProjection_respects_measure', covolume_ne_top, isFiniteMeasure_quotient, sigmaFiniteQuotient, unique, ExistsIsAddFundamentalDomain, ExistsIsFundamentalDomain, addProjection_respects_measure, addProjection_respects_measure_apply, addQuotientMeasureEqMeasurePreimage, addQuotientMeasureEqMeasurePreimage_addQuotientMeasure, addQuotientMeasureEqMeasurePreimage_of_zero, addQuotientMeasure_eq, ae_covers, aedisjoint, aestronglyMeasurable_on_iff, covolume_eq_volume, essSup_measure_restrict, exists_ne_zero_vadd_eq, hasAddFundamentalDomain, hasFiniteIntegral_on_iff, iUnion_vadd_ae_eq, image_of_equiv, integrableOn_iff, integral_eq_tsum, integral_eq_tsum', integral_eq_tsum'', integral_eq_tsum_of_ac, lintegral_eq_tsum, lintegral_eq_tsum', lintegral_eq_tsum'', lintegral_eq_tsum_of_ac, measurePreserving_add_quotient_mk, measure_addFundamentalFrontier, measure_addFundamentalInterior, measure_eq, measure_eq_card_smul_of_vadd_ae_eq_self, measure_eq_tsum, measure_eq_tsum', measure_eq_tsum_of_ac, measure_le_of_pairwise_disjoint, measure_ne_zero, measure_set_eq, measure_zero_of_invariant, mk', mk'', mk_of_measure_univ_le, mono, nullMeasurableSet, nullMeasurableSet_vadd, pairwise_aedisjoint_of_ac, preimage_of_equiv, restrict_restrict, setIntegral_eq, setIntegral_eq_tsum, setIntegral_eq_tsum', setLIntegral_eq, setLIntegral_eq_tsum, setLIntegral_eq_tsum', sum_restrict, sum_restrict_of_ac, vadd, vadd_of_comm, ae_covers, aedisjoint, aestronglyMeasurable_on_iff, covolume_eq_volume, essSup_measure_restrict, exists_ne_one_smul_eq, fundamentalInterior, hasFiniteIntegral_on_iff, hasFundamentalDomain, iUnion_smul_ae_eq, image_of_equiv, integrableOn_iff, integral_eq_tsum, integral_eq_tsum', integral_eq_tsum'', integral_eq_tsum_of_ac, lintegral_eq_tsum, lintegral_eq_tsum', lintegral_eq_tsum'', lintegral_eq_tsum_of_ac, measurePreserving_quotient_mk, measure_eq, measure_eq_card_smul_of_smul_ae_eq_self, measure_eq_tsum, measure_eq_tsum', measure_eq_tsum_of_ac, measure_fundamentalFrontier, measure_fundamentalInterior, measure_le_of_pairwise_disjoint, measure_ne_zero, measure_set_eq, measure_zero_of_invariant, mk', mk'', mk_of_measure_univ_le, mono, nullMeasurableSet, nullMeasurableSet_smul, pairwise_aedisjoint_of_ac, preimage_of_equiv, projection_respects_measure, projection_respects_measure_apply, quotientMeasureEqMeasurePreimage, quotientMeasureEqMeasurePreimage_of_zero, quotientMeasureEqMeasurePreimage_quotientMeasure, quotientMeasure_eq, restrict_restrict, setIntegral_eq, setIntegral_eq_tsum, setIntegral_eq_tsum', setLIntegral_eq, setLIntegral_eq_tsum, setLIntegral_eq_tsum', smul, smul_of_comm, sum_restrict, sum_restrict_of_ac, addFundamentalFrontier, addFundamentalInterior, fundamentalFrontier, fundamentalInterior, covolume_ne_top, isFiniteMeasure_quotient, projection_respects_measure', sigmaFiniteQuotient, unique, addFundamentalFrontier_subset, addFundamentalFrontier_union_addFundamentalInterior, addFundamentalFrontier_vadd, addFundamentalInterior_subset, addFundamentalInterior_union_addFundamentalFrontier, addFundamentalInterior_vadd, addMeasure_map_restrict_apply, disjoint_addFundamentalInterior_addFundamentalFrontier, disjoint_fundamentalInterior_fundamentalFrontier, fundamentalFrontier_smul, fundamentalFrontier_subset, fundamentalFrontier_union_fundamentalInterior, fundamentalInterior_smul, fundamentalInterior_subset, fundamentalInterior_union_fundamentalFrontier, instSigmaFiniteAddQuotientOrbitRelInstMeasurableSpaceToMeasurableSpace, instSigmaFiniteQuotientOrbitRelOfHasFundamentalDomainOfQuotientMeasureEqMeasurePreimageVolume, measure_map_restrict_apply, mem_addFundamentalFrontier, mem_addFundamentalInterior, mem_fundamentalFrontier, mem_fundamentalInterior, pairwise_disjoint_addFundamentalInterior, pairwise_disjoint_fundamentalInterior, sdiff_addFundamentalFrontier, sdiff_addFundamentalInterior, sdiff_fundamentalFrontier, sdiff_fundamentalInterior
157
Total169

MeasureTheory

Definitions

NameCategoryTheorems
AddQuotientMeasureEqMeasurePreimage πŸ“–CompData
8 mathmath: IsAddFundamentalDomain.addQuotientMeasureEqMeasurePreimage, Measure.IsAddLeftInvariant.addQuotientMeasureEqMeasurePreimage_of_set, IsAddFundamentalDomain.addQuotientMeasureEqMeasurePreimage_of_zero, IsFundamentalDomain.AddQuotientMeasureEqMeasurePreimage_AddHaarMeasure, AddCircle.instAddQuotientMeasureEqMeasurePreimageSubtypeAddOppositeRealMemAddSubgroupOpZmultiplesVolume, IsAddFundamentalDomain.addQuotientMeasureEqMeasurePreimage_addQuotientMeasure, leftInvariantIsAddQuotientMeasureEqMeasurePreimage, IsFundamentalDomain.AddQuotientMeasureEqMeasurePreimage_vaddAddHaarMeasure
HasAddFundamentalDomain πŸ“–CompData
2 mathmath: IsAddFundamentalDomain.hasAddFundamentalDomain, AddCircle.instHasAddFundamentalDomainSubtypeAddOppositeRealMemAddSubgroupOpZmultiples
HasFundamentalDomain πŸ“–CompData
1 mathmath: IsFundamentalDomain.hasFundamentalDomain
IsAddFundamentalDomain πŸ“–CompData
12 mathmath: NumberField.mixedEmbedding.fundamentalDomain_integerLattice, IsAddFundamentalDomain.mk_of_measure_univ_le, AddCircle.isAddFundamentalDomain_of_ae_ball, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, isAddFundamentalDomain_Ioc, ZSpan.isAddFundamentalDomain', IsAddFundamentalDomain.mk', ZSpan.isAddFundamentalDomain, HasAddFundamentalDomain.ExistsIsAddFundamentalDomain, ZLattice.isAddFundamentalDomain, IsAddFundamentalDomain.mk'', isAddFundamentalDomain_Ioc'
IsFundamentalDomain πŸ“–CompData
4 mathmath: IsFundamentalDomain.mk'', HasFundamentalDomain.ExistsIsFundamentalDomain, IsFundamentalDomain.mk_of_measure_univ_le, IsFundamentalDomain.mk'
QuotientMeasureEqMeasurePreimage πŸ“–CompData
7 mathmath: IsFundamentalDomain.quotientMeasureEqMeasurePreimage_of_zero, Measure.IsMulLeftInvariant.quotientMeasureEqMeasurePreimage_of_set, IsFundamentalDomain.quotientMeasureEqMeasurePreimage, IsFundamentalDomain.QuotientMeasureEqMeasurePreimage_HaarMeasure, IsFundamentalDomain.QuotientMeasureEqMeasurePreimage_smulHaarMeasure, IsFundamentalDomain.quotientMeasureEqMeasurePreimage_quotientMeasure, leftInvariantIsQuotientMeasureEqMeasurePreimage
addCovolume πŸ“–CompOp
2 mathmath: IsAddFundamentalDomain.covolume_eq_volume, AddQuotientMeasureEqMeasurePreimage.covolume_ne_top
addFundamentalFrontier πŸ“–CompOp
10 mathmath: sdiff_addFundamentalInterior, mem_addFundamentalFrontier, disjoint_addFundamentalInterior_addFundamentalFrontier, NullMeasurableSet.addFundamentalFrontier, addFundamentalInterior_union_addFundamentalFrontier, sdiff_addFundamentalFrontier, IsAddFundamentalDomain.measure_addFundamentalFrontier, addFundamentalFrontier_union_addFundamentalInterior, addFundamentalFrontier_vadd, addFundamentalFrontier_subset
addFundamentalInterior πŸ“–CompOp
11 mathmath: IsAddFundamentalDomain.measure_addFundamentalInterior, sdiff_addFundamentalInterior, disjoint_addFundamentalInterior_addFundamentalFrontier, mem_addFundamentalInterior, NullMeasurableSet.addFundamentalInterior, addFundamentalInterior_union_addFundamentalFrontier, addFundamentalInterior_subset, sdiff_addFundamentalFrontier, addFundamentalFrontier_union_addFundamentalInterior, pairwise_disjoint_addFundamentalInterior, addFundamentalInterior_vadd
covolume πŸ“–CompOp
2 mathmath: IsFundamentalDomain.covolume_eq_volume, QuotientMeasureEqMeasurePreimage.covolume_ne_top
fundamentalFrontier πŸ“–CompOp
10 mathmath: mem_fundamentalFrontier, fundamentalFrontier_smul, sdiff_fundamentalInterior, disjoint_fundamentalInterior_fundamentalFrontier, NullMeasurableSet.fundamentalFrontier, fundamentalFrontier_subset, sdiff_fundamentalFrontier, fundamentalFrontier_union_fundamentalInterior, IsFundamentalDomain.measure_fundamentalFrontier, fundamentalInterior_union_fundamentalFrontier
fundamentalInterior πŸ“–CompOp
12 mathmath: pairwise_disjoint_fundamentalInterior, mem_fundamentalInterior, sdiff_fundamentalInterior, disjoint_fundamentalInterior_fundamentalFrontier, fundamentalInterior_subset, sdiff_fundamentalFrontier, fundamentalFrontier_union_fundamentalInterior, NullMeasurableSet.fundamentalInterior, IsFundamentalDomain.fundamentalInterior, IsFundamentalDomain.measure_fundamentalInterior, fundamentalInterior_union_fundamentalFrontier, fundamentalInterior_smul

Theorems

NameKindAssumesProvesValidatesDepends On
addFundamentalFrontier_subset πŸ“–mathematicalβ€”Set
Set.instHasSubset
addFundamentalFrontier
β€”Set.inter_subset_left
addFundamentalFrontier_union_addFundamentalInterior πŸ“–mathematicalβ€”Set
Set.instUnion
addFundamentalFrontier
addFundamentalInterior
β€”Set.inter_union_diff
addFundamentalFrontier_vadd πŸ“–mathematicalβ€”addFundamentalFrontier
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
β€”Set.vadd_set_inter
Set.vadd_set_iUnion
Set.iUnion_congr_Prop
VAddCommClass.vadd_comm
Set.vaddCommClass_set
addFundamentalInterior_subset πŸ“–mathematicalβ€”Set
Set.instHasSubset
addFundamentalInterior
β€”Set.diff_subset
addFundamentalInterior_union_addFundamentalFrontier πŸ“–mathematicalβ€”Set
Set.instUnion
addFundamentalInterior
addFundamentalFrontier
β€”Set.diff_union_inter
addFundamentalInterior_vadd πŸ“–mathematicalβ€”addFundamentalInterior
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
β€”Set.vadd_set_sdiff
Set.vadd_set_iUnion
Set.iUnion_congr_Prop
VAddCommClass.vadd_comm
Set.vaddCommClass_set
addMeasure_map_restrict_apply πŸ“–mathematicalMeasurableSet
AddAction.orbitRel
Quotient.instMeasurableSpace
DFunLike.coe
Measure
Set
ENNReal
Measure.instFunLike
Measure.map
Measure.restrict
Set.instInter
Set.preimage
β€”Measure.map_apply
measurableSet_quotient
Measure.restrict_apply
disjoint_addFundamentalInterior_addFundamentalFrontier πŸ“–mathematicalβ€”Disjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
addFundamentalInterior
addFundamentalFrontier
β€”Disjoint.mono_right
inf_le_right
disjoint_sdiff_self_left
disjoint_fundamentalInterior_fundamentalFrontier πŸ“–mathematicalβ€”Disjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
fundamentalInterior
fundamentalFrontier
β€”Disjoint.mono_right
inf_le_right
disjoint_sdiff_self_left
fundamentalFrontier_smul πŸ“–mathematicalβ€”fundamentalFrontier
Set
Set.smulSet
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
β€”Set.smul_set_inter
Set.smul_set_iUnion
Set.iUnion_congr_Prop
SMulCommClass.smul_comm
Set.smulCommClass_set
fundamentalFrontier_subset πŸ“–mathematicalβ€”Set
Set.instHasSubset
fundamentalFrontier
β€”Set.inter_subset_left
fundamentalFrontier_union_fundamentalInterior πŸ“–mathematicalβ€”Set
Set.instUnion
fundamentalFrontier
fundamentalInterior
β€”Set.inter_union_diff
fundamentalInterior_smul πŸ“–mathematicalβ€”fundamentalInterior
Set
Set.smulSet
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
β€”Set.smul_set_sdiff
Set.smul_set_iUnion
Set.iUnion_congr_Prop
SMulCommClass.smul_comm
Set.smulCommClass_set
fundamentalInterior_subset πŸ“–mathematicalβ€”Set
Set.instHasSubset
fundamentalInterior
β€”Set.diff_subset
fundamentalInterior_union_fundamentalFrontier πŸ“–mathematicalβ€”Set
Set.instUnion
fundamentalInterior
fundamentalFrontier
β€”Set.diff_union_inter
instSigmaFiniteAddQuotientOrbitRelInstMeasurableSpaceToMeasurableSpace πŸ“–mathematicalβ€”SigmaFinite
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureSpace.toMeasurableSpace
β€”AddQuotientMeasureEqMeasurePreimage.sigmaFiniteQuotient
instSigmaFiniteQuotientOrbitRelOfHasFundamentalDomainOfQuotientMeasureEqMeasurePreimageVolume πŸ“–mathematicalβ€”SigmaFinite
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureSpace.toMeasurableSpace
β€”QuotientMeasureEqMeasurePreimage.sigmaFiniteQuotient
measure_map_restrict_apply πŸ“–mathematicalMeasurableSet
MulAction.orbitRel
Quotient.instMeasurableSpace
DFunLike.coe
Measure
Set
ENNReal
Measure.instFunLike
Measure.map
Measure.restrict
Set.instInter
Set.preimage
β€”Measure.map_apply
measurableSet_quotient
Measure.restrict_apply
mem_addFundamentalFrontier πŸ“–mathematicalβ€”Set
Set.instMembership
addFundamentalFrontier
HVAdd.hVAdd
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
β€”Set.mem_inter_iff
Set.mem_iUnion
mem_addFundamentalInterior πŸ“–mathematicalβ€”Set
Set.instMembership
addFundamentalInterior
HVAdd.hVAdd
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
β€”Set.mem_diff
Set.mem_iUnion
mem_fundamentalFrontier πŸ“–mathematicalβ€”Set
Set.instMembership
fundamentalFrontier
Set.smulSet
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
β€”β€”
mem_fundamentalInterior πŸ“–mathematicalβ€”Set
Set.instMembership
fundamentalInterior
Set.smulSet
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
β€”β€”
pairwise_disjoint_addFundamentalInterior πŸ“–mathematicalβ€”Pairwise
Function.onFun
Set
Disjoint
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
HVAdd.hVAdd
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
addFundamentalInterior
β€”Set.disjoint_left
mem_addFundamentalInterior
neg_add_eq_iff_eq_add
add_zero
AddSemigroupAction.add_vadd
Set.mem_neg_vadd_set_iff
Set.vadd_mem_vadd_set_iff
pairwise_disjoint_fundamentalInterior πŸ“–mathematicalβ€”Pairwise
Function.onFun
Set
Disjoint
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.smulSet
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
fundamentalInterior
β€”Set.disjoint_left
mem_fundamentalInterior
inv_mul_eq_iff_eq_mul
mul_one
SemigroupAction.mul_smul
sdiff_addFundamentalFrontier πŸ“–mathematicalβ€”Set
Set.instSDiff
addFundamentalFrontier
addFundamentalInterior
β€”Set.diff_self_inter
sdiff_addFundamentalInterior πŸ“–mathematicalβ€”Set
Set.instSDiff
addFundamentalInterior
addFundamentalFrontier
β€”sdiff_sdiff_right_self
sdiff_fundamentalFrontier πŸ“–mathematicalβ€”Set
Set.instSDiff
fundamentalFrontier
fundamentalInterior
β€”Set.diff_self_inter
sdiff_fundamentalInterior πŸ“–mathematicalβ€”Set
Set.instSDiff
fundamentalInterior
fundamentalFrontier
β€”sdiff_sdiff_right_self

MeasureTheory.AddQuotientMeasureEqMeasurePreimage

Theorems

NameKindAssumesProvesValidatesDepends On
addProjection_respects_measure' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.map
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”β€”
covolume_ne_top πŸ“–mathematicalβ€”ENNReal
Preorder.toLT
PartialOrder.toPreorder
ENNReal.instPartialOrder
MeasureTheory.addCovolume
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
Top.top
instTopENNReal
β€”MeasureTheory.HasAddFundamentalDomain.ExistsIsAddFundamentalDomain
MeasureTheory.IsFiniteMeasure.measure_univ_lt_top
MeasureTheory.IsAddFundamentalDomain.covolume_eq_volume
Set.univ_inter
MeasureTheory.IsAddFundamentalDomain.addProjection_respects_measure_apply
MeasurableSet.univ
ENNReal.zero_lt_top
isFiniteMeasure_quotient πŸ“–mathematicalβ€”MeasureTheory.IsFiniteMeasure
AddAction.orbitRel
Quotient.instMeasurableSpace
β€”MeasureTheory.HasAddFundamentalDomain.ExistsIsAddFundamentalDomain
MeasureTheory.IsAddFundamentalDomain.addProjection_respects_measure
MeasureTheory.IsAddFundamentalDomain.covolume_eq_volume
Ne.lt_top
MeasureTheory.Measure.isFiniteMeasure_map
MeasureTheory.Restrict.isFiniteMeasure
sigmaFiniteQuotient πŸ“–mathematicalβ€”MeasureTheory.SigmaFinite
AddAction.orbitRel
Quotient.instMeasurableSpace
β€”MeasureTheory.sigmaFinite_iff
Set.mem_univ
AddAction.quotient_preimage_image_eq_union_add
measurableSet_quotient
MeasurableSet.iUnion
MeasurableSet.const_vadd
MeasureTheory.IsAddFundamentalDomain.addProjection_respects_measure_apply
Set.iUnion_inter
lt_of_le_of_lt
MeasureTheory.IsAddFundamentalDomain.measure_eq_tsum
MeasureTheory.measure_iUnion_le
MeasureTheory.Measure.instOuterMeasureClass
Set.image_iUnion
Set.image_univ_of_surjective
Quotient.mk'_surjective
unique πŸ“–β€”β€”β€”β€”MeasureTheory.HasAddFundamentalDomain.ExistsIsAddFundamentalDomain
MeasureTheory.IsAddFundamentalDomain.addProjection_respects_measure

MeasureTheory.HasAddFundamentalDomain

Theorems

NameKindAssumesProvesValidatesDepends On
ExistsIsAddFundamentalDomain πŸ“–mathematicalβ€”MeasureTheory.IsAddFundamentalDomainβ€”β€”

MeasureTheory.HasFundamentalDomain

Theorems

NameKindAssumesProvesValidatesDepends On
ExistsIsFundamentalDomain πŸ“–mathematicalβ€”MeasureTheory.IsFundamentalDomainβ€”β€”

MeasureTheory.IsAddFundamentalDomain

Theorems

NameKindAssumesProvesValidatesDepends On
addProjection_respects_measure πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.map
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”MeasureTheory.AddQuotientMeasureEqMeasurePreimage.addProjection_respects_measure'
addProjection_respects_measure_apply πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasurableSet
AddAction.orbitRel
Quotient.instMeasurableSpace
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
Set.instInter
Set.preimage
β€”addProjection_respects_measure
MeasureTheory.addMeasure_map_restrict_apply
addQuotientMeasureEqMeasurePreimage πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.map
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
MeasureTheory.AddQuotientMeasureEqMeasurePreimageβ€”addQuotientMeasureEqMeasurePreimage_addQuotientMeasure
addQuotientMeasureEqMeasurePreimage_addQuotientMeasure πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.AddQuotientMeasureEqMeasurePreimage
MeasureTheory.Measure.map
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”addQuotientMeasure_eq
addQuotientMeasureEqMeasurePreimage_of_zero πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
instZeroENNReal
MeasureTheory.AddQuotientMeasureEqMeasurePreimage
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.instZero
β€”addQuotientMeasureEqMeasurePreimage
MeasureTheory.Measure.ext
MeasureTheory.addMeasure_map_restrict_apply
MeasureTheory.measure_inter_null_of_null_right
addQuotientMeasure_eq πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.map
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”MeasureTheory.Measure.ext
MeasureTheory.addMeasure_map_restrict_apply
measure_set_eq
measurableSet_quotient
Set.ext
Set.mem_preimage
ae_covers πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomainFilter.Eventually
Set
Set.instMembership
HVAdd.hVAdd
instHVAdd
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
β€”β€”
aedisjoint πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomainPairwise
Function.onFun
Set
MeasureTheory.AEDisjoint
HVAdd.hVAdd
instHVAdd
Set.vaddSet
β€”β€”
aestronglyMeasurable_on_iff πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
instHVAdd
MeasureTheory.AEStronglyMeasurable
MeasureTheory.Measure.restrict
β€”restrict_restrict
sum_restrict_of_ac
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
Set.inter_comm
aestronglyMeasurable_sum_measure_iff
Set.vadd_set_inter
vadd_neg_vadd
Function.Surjective.forall
neg_surjective
neg_neg
measurableEmbedding_const_vadd
Set.image_vadd
MeasureTheory.MeasurePreserving.aestronglyMeasurable_comp_iff
MeasureTheory.MeasurePreserving.restrict_image_emb
MeasureTheory.measurePreserving_vadd
covolume_eq_volume πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.addCovolume
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
β€”MeasureTheory.HasAddFundamentalDomain.ExistsIsAddFundamentalDomain
hasAddFundamentalDomain
measure_eq
essSup_measure_restrict πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
instHVAdd
essSup
ENNReal
ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice
ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder
CompleteLinearOrder.toConditionallyCompleteLinearOrderBot
ENNReal.instCompleteLinearOrder
MeasureTheory.Measure.restrict
β€”le_antisymm
essSup_mono_measure'
MeasureTheory.Measure.restrict_le_self
essSup_eq_sInf
sInf_le_sInf
measure_zero_of_invariant
Set.ext
Set.mem_vadd_set_iff_neg_vadd_mem
MeasureTheory.Measure.restrict_applyβ‚€'
nullMeasurableSet
exists_ne_zero_vadd_eq πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.NullMeasurableSet
ENNReal
Preorder.toLT
PartialOrder.toPreorder
ENNReal.instPartialOrder
DFunLike.coe
MeasureTheory.Measure
Set
MeasureTheory.Measure.instFunLike
Set.instMembership
HVAdd.hVAdd
instHVAdd
β€”Mathlib.Tactic.Contrapose.contrapose₁
Mathlib.Tactic.Push.not_exists
Mathlib.Tactic.Push.not_and_eq
not_lt
measure_le_of_pairwise_disjoint
Pairwise.aedisjoint
Disjoint.inf_right
Disjoint.inf_left
Set.disjoint_left
neg_add_eq_zero
AddSemigroupAction.add_vadd
neg_vadd_vadd
hasAddFundamentalDomain πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.HasAddFundamentalDomainβ€”β€”
hasFiniteIntegral_on_iff πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
instHVAdd
MeasureTheory.HasFiniteIntegral
ContinuousENorm.toENorm
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddGroup.toPseudoMetricSpace
SeminormedAddCommGroup.toSeminormedAddGroup
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
MeasureTheory.Measure.restrict
β€”setLIntegral_eq
iUnion_vadd_ae_eq πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
Filter.EventuallyEq
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
Set.iUnion
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
Set.univ
β€”MeasureTheory.Measure.instOuterMeasureClass
Filter.eventuallyEq_univ
Filter.Eventually.mono
ae_covers
Set.mem_iUnion
neg_vadd_vadd
image_of_equiv πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.QuasiMeasurePreserving
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
Equiv.symm
Function.Semiconj
HVAdd.hVAdd
instHVAdd
Set.imageβ€”Equiv.image_eq_preimage_symm
preimage_of_equiv
Equiv.bijective
Equiv.surjective
Equiv.symm_apply_apply
Equiv.apply_symm_apply
integrableOn_iff πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
instHVAdd
MeasureTheory.IntegrableOn
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
β€”aestronglyMeasurable_on_iff
PseudoEMetricSpace.pseudoMetrizableSpace
hasFiniteIntegral_on_iff
integral_eq_tsum πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”integral_eq_tsum_of_ac
MeasureTheory.Measure.AbsolutelyContinuous.refl
integral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
HVAdd.hVAdd
instHVAdd
NegZeroClass.toNeg
SummationFilter.unconditional
β€”integral_eq_tsum
Equiv.tsum_eq
tsum_congr
MeasureTheory.MeasurePreserving.setIntegral_image_emb
MeasureTheory.measurePreserving_vadd
measurableEmbedding_const_vadd
integral_eq_tsum'' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
HVAdd.hVAdd
instHVAdd
SummationFilter.unconditional
β€”integral_eq_tsum'
Equiv.tsum_eq
integral_eq_tsum_of_ac πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”MeasureTheory.integral_sum_measure
sum_restrict_of_ac
lintegral_eq_tsum πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”lintegral_eq_tsum_of_ac
refl
MeasureTheory.Measure.AbsolutelyContinuous.instRefl
lintegral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
HVAdd.hVAdd
instHVAdd
NegZeroClass.toNeg
SummationFilter.unconditional
β€”lintegral_eq_tsum
Equiv.tsum_eq
tsum_congr
MeasureTheory.MeasurePreserving.setLIntegral_comp_emb
MeasureTheory.measurePreserving_vadd
measurableEmbedding_const_vadd
lintegral_eq_tsum'' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
HVAdd.hVAdd
instHVAdd
SummationFilter.unconditional
β€”lintegral_eq_tsum'
Equiv.tsum_eq
lintegral_eq_tsum_of_ac πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”MeasureTheory.lintegral_sum_measure
sum_restrict_of_ac
measurePreserving_add_quotient_mk πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.MeasurePreserving
AddAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”measurable_quotient_mk'
addProjection_respects_measure
measure_addFundamentalFrontier πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
MeasureTheory.addFundamentalFrontier
instZeroENNReal
β€”Set.inter_comm
Set.iUnionβ‚‚_inter
MeasureTheory.measure_iUnion_null_iff
MeasureTheory.Measure.instOuterMeasureClass
Prop.countable
zero_vadd
aedisjoint
measure_addFundamentalInterior πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
MeasureTheory.addFundamentalInterior
β€”MeasureTheory.measure_diff_null'
measure_addFundamentalFrontier
measure_eq πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
β€”MeasureTheory.setLIntegral_one
setLIntegral_eq
measure_eq_card_smul_of_vadd_ae_eq_self πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
Filter.EventuallyEq
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
DFunLike.coe
ENNReal
AddMonoid.toNatSMul
ESeminormedAddMonoid.toAddMonoid
ENNReal.instTopologicalSpace
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
instENormedAddCommMonoidENNReal
Nat.card
Set.instInter
β€”MeasureTheory.Measure.instOuterMeasureClass
measure_eq_tsum
MeasureTheory.ae_eq_set_inter
MeasureTheory.ae_eq_refl
MeasureTheory.measure_congr
tsum_fintype
SummationFilter.instLeAtTopUnconditional
Finset.sum_const
Nat.card_eq_fintype_card
measure_eq_tsum πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”MeasureTheory.setLIntegral_one
setLIntegral_eq_tsum'
measure_eq_tsum' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”measure_eq_tsum_of_ac
MeasureTheory.Measure.AbsolutelyContinuous.rfl
measure_eq_tsum_of_ac πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”MeasureTheory.Measure.AbsolutelyContinuous.trans
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
MeasureTheory.setLIntegral_one
MeasureTheory.Measure.restrict_applyβ‚€
MeasureTheory.NullMeasurableSet.mono_ac
nullMeasurableSet_vadd
Set.inter_comm
lintegral_eq_tsum_of_ac
measure_le_of_pairwise_disjoint πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.NullMeasurableSet
Pairwise
Function.onFun
Set
MeasureTheory.AEDisjoint
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
ENNReal
Preorder.toLE
PartialOrder.toPreorder
ENNReal.instPartialOrder
DFunLike.coe
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
β€”measure_eq_tsum
MeasureTheory.measure_iUnionβ‚€
MeasureTheory.NullMeasurableSet.inter
MeasureTheory.NullMeasurableSet.vadd
nullMeasurableSet
MeasureTheory.measure_mono
MeasureTheory.Measure.instOuterMeasureClass
Set.iUnion_subset
Set.inter_subset_right
measure_ne_zero πŸ“–β€”MeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
β€”β€”MeasureTheory.Measure.measure_univ_pos
Mathlib.Tactic.Contrapose.contrapose₃
not_lt
MeasureTheory.measure_congr
MeasureTheory.Measure.instOuterMeasureClass
iUnion_vadd_ae_eq
le_trans
MeasureTheory.measure_iUnion_le
MeasureTheory.measure_vadd
tsum_zero
le_refl
measure_set_eq πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasurableSet
Set.preimage
HVAdd.hVAdd
instHVAdd
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
Set.instInter
β€”setLIntegral_eq
Set.indicator_comp_right
MeasureTheory.lintegral_indicator
MeasureTheory.lintegral_const
MeasureTheory.Measure.restrict_apply
MeasurableSet.univ
Set.univ_inter
one_mul
measure_zero_of_invariant πŸ“–β€”MeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
DFunLike.coe
MeasureTheory.Measure
ENNReal
MeasureTheory.Measure.instFunLike
Set.instInter
instZeroENNReal
β€”β€”measure_eq_tsum
tsum_zero
mk' πŸ“–mathematicalMeasureTheory.NullMeasurableSet
ExistsUnique
Set
Set.instMembership
HVAdd.hVAdd
instHVAdd
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
β€”Filter.Eventually.of_forall
MeasureTheory.Measure.instOuterMeasureClass
ExistsUnique.exists
Disjoint.aedisjoint
Set.disjoint_left
neg_injective
ExistsUnique.unique
Set.mem_vadd_set_iff_neg_vadd_mem
mk'' πŸ“–mathematicalMeasureTheory.NullMeasurableSet
Filter.Eventually
Set
Set.instMembership
HVAdd.hVAdd
instHVAdd
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.AEDisjoint
Set.vaddSet
MeasureTheory.Measure.QuasiMeasurePreserving
MeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
β€”MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.Measure.pairwise_aedisjoint_of_aedisjoint_forall_ne_zero
mk_of_measure_univ_le πŸ“–mathematicalMeasureTheory.NullMeasurableSet
MeasureTheory.AEDisjoint
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.QuasiMeasurePreserving
ENNReal
Preorder.toLE
PartialOrder.toPreorder
ENNReal.instPartialOrder
DFunLike.coe
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
Set.univ
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
SummationFilter.unconditional
MeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
β€”MeasureTheory.Measure.pairwise_aedisjoint_of_aedisjoint_forall_ne_zero
neg_neg
Set.preimage_vadd
MeasureTheory.NullMeasurableSet.preimage
Set.iUnion_vadd_eq_setOf_exists
MeasureTheory.NullMeasurableSet.iUnion
MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.ae_iff_measure_eq
le_antisymm
MeasureTheory.measure_mono
Set.subset_univ
MeasureTheory.measure_iUnionβ‚€
mono πŸ“–β€”MeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
β€”β€”MeasureTheory.NullMeasurableSet.mono_ac
nullMeasurableSet
ae_covers
Pairwise.mono
aedisjoint
nullMeasurableSet πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomainMeasureTheory.NullMeasurableSetβ€”β€”
nullMeasurableSet_vadd πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.NullMeasurableSet
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
β€”MeasureTheory.NullMeasurableSet.vadd
nullMeasurableSet
pairwise_aedisjoint_of_ac πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
Pairwise
MeasureTheory.AEDisjoint
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
β€”Pairwise.mono
aedisjoint
preimage_of_equiv πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.QuasiMeasurePreserving
Function.Bijective
Function.Semiconj
HVAdd.hVAdd
instHVAdd
Set.preimageβ€”MeasureTheory.NullMeasurableSet.preimage
nullMeasurableSet
Filter.Eventually.mono
MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.Measure.QuasiMeasurePreserving.ae
ae_covers
Set.mem_preimage
CanLift.prf
Equiv.instCanLiftForallCoeBijective
EmbeddingLike.apply_eq_iff_eq
EquivLike.toEmbeddingLike
MeasureTheory.AEDisjoint.preimage
aedisjoint
Set.preimage_vadd_neg
Set.preimage_preimage
neg_neg
Equiv.apply_symm_apply
restrict_restrict πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.restrict
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
Set.instInter
β€”MeasureTheory.Measure.restrict_restrictβ‚€
MeasureTheory.NullMeasurableSet.mono
nullMeasurableSet_vadd
MeasureTheory.Measure.restrict_le_self
setIntegral_eq πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
instHVAdd
MeasureTheory.integral
MeasureTheory.Measure.restrict
β€”integrableOn_iff
setIntegral_eq_tsum
Set.inter_comm
setIntegral_eq_tsum'
MeasureTheory.integral_undef
setIntegral_eq_tsum πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.IntegrableOn
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
MeasureTheory.Measure.restrict
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
Set
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”integral_eq_tsum_of_ac
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
restrict_restrict
Set.inter_comm
setIntegral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.IntegrableOn
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
MeasureTheory.Measure.restrict
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
Set
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
NegZeroClass.toNeg
SummationFilter.unconditional
β€”setIntegral_eq_tsum
Equiv.tsum_eq
Set.vadd_set_inter
neg_vadd_vadd
tsum_congr
MeasureTheory.MeasurePreserving.setIntegral_image_emb
MeasureTheory.measurePreserving_vadd
measurableEmbedding_const_vadd
setLIntegral_eq πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
instHVAdd
MeasureTheory.lintegral
MeasureTheory.Measure.restrict
β€”setLIntegral_eq_tsum
Set.inter_comm
setLIntegral_eq_tsum'
setLIntegral_eq_tsum πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.lintegral
MeasureTheory.Measure.restrict
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
SummationFilter.unconditional
β€”lintegral_eq_tsum_of_ac
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
restrict_restrict
Set.inter_comm
setLIntegral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.lintegral
MeasureTheory.Measure.restrict
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set
Set.instInter
HVAdd.hVAdd
instHVAdd
Set.vaddSet
NegZeroClass.toNeg
SummationFilter.unconditional
β€”setLIntegral_eq_tsum
Equiv.tsum_eq
Set.vadd_set_inter
neg_vadd_vadd
tsum_congr
MeasureTheory.MeasurePreserving.setLIntegral_comp_emb
MeasureTheory.measurePreserving_vadd
measurableEmbedding_const_vadd
sum_restrict πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.sum
MeasureTheory.Measure.restrict
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
β€”sum_restrict_of_ac
refl
MeasureTheory.Measure.AbsolutelyContinuous.instRefl
sum_restrict_of_ac πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
MeasureTheory.Measure.sum
MeasureTheory.Measure.restrict
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
β€”MeasureTheory.Measure.restrict_iUnion_ae
Pairwise.mono
aedisjoint
MeasureTheory.NullMeasurableSet.mono_ac
nullMeasurableSet_vadd
MeasureTheory.Measure.restrict_congr_set
iUnion_vadd_ae_eq
MeasureTheory.Measure.restrict_univ
vadd πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
β€”image_of_equiv
MeasureTheory.MeasurePreserving.quasiMeasurePreserving
MeasureTheory.measurePreserving_vadd
add_assoc
add_neg_cancel_left
add_neg_cancel
add_zero
neg_add_cancel_left
neg_add_cancel
vadd_vadd
vadd_of_comm πŸ“–mathematicalMeasureTheory.IsAddFundamentalDomain
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
AddGroup.toSubtractionMonoid
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddAction.toAddSemigroupAction
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
β€”image_of_equiv
MeasureTheory.MeasurePreserving.quasiMeasurePreserving
MeasureTheory.measurePreserving_vadd
VAddCommClass.vadd_comm

MeasureTheory.IsFundamentalDomain

Theorems

NameKindAssumesProvesValidatesDepends On
ae_covers πŸ“–mathematicalMeasureTheory.IsFundamentalDomainFilter.Eventually
Set
Set.instMembership
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
β€”β€”
aedisjoint πŸ“–mathematicalMeasureTheory.IsFundamentalDomainPairwise
Function.onFun
Set
MeasureTheory.AEDisjoint
Set.smulSet
β€”β€”
aestronglyMeasurable_on_iff πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.AEStronglyMeasurable
MeasureTheory.Measure.restrict
β€”restrict_restrict
sum_restrict_of_ac
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
Set.inter_comm
Set.smul_set_inter
smul_inv_smul
Function.Surjective.forall
inv_surjective
inv_inv
measurableEmbedding_const_smul
Set.image_smul
MeasureTheory.MeasurePreserving.aestronglyMeasurable_comp_iff
MeasureTheory.MeasurePreserving.restrict_image_emb
MeasureTheory.measurePreserving_smul
covolume_eq_volume πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.covolume
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
β€”MeasureTheory.HasFundamentalDomain.ExistsIsFundamentalDomain
hasFundamentalDomain
measure_eq
essSup_measure_restrict πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
essSup
ENNReal
ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice
ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder
CompleteLinearOrder.toConditionallyCompleteLinearOrderBot
ENNReal.instCompleteLinearOrder
MeasureTheory.Measure.restrict
β€”le_antisymm
essSup_mono_measure'
MeasureTheory.Measure.restrict_le_self
essSup_eq_sInf
sInf_le_sInf
measure_zero_of_invariant
Set.ext
Set.mem_smul_set_iff_inv_smul_mem
MeasureTheory.Measure.restrict_applyβ‚€'
nullMeasurableSet
exists_ne_one_smul_eq πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.NullMeasurableSet
ENNReal
Preorder.toLT
PartialOrder.toPreorder
ENNReal.instPartialOrder
DFunLike.coe
MeasureTheory.Measure
Set
MeasureTheory.Measure.instFunLike
Set.instMembershipβ€”Mathlib.Tactic.Contrapose.contrapose₁
Mathlib.Tactic.Push.not_and_eq
measure_le_of_pairwise_disjoint
Pairwise.aedisjoint
Disjoint.inf_right
Disjoint.inf_left
Set.disjoint_left
inv_mul_eq_one
SemigroupAction.mul_smul
inv_smul_smul
fundamentalInterior πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.fundamentalInteriorβ€”MeasureTheory.NullMeasurableSet.fundamentalInterior
nullMeasurableSet
MeasureTheory.Measure.instOuterMeasureClass
Set.setOf_forall
Set.smul_set_union
MeasureTheory.fundamentalFrontier_union_fundamentalInterior
subset_refl
Set.instReflSubset
eq_bot_mono
MeasureTheory.OuterMeasure.mono
Set.compl_subset_compl
Set.iUnion_inv_smul
Set.iUnion_smul_eq_setOf_exists
compl_sdiff
himp_eq
MeasureTheory.measure_union_null
MeasureTheory.measure_iUnion_null
MeasureTheory.measure_smul_null
measure_fundamentalFrontier
ae_covers
Pairwise.mono
MeasureTheory.pairwise_disjoint_fundamentalInterior
Disjoint.aedisjoint
hasFiniteIntegral_on_iff πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.HasFiniteIntegral
ContinuousENorm.toENorm
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddGroup.toPseudoMetricSpace
SeminormedAddCommGroup.toSeminormedAddGroup
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
MeasureTheory.Measure.restrict
β€”setLIntegral_eq
hasFundamentalDomain πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.HasFundamentalDomainβ€”β€”
iUnion_smul_ae_eq πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
Filter.EventuallyEq
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
Set.iUnion
Set
Set.smulSet
Set.univ
β€”MeasureTheory.Measure.instOuterMeasureClass
Filter.eventuallyEq_univ
Filter.Eventually.mono
ae_covers
Set.mem_iUnion
inv_smul_smul
image_of_equiv πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.QuasiMeasurePreserving
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
Equiv.symm
Function.Semiconj
Set.imageβ€”Equiv.image_eq_preimage_symm
preimage_of_equiv
Equiv.bijective
Equiv.surjective
Equiv.symm_apply_apply
Equiv.apply_symm_apply
integrableOn_iff πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.IntegrableOn
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
β€”aestronglyMeasurable_on_iff
PseudoEMetricSpace.pseudoMetrizableSpace
hasFiniteIntegral_on_iff
integral_eq_tsum πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
Set
Set.smulSet
SummationFilter.unconditional
β€”integral_eq_tsum_of_ac
MeasureTheory.Measure.AbsolutelyContinuous.refl
integral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
InvOneClass.toInv
SummationFilter.unconditional
β€”integral_eq_tsum
Equiv.tsum_eq
tsum_congr
MeasureTheory.MeasurePreserving.setIntegral_image_emb
MeasureTheory.measurePreserving_smul
measurableEmbedding_const_smul
integral_eq_tsum'' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
SummationFilter.unconditional
β€”integral_eq_tsum'
Equiv.tsum_eq
integral_eq_tsum_of_ac πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
MeasureTheory.Integrable
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
MeasureTheory.Measure.restrict
Set
Set.smulSet
SummationFilter.unconditional
β€”MeasureTheory.integral_sum_measure
sum_restrict_of_ac
lintegral_eq_tsum πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
Set
Set.smulSet
SummationFilter.unconditional
β€”lintegral_eq_tsum_of_ac
refl
MeasureTheory.Measure.AbsolutelyContinuous.instRefl
lintegral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
InvOneClass.toInv
SummationFilter.unconditional
β€”lintegral_eq_tsum
Equiv.tsum_eq
tsum_congr
MeasureTheory.MeasurePreserving.setLIntegral_comp_emb
MeasureTheory.measurePreserving_smul
measurableEmbedding_const_smul
lintegral_eq_tsum'' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
SummationFilter.unconditional
β€”lintegral_eq_tsum'
Equiv.tsum_eq
lintegral_eq_tsum_of_ac πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
MeasureTheory.lintegral
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
MeasureTheory.Measure.restrict
Set
Set.smulSet
SummationFilter.unconditional
β€”MeasureTheory.lintegral_sum_measure
sum_restrict_of_ac
measurePreserving_quotient_mk πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.MeasurePreserving
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”measurable_quotient_mk'
projection_respects_measure
measure_eq πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
β€”MeasureTheory.setLIntegral_one
setLIntegral_eq
measure_eq_card_smul_of_smul_ae_eq_self πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
Filter.EventuallyEq
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
Set
Set.smulSet
DFunLike.coe
ENNReal
AddMonoid.toNatSMul
ESeminormedAddMonoid.toAddMonoid
ENNReal.instTopologicalSpace
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
instENormedAddCommMonoidENNReal
Nat.card
Set.instInter
β€”MeasureTheory.Measure.instOuterMeasureClass
measure_eq_tsum
MeasureTheory.ae_eq_set_inter
MeasureTheory.ae_eq_refl
MeasureTheory.measure_congr
tsum_fintype
SummationFilter.instLeAtTopUnconditional
Finset.sum_const
Nat.card_eq_fintype_card
measure_eq_tsum πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set.instInter
Set.smulSet
SummationFilter.unconditional
β€”MeasureTheory.setLIntegral_one
setLIntegral_eq_tsum'
measure_eq_tsum' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set.instInter
Set.smulSet
SummationFilter.unconditional
β€”measure_eq_tsum_of_ac
MeasureTheory.Measure.AbsolutelyContinuous.rfl
measure_eq_tsum_of_ac πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set.instInter
Set.smulSet
SummationFilter.unconditional
β€”MeasureTheory.Measure.AbsolutelyContinuous.trans
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
MeasureTheory.setLIntegral_one
MeasureTheory.Measure.restrict_applyβ‚€
MeasureTheory.NullMeasurableSet.mono_ac
nullMeasurableSet_smul
Set.inter_comm
lintegral_eq_tsum_of_ac
measure_fundamentalFrontier πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
MeasureTheory.fundamentalFrontier
instZeroENNReal
β€”Set.inter_comm
Set.iUnionβ‚‚_inter
MeasureTheory.Measure.instOuterMeasureClass
Prop.countable
one_smul
aedisjoint
measure_fundamentalInterior πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
MeasureTheory.fundamentalInterior
β€”MeasureTheory.measure_diff_null'
measure_fundamentalFrontier
measure_le_of_pairwise_disjoint πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.NullMeasurableSet
Pairwise
Function.onFun
Set
MeasureTheory.AEDisjoint
Set.instInter
Set.smulSet
ENNReal
Preorder.toLE
PartialOrder.toPreorder
ENNReal.instPartialOrder
DFunLike.coe
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
β€”measure_eq_tsum
MeasureTheory.measure_iUnionβ‚€
MeasureTheory.NullMeasurableSet.inter
MeasureTheory.NullMeasurableSet.smul
nullMeasurableSet
MeasureTheory.measure_mono
MeasureTheory.Measure.instOuterMeasureClass
Set.iUnion_subset
Set.inter_subset_right
measure_ne_zero πŸ“–β€”MeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
β€”β€”MeasureTheory.Measure.measure_univ_pos
Mathlib.Tactic.Contrapose.contrapose₃
MeasureTheory.measure_congr
MeasureTheory.Measure.instOuterMeasureClass
iUnion_smul_ae_eq
le_trans
MeasureTheory.measure_iUnion_le
MeasureTheory.measure_smul
tsum_zero
measure_set_eq πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasurableSet
Set.preimage
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
Set.instInter
β€”setLIntegral_eq
Set.indicator_comp_right
MeasureTheory.lintegral_indicator
MeasureTheory.lintegral_const
MeasureTheory.Measure.restrict_apply
Set.univ_inter
one_mul
measure_zero_of_invariant πŸ“–β€”MeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
Set
Set.smulSet
DFunLike.coe
MeasureTheory.Measure
ENNReal
MeasureTheory.Measure.instFunLike
Set.instInter
instZeroENNReal
β€”β€”measure_eq_tsum
tsum_zero
mk' πŸ“–mathematicalMeasureTheory.NullMeasurableSet
ExistsUnique
Set
Set.instMembership
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
β€”Filter.Eventually.of_forall
MeasureTheory.Measure.instOuterMeasureClass
ExistsUnique.exists
Disjoint.aedisjoint
Set.disjoint_left
inv_injective
ExistsUnique.unique
Set.mem_smul_set_iff_inv_smul_mem
mk'' πŸ“–mathematicalMeasureTheory.NullMeasurableSet
Filter.Eventually
Set
Set.instMembership
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.ae
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.AEDisjoint
Set.smulSet
MeasureTheory.Measure.QuasiMeasurePreserving
MeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
β€”MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.Measure.pairwise_aedisjoint_of_aedisjoint_forall_ne_one
mk_of_measure_univ_le πŸ“–mathematicalMeasureTheory.NullMeasurableSet
MeasureTheory.AEDisjoint
Set
Set.smulSet
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.QuasiMeasurePreserving
ENNReal
Preorder.toLE
PartialOrder.toPreorder
ENNReal.instPartialOrder
DFunLike.coe
MeasureTheory.Measure
MeasureTheory.Measure.instFunLike
Set.univ
tsum
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
SummationFilter.unconditional
MeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
β€”MeasureTheory.Measure.pairwise_aedisjoint_of_aedisjoint_forall_ne_one
inv_inv
Set.preimage_smul
MeasureTheory.NullMeasurableSet.preimage
Set.iUnion_smul_eq_setOf_exists
MeasureTheory.NullMeasurableSet.iUnion
MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.ae_iff_measure_eq
le_antisymm
MeasureTheory.measure_mono
Set.subset_univ
MeasureTheory.measure_iUnionβ‚€
mono πŸ“–β€”MeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
β€”β€”MeasureTheory.NullMeasurableSet.mono_ac
nullMeasurableSet
ae_covers
Pairwise.mono
aedisjoint
nullMeasurableSet πŸ“–mathematicalMeasureTheory.IsFundamentalDomainMeasureTheory.NullMeasurableSetβ€”β€”
nullMeasurableSet_smul πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.NullMeasurableSet
Set
Set.smulSet
β€”MeasureTheory.NullMeasurableSet.smul
nullMeasurableSet
pairwise_aedisjoint_of_ac πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
Pairwise
MeasureTheory.AEDisjoint
Set
Set.smulSet
β€”Pairwise.mono
aedisjoint
preimage_of_equiv πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.QuasiMeasurePreserving
Function.Bijective
Function.Semiconj
Set.preimageβ€”MeasureTheory.NullMeasurableSet.preimage
nullMeasurableSet
Filter.Eventually.mono
MeasureTheory.Measure.instOuterMeasureClass
MeasureTheory.Measure.QuasiMeasurePreserving.ae
ae_covers
Set.mem_preimage
CanLift.prf
Equiv.instCanLiftForallCoeBijective
EquivLike.toEmbeddingLike
MeasureTheory.AEDisjoint.preimage
aedisjoint
Set.preimage_preimage
inv_inv
Equiv.apply_symm_apply
projection_respects_measure πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.map
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”MeasureTheory.QuotientMeasureEqMeasurePreimage.projection_respects_measure'
projection_respects_measure_apply πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasurableSet
MulAction.orbitRel
Quotient.instMeasurableSpace
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
Set.instInter
Set.preimage
β€”projection_respects_measure
MeasureTheory.measure_map_restrict_apply
quotientMeasureEqMeasurePreimage πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.map
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
MeasureTheory.QuotientMeasureEqMeasurePreimageβ€”quotientMeasureEqMeasurePreimage_quotientMeasure
quotientMeasureEqMeasurePreimage_of_zero πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
DFunLike.coe
MeasureTheory.Measure
Set
ENNReal
MeasureTheory.Measure.instFunLike
instZeroENNReal
MeasureTheory.QuotientMeasureEqMeasurePreimage
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.instZero
β€”quotientMeasureEqMeasurePreimage
MeasureTheory.Measure.ext
MeasureTheory.measure_map_restrict_apply
MeasureTheory.measure_inter_null_of_null_right
quotientMeasureEqMeasurePreimage_quotientMeasure πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.QuotientMeasureEqMeasurePreimage
MeasureTheory.Measure.map
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”quotientMeasure_eq
quotientMeasure_eq πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.map
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”MeasureTheory.Measure.ext
MeasureTheory.measure_map_restrict_apply
measure_set_eq
measurableSet_quotient
Set.ext
restrict_restrict πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.restrict
Set
Set.smulSet
Set.instInter
β€”MeasureTheory.Measure.restrict_restrictβ‚€
MeasureTheory.NullMeasurableSet.mono
nullMeasurableSet_smul
MeasureTheory.Measure.restrict_le_self
setIntegral_eq πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.integral
MeasureTheory.Measure.restrict
β€”integrableOn_iff
setIntegral_eq_tsum
Set.inter_comm
setIntegral_eq_tsum'
MeasureTheory.integral_undef
setIntegral_eq_tsum πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.IntegrableOn
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
MeasureTheory.Measure.restrict
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
Set
Set.instInter
Set.smulSet
SummationFilter.unconditional
β€”integral_eq_tsum_of_ac
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
restrict_restrict
Set.inter_comm
setIntegral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.IntegrableOn
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NormedAddCommGroup.toSeminormedAddCommGroup
SeminormedAddGroup.toContinuousENorm
SeminormedAddCommGroup.toSeminormedAddGroup
MeasureTheory.integral
MeasureTheory.Measure.restrict
tsum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
Set
Set.instInter
Set.smulSet
InvOneClass.toInv
SummationFilter.unconditional
β€”setIntegral_eq_tsum
Equiv.tsum_eq
Set.smul_set_inter
inv_smul_smul
tsum_congr
MeasureTheory.MeasurePreserving.setIntegral_image_emb
MeasureTheory.measurePreserving_smul
measurableEmbedding_const_smul
setLIntegral_eq πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.lintegral
MeasureTheory.Measure.restrict
β€”setLIntegral_eq_tsum
Set.inter_comm
setLIntegral_eq_tsum'
setLIntegral_eq_tsum πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.lintegral
MeasureTheory.Measure.restrict
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set
Set.instInter
Set.smulSet
SummationFilter.unconditional
β€”lintegral_eq_tsum_of_ac
LE.le.absolutelyContinuous
MeasureTheory.Measure.restrict_le_self
restrict_restrict
Set.inter_comm
setLIntegral_eq_tsum' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.lintegral
MeasureTheory.Measure.restrict
tsum
ENNReal
ENNReal.instAddCommMonoid
ENNReal.instTopologicalSpace
Set
Set.instInter
Set.smulSet
InvOneClass.toInv
SummationFilter.unconditional
β€”setLIntegral_eq_tsum
Equiv.tsum_eq
Set.smul_set_inter
inv_smul_smul
tsum_congr
MeasureTheory.MeasurePreserving.setLIntegral_comp_emb
MeasureTheory.measurePreserving_smul
measurableEmbedding_const_smul
smul πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
Set
Set.smulSet
β€”image_of_equiv
MeasureTheory.MeasurePreserving.quasiMeasurePreserving
MeasureTheory.measurePreserving_smul
mul_assoc
mul_inv_cancel_left
mul_inv_cancel
mul_one
inv_mul_cancel_left
inv_mul_cancel
smul_smul
smul_of_comm πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
Set
Set.smulSet
β€”image_of_equiv
MeasureTheory.MeasurePreserving.quasiMeasurePreserving
MeasureTheory.measurePreserving_smul
SMulCommClass.smul_comm
sum_restrict πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.sum
MeasureTheory.Measure.restrict
Set
Set.smulSet
β€”sum_restrict_of_ac
refl
MeasureTheory.Measure.AbsolutelyContinuous.instRefl
sum_restrict_of_ac πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.AbsolutelyContinuous
MeasureTheory.Measure.sum
MeasureTheory.Measure.restrict
Set
Set.smulSet
β€”MeasureTheory.Measure.restrict_iUnion_ae
Pairwise.mono
aedisjoint
MeasureTheory.NullMeasurableSet.mono_ac
nullMeasurableSet_smul
MeasureTheory.Measure.restrict_congr_set
iUnion_smul_ae_eq
MeasureTheory.Measure.restrict_univ

MeasureTheory.NullMeasurableSet

Theorems

NameKindAssumesProvesValidatesDepends On
addFundamentalFrontier πŸ“–mathematicalMeasureTheory.NullMeasurableSetMeasureTheory.addFundamentalFrontierβ€”inter
iUnion
Prop.countable
vadd
addFundamentalInterior πŸ“–mathematicalMeasureTheory.NullMeasurableSetMeasureTheory.addFundamentalInteriorβ€”diff
iUnion
Prop.countable
vadd
fundamentalFrontier πŸ“–mathematicalMeasureTheory.NullMeasurableSetMeasureTheory.fundamentalFrontierβ€”inter
iUnion
Prop.countable
smul
fundamentalInterior πŸ“–mathematicalMeasureTheory.NullMeasurableSetMeasureTheory.fundamentalInteriorβ€”diff
iUnion
Prop.countable
smul

MeasureTheory.QuotientMeasureEqMeasurePreimage

Theorems

NameKindAssumesProvesValidatesDepends On
covolume_ne_top πŸ“–mathematicalβ€”ENNReal
Preorder.toLT
PartialOrder.toPreorder
ENNReal.instPartialOrder
MeasureTheory.covolume
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
Top.top
instTopENNReal
β€”MeasureTheory.HasFundamentalDomain.ExistsIsFundamentalDomain
MeasureTheory.IsFiniteMeasure.measure_univ_lt_top
MeasureTheory.IsFundamentalDomain.covolume_eq_volume
Set.univ_inter
MeasureTheory.IsFundamentalDomain.projection_respects_measure_apply
MeasurableSet.univ
isFiniteMeasure_quotient πŸ“–mathematicalβ€”MeasureTheory.IsFiniteMeasure
MulAction.orbitRel
Quotient.instMeasurableSpace
β€”MeasureTheory.HasFundamentalDomain.ExistsIsFundamentalDomain
MeasureTheory.IsFundamentalDomain.projection_respects_measure
MeasureTheory.IsFundamentalDomain.covolume_eq_volume
Ne.lt_top
MeasureTheory.Measure.isFiniteMeasure_map
MeasureTheory.Restrict.isFiniteMeasure
projection_respects_measure' πŸ“–mathematicalMeasureTheory.IsFundamentalDomain
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
SemigroupAction.toSMul
Monoid.toSemigroup
DivInvMonoid.toMonoid
Group.toDivInvMonoid
MulAction.toSemigroupAction
MeasureTheory.Measure.map
MulAction.orbitRel
Quotient.instMeasurableSpace
MeasureTheory.Measure.restrict
β€”β€”
sigmaFiniteQuotient πŸ“–mathematicalβ€”MeasureTheory.SigmaFinite
MulAction.orbitRel
Quotient.instMeasurableSpace
β€”MeasureTheory.sigmaFinite_iff
MulAction.quotient_preimage_image_eq_union_mul
measurableSet_quotient
MeasurableSet.iUnion
MeasurableSet.const_smul
MeasureTheory.IsFundamentalDomain.projection_respects_measure_apply
Set.iUnion_inter
lt_of_le_of_lt
MeasureTheory.IsFundamentalDomain.measure_eq_tsum
MeasureTheory.measure_iUnion_le
MeasureTheory.Measure.instOuterMeasureClass
Set.image_iUnion
Set.image_univ_of_surjective
Quotient.mk'_surjective
unique πŸ“–β€”β€”β€”β€”MeasureTheory.HasFundamentalDomain.ExistsIsFundamentalDomain
MeasureTheory.IsFundamentalDomain.projection_respects_measure

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