Documentation Verification Report

Finite

📁 Source: Mathlib/Topology/CWComplex/Classical/Finite.lean

Statistics

MetricCount
DefinitionsFinite, Finite, Finite, mkFinite, mkFiniteType, Finite, mkFinite, mkFiniteType
8
TheoremsfiniteType_mkFiniteType, finite_mkFinite, mkFiniteType_cell, mkFiniteType_map, mkFinite_cell, mkFinite_map, toFiniteDimensional, toFiniteType, eventually_isEmpty_cell, finite_cell, finiteType_mkFiniteType, finite_cells_of_finite, finite_iff_finite_cells, finite_mkFinite, finite_of_finiteDimensional_finiteType, finite_of_finite_cells, mkFiniteType_cell, mkFiniteType_map, mkFinite_cell, mkFinite_map
20
Total28

AlgHom

Definitions

NameCategoryTheorems
Finite 📖MathDef
7 mathmath: Finite.of_comp_finite, Finite.of_surjective, Localization.exists_finite_awayMapₐ_of_surjective_awayMapₐ, MvPolynomial.finite_universalFactorizationMap, exists_finite_inj_algHom_of_fg, Finite.id, Finite.comp

SSet

Definitions

NameCategoryTheorems
Finite 📖CompData
18 mathmath: finite_of_isPullback, finite_iSup_iff, stdSimplex.instFiniteToSSetOfSimplex, instFiniteTensorUnit, finite_of_hasDimensionLT, finite_iff_of_iso, instFiniteToSSet, finite_of_mono, instFiniteTensorObj, instFiniteCoprod, finite_of_epi, prodStdSimplex.instFiniteTensorObjObjSimplexCategoryStdSimplexMk, finite_subcomplex_top_iff, stdSimplex.instFiniteObjSimplexCategory, finite_range, finite_of_iso, instFinitePullback, instFiniteInitial

Topology.CWComplex

Definitions

NameCategoryTheorems
mkFinite 📖CompOp
3 mathmath: mkFinite_map, mkFinite_cell, finite_mkFinite
mkFiniteType 📖CompOp
3 mathmath: mkFiniteType_cell, finiteType_mkFiniteType, mkFiniteType_map

Theorems

NameKindAssumesProvesValidatesDepends On
finiteType_mkFiniteType 📖mathematicalFinite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Set.MapsTo
Metric.sphere
Set.iUnion
IsClosed
Topology.RelCWComplex.FiniteType
Set.instEmptyCollection
instRelCWComplex
mkFiniteType
finite_mkFinite 📖mathematicalFilter.Eventually
IsEmpty
Filter.atTop
Nat.instPreorder
Finite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Set.MapsTo
Metric.sphere
Set.iUnion
Topology.RelCWComplex.Finite
Set.instEmptyCollection
instRelCWComplex
mkFinite
mkFiniteType_cell 📖mathematicalFinite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Set.MapsTo
Metric.sphere
Set.iUnion
IsClosed
cell
mkFiniteType
mkFiniteType_map 📖mathematicalFinite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Set.MapsTo
Metric.sphere
Set.iUnion
IsClosed
map
mkFiniteType
mkFinite_cell 📖mathematicalFilter.Eventually
IsEmpty
Filter.atTop
Nat.instPreorder
Finite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Set.MapsTo
Metric.sphere
Set.iUnion
cell
mkFinite
Topology.RelCWComplex.cell
Set.instEmptyCollection
Topology.RelCWComplex.mkFinite
isClosed_empty
mkFinite_map 📖mathematicalFilter.Eventually
IsEmpty
Filter.atTop
Nat.instPreorder
Finite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Set.MapsTo
Metric.sphere
Set.iUnion
map
mkFinite
Topology.RelCWComplex.map
Set.instEmptyCollection
Topology.RelCWComplex.mkFinite
isClosed_empty
isClosed_empty

Topology.RelCWComplex

Definitions

NameCategoryTheorems
Finite 📖CompData
6 mathmath: finite_of_finiteDimensional_finiteType, finite_of_finite_cells, finite_mkFinite, Subcomplex.finite_subcomplex_of_finite, finite_iff_finite_cells, Topology.CWComplex.finite_mkFinite
mkFinite 📖CompOp
5 mathmath: Topology.CWComplex.mkFinite_map, Topology.CWComplex.mkFinite_cell, mkFinite_cell, finite_mkFinite, mkFinite_map
mkFiniteType 📖CompOp
3 mathmath: mkFiniteType_cell, mkFiniteType_map, finiteType_mkFiniteType

Theorems

NameKindAssumesProvesValidatesDepends On
finiteType_mkFiniteType 📖mathematicalFinite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Disjoint
Set.MapsTo
Metric.sphere
Set.instUnion
Set.iUnion
IsClosed
FiniteType
mkFiniteType
finite_cells_of_finite 📖mathematicalFinite
cell
FiniteDimensional.eventually_isEmpty_cell
Finite.toFiniteDimensional
FiniteType.finite_cell
Finite.toFiniteType
instIsDirectedOrder
IsStrictOrderedRing.toIsOrderedRing
Nat.instIsStrictOrderedRing
instArchimedeanNat
IsEmpty.false
not_lt
Sigma.eta
Equiv.finite_iff
Finite.instSigma
instFiniteSubtypeLtOfLocallyFiniteOrderBot
finite_iff_finite_cells 📖mathematicalFinite
Finite
cell
finite_cells_of_finite
finite_of_finite_cells
finite_mkFinite 📖mathematicalFilter.Eventually
IsEmpty
Filter.atTop
Nat.instPreorder
Finite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Disjoint
Set.MapsTo
Metric.sphere
Set.instUnion
Set.iUnion
Finite
mkFinite
finite_of_finiteDimensional_finiteType 📖mathematicalFiniteFiniteType.finite_cell
finite_of_finite_cells 📖mathematicalFiniteinstIsDirectedOrder
IsStrictOrderedRing.toIsOrderedRing
Nat.instIsStrictOrderedRing
instArchimedeanNat
isEmpty_or_nonempty
Nat.instCanonicallyOrderedAdd
Finset.image_nonempty
Finset.univ_nonempty
Mathlib.Tactic.Linarith.lt_irrefl
Mathlib.Tactic.Ring.of_eq
Mathlib.Tactic.Ring.add_congr
Mathlib.Tactic.Ring.neg_congr
Mathlib.Tactic.Ring.cast_pos
Mathlib.Meta.NormNum.isNat_ofNat
Mathlib.Tactic.Ring.neg_add
Mathlib.Tactic.Ring.neg_one_mul
Mathlib.Meta.NormNum.IsInt.to_raw_eq
Mathlib.Meta.NormNum.isInt_mul
Mathlib.Meta.NormNum.IsInt.of_raw
Mathlib.Meta.NormNum.IsNat.to_isInt
Mathlib.Meta.NormNum.IsNat.of_raw
Mathlib.Tactic.Ring.neg_zero
Mathlib.Tactic.Ring.sub_congr
Mathlib.Tactic.Ring.atom_pf
Mathlib.Tactic.Ring.add_pf_add_gt
Mathlib.Tactic.Ring.add_pf_add_zero
Mathlib.Tactic.Ring.sub_pf
Mathlib.Tactic.Ring.neg_mul
Mathlib.Tactic.Ring.add_pf_add_lt
Mathlib.Tactic.Ring.add_pf_zero_add
Mathlib.Tactic.Ring.add_pf_add_overlap_zero
Mathlib.Meta.NormNum.IsInt.to_isNat
Mathlib.Meta.NormNum.isInt_add
Mathlib.Tactic.Ring.add_overlap_pf_zero
Mathlib.Tactic.Ring.cast_zero
Mathlib.Tactic.Linarith.add_lt_of_neg_of_le
Int.instIsStrictOrderedRing
neg_neg_of_pos
Int.instIsOrderedAddMonoid
Mathlib.Tactic.Linarith.zero_lt_one
Mathlib.Tactic.Linarith.sub_nonpos_of_le
Nat.cast_add
Nat.cast_one
Finset.le_max'
Finite.of_injective
sigma_mk_injective
mkFiniteType_cell 📖mathematicalFinite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Disjoint
Set.MapsTo
Metric.sphere
Set.instUnion
Set.iUnion
IsClosed
cell
mkFiniteType
mkFiniteType_map 📖mathematicalFinite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Disjoint
Set.MapsTo
Metric.sphere
Set.instUnion
Set.iUnion
IsClosed
map
mkFiniteType
mkFinite_cell 📖mathematicalFilter.Eventually
IsEmpty
Filter.atTop
Nat.instPreorder
Finite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Disjoint
Set.MapsTo
Metric.sphere
Set.instUnion
Set.iUnion
cell
mkFinite
mkFinite_map 📖mathematicalFilter.Eventually
IsEmpty
Filter.atTop
Nat.instPreorder
Finite
PartialEquiv.source
Metric.ball
pseudoMetricSpacePi
Real
Fin.fintype
Real.pseudoMetricSpace
Pi.instZero
Real.instZero
Real.instOne
ContinuousOn
Pi.topologicalSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
PartialEquiv.toFun
Metric.closedBall
PartialEquiv.symm
PartialEquiv.target
Set.PairwiseDisjoint
Set
OmegaCompletePartialOrder.toPartialOrder
CompleteLattice.instOmegaCompletePartialOrder
CompleteBooleanAlgebra.toCompleteLattice
CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra
Set.instCompleteAtomicBooleanAlgebra
HeytingAlgebra.toOrderBot
Order.Frame.toHeytingAlgebra
CompleteDistribLattice.toFrame
CompleteBooleanAlgebra.toCompleteDistribLattice
Set.univ
Set.image
Disjoint
Set.MapsTo
Metric.sphere
Set.instUnion
Set.iUnion
map
mkFinite

Topology.RelCWComplex.Finite

Theorems

NameKindAssumesProvesValidatesDepends On
toFiniteDimensional 📖mathematicalTopology.RelCWComplex.FiniteDimensional
toFiniteType 📖mathematicalTopology.RelCWComplex.FiniteType

Topology.RelCWComplex.FiniteDimensional

Theorems

NameKindAssumesProvesValidatesDepends On
eventually_isEmpty_cell 📖mathematicalFilter.Eventually
IsEmpty
Topology.RelCWComplex.cell
Filter.atTop
Nat.instPreorder

Topology.RelCWComplex.FiniteType

Theorems

NameKindAssumesProvesValidatesDepends On
finite_cell 📖mathematicalFinite
Topology.RelCWComplex.cell

(root)

Definitions

NameCategoryTheorems
Finite 📖CompData
370 mathmath: CategoryTheory.ShortComplex.ShortExact.ab_finite_iff, TemperedDistribution.lineDerivOpCLM_eq, MeasureTheory.Lp.toTemperedDistributionCLM_apply, Finite.psum_right, TemperedDistribution.fourierInv_toTemperedDistributionCLM_eq, Subgroup.instFiniteSubtypeMem, Matrix.instFinite, FiniteAddGrp.instFiniteCarrierToAddGrp, Field.finite_intermediateField_of_exists_primitive_element, IsKleinFour.instFinite, Quot.finite, PrimeSpectrum.discreteTopology_iff_finite_and_krullDimLE_zero, SSet.Subcomplex.Pairing.instFiniteSubtypeElemNIIAncestralRel, WellFoundedLT.finite_of_iSupIndep, Quotient.finite, List.Vector.finite, CategoryTheory.instFiniteArrowDiscrete, PrimeSpectrum.finite_of_toPiLocalization_surjective, Finite.Set.subset, Finite.Set.finite_image, MeasurableSpace.instFinite_countablePartition, Finite.of_equiv, AddCommGrpCat.prop_isFinite_iff, FintypeCat.instFiniteIso, ENat.card_lt_top, CategoryTheory.PreGaloisCategory.instFiniteAutOfIsConnected, QuotientGroup.finite, Set.FiniteExhaustion.instFiniteElemCoeNat, FirstOrder.Language.empty.isFraisse_finite, Finite.Set.finite_of_finite_image, Valued.integer.compactSpace_iff_completeSpace_and_isDiscreteValuationRing_and_finite_residueField, FirstOrder.Language.Structure.fg_iff_finite, TemperedDistribution.lineDerivOp_fourier_eq, PrimeSpectrum.discreteTopology_iff_finite_isMaximal_and_sInf_le_nilradical, IsSimpleGroup.finite, finite_of_compact_of_discrete, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, SimplexCategory.instFiniteHom, Set.Finite.finite_of_compl, IsLocalRing.ResidueField.finite_of_finite, LieModule.Weight.instFinite, instFiniteProp, instFiniteAbelianization, SimpleGraph.instFinite, instFiniteQuotientRingOfIntegersIdealOfNumberFieldOfIsMaximal, AddAction.finite_quotient_of_finite_quotient_of_finite_quotient, PointwiseConvergenceCLM.tendsto_nhds, FintypeCat.instFiniteHom, MaximalSpectrum.finite_of_toPiLocalization_surjective, Finite.algHom, FiniteGrp.isFinite, not_finite_iff_infinite, MulEquiv.finite_left, AddSubgroup.quotient_finite_of_isOpen', Finite.Set.finite_diff, WellFoundedGT.finite_of_iSupIndep, Polynomial.IsSplittingField.instFiniteSplittingField, TemperedDistribution.smulLeftCLM_neg, PointwiseConvergenceCLM.postcomp_apply, CategoryTheory.GradedObject.instFiniteElemProdNatPreimageHAddFstSndSingletonSet, Function.HasTemperateGrowth.toTemperedDistribution_apply, CategoryTheory.ShortComplex.Exact.ab_finite, instFiniteSubtypeLtOfLocallyFiniteOrderTop, finite_iff_subgroup_quotient, Finite.Set.finite_insert, Set.finite_range_iff, TemperedDistribution.instLineDerivLeftSMulReal, CategoryTheory.GradedObject.instFiniteElemProdNatSetOfEqHAddFstSnd, instFinitePLift, Subtype.finite, TemperedDistribution.fourierInv_lineDerivOp_eq, FirstOrder.Language.dlo_age, Matrix.SpecialLinearGroup.instFinite, TemperedDistribution.instFourierAdd, Finite.Set.finite_sep, AddSubgroup.instFiniteQuotientOfContinuousAddOfCompactSpace, Finite.Set.finite_seq, PointwiseConvergenceCLM.instLocallyConvexSpace, FirstOrder.Language.Structure.FG.finite, FirstOrder.Language.empty.isFraisseLimit_of_countable_infinite, TemperedDistribution.instFourierSMul, TemperedDistribution.delta_apply, Fintype.finite, Equiv.finite_iff, RegularWreathProduct.instFinite, Subgroup.finite_quotient_of_finiteIndex, TemperedDistribution.instContinuousFourier, Subgroup.finite_iff_finite_and_finiteIndex, instFiniteCuspOrbitsOfIsArithmetic, FunLike.finite, Finite.of_ideal_quotient, Finite.Set.finite_range, Finite.of_forall_not_lt_lt, LinearIndependent.finite_of_le_span_finite, IsArtinianRing.finite_of_compactSpace_of_t2Space, QuotientAddGroup.finite, instFiniteMonoidHomUnits, SchwartzMap.delta_apply, Finite.Set.finite_image2, SSet.instFiniteElemObjOppositeSimplexCategoryOpMkNonDegenerateOfFinite, CategoryTheory.Subfunctor.IsFinite.instFiniteIndex, PointwiseConvergenceCLM.instT2Space, AlgebraicGeometry.QuasiCompactCover.exists_hom, Ideal.instFinite, finite_iff_addSubgroup_quotient, finite_or_infinite, Subgroup.IsComplement.finite_right_iff, AddSubgroup.finite_quotient_of_pretransitive_of_index_ne_zero, Submodule.finiteQuotient_iff, PointwiseConvergenceCLM.isEmbedding_coeFn, SheafOfModules.GeneratingSections.IsFiniteType.finite, Configuration.instFiniteDual, Matrix.instFiniteSpectrum, AlgebraicGeometry.IsArtinianScheme.finite, Finite.of_finite_quot_finite_addSubgroup, hasCardinalLT_aleph0_iff, HahnSeries.SummableFamily.finite_co_support_prod_smul, CStarMatrix.instFinite, SSet.instFiniteObjOppositeSimplexCategoryTensorObj, PointwiseConvergenceCLM.isInducing_inducingFn, FiniteGrp.instFiniteCarrierToGrp, Finite.of_injective_finite_range, Finite.Set.finite_inter_of_right, TemperedDistribution.fourier_toTemperedDistributionCLM_eq, Ideal.absNorm_ne_zero_iff, Finite.Set.finite_union, SSet.instFiniteObjOppositeSimplexCategoryOfFinite, TopologicalSpace.Clopens.finite_prod, Finite.instProd, Finite.instPProd, FirstOrder.Language.isFraisse_finite_linear_order, IsLocalRing.finite_residueField_of_compactSpace, PointwiseConvergenceCLM.equivWeakDual_apply, TemperedDistribution.fourierTransformInv_toTemperedDistributionCLM_eq, IsPrimitiveRoot.finite_quotient_span_sub_one', Finite.sum_left, SimpleGraph.ConnectedComponent.instFinite, SchwartzMap.toTemperedDistributionCLM_apply_apply, instFiniteIteratedWreathProduct, Projectivization.finite_of_finite, TemperedDistribution.smulLeftCLM_sub, IsPrimitiveRoot.finite_quotient_span_sub_one, Finite.of_subgroup_quotient, instFiniteObjOpenNormalSubgroupStabilizerHomSurjectiveAuxFunctor, not_infinite_iff_finite, PointwiseConvergenceCLM.equivWeakDual_symm_apply, MulAction.finite_quotient_of_finite_quotient_of_finite_quotient, FirstOrder.Language.isFraisseLimit_of_countable_nonempty_dlo, Finite.prod_right, Module.finite_iff_finite, Nat.card_pos_iff, CategoryTheory.PreGaloisCategory.instFiniteHomOfIsConnected, Sylow.finite_of_ker_is_pGroup, AddAction.finite_quotient_of_pretransitive_of_finite_quotient, AddCommGroup.finite_of_fg_torsion, IsGaloisGroup.finite, Subgroup.instFiniteSubtypeMemCommutatorOfElemCommutatorSet, finite_iff_ideal_quotient, Projectivization.finite_iff_of_finite, instFiniteElemProdCommutatorRepresentatives, Matrix.instFiniteElemRealSpectrum, Submodule.finite_quotient_smul, Finite.of_fintype, IsNonarchimedeanLocalField.instFiniteResidueFieldSubtypeMemSubringIntegerValueGroupWithZeroValuation, AddSubgroup.index_ne_zero_iff_finite, PointwiseConvergenceCLM.coeLMₛₗ_apply, MulChar.finite, IsPrimitiveRoot.finite_quotient_toInteger_sub_one, Set.instFinite, Equiv.finite_left, TemperedDistribution.instLineDerivSMulReal, Finite.of_addSubgroup_quotient, PointwiseConvergenceCLM.continuousEvalConst, instFiniteAdditive, MeasureTheory.Measure.toTemperedDistribution_apply, PointwiseConvergenceCLM.coeLM_apply, Equiv.finite_right, Set.Finite.to_subtype, MulAction.finite_quotient_of_pretransitive_of_finite_quotient, SSet.stdSimplex.instFiniteObjOppositeSimplexCategory, TemperedDistribution.fourier_lineDerivOp_eq, Set.finite_coe_iff, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, TemperedDistribution.laplacian_eq_sum, Topology.RelCWComplex.FiniteType.finite_cell, instFiniteMaximalSpectrumOfIsFractionRing, Prop.instFinite, instFiniteSym, TemperedDistribution.instContinuousLineDeriv, Finite.algEquiv, SimpleGraph.instFiniteEdgeLabelingOfElemSym2EdgeSet, Subgroup.instFiniteQuotientSubtypeMemOpenSubgroupOfIsTopologicalGroupOfCompactSpace, Finite.ofBijective, Valued.integer.properSpace_iff_completeSpace_and_isDiscreteValuationRing_integer_and_finite_residueField, CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.instFiniteSubtypePSingle, AddSubgroup.finite_quotient_of_finite_quotient_of_index_ne_zero, TopologicalSpace.NoetherianSpace.finite, SetLike.instFinite, Nat.card_eq, Field.exists_primitive_element_iff_finite_intermediateField, SimpleGraph.componentCompl_finite, MaximalSpectrum.finite_of_toPiLocalization_pi_surjective, TemperedDistribution.smulLeftCLM_add, HahnSeries.SummableFamily.finite_co_support_prod_mul, basis_finite_of_finite_spans, Subgroup.index_ne_zero_iff_finite, Finite.instSum, PointwiseConvergenceCLM.precomp_apply, AddSubgroup.finite_quotient_of_finiteIndex, Submodule.finiteQuotientOfFreeOfRankEq, Finite.instPSum, TopologicalSpace.Fiber.instFiniteFiberCoeLocallyConstant, TemperedDistribution.fourierTransform_apply, Subgroup.finiteIndex_iff_finite_quotient, instFiniteMultiplicative, finite_of_span_finite_eq_top_finsupp, CategoryTheory.instFiniteDiscrete, Module.finite_finsupp_iff, AddSubgroup.finite_iff_finite_and_finiteIndex, instFiniteULift, Topology.RelCWComplex.finite_cells_of_finite, Cardinal.lt_aleph0_iff_finite, Finite.of_subsingleton, Subgroup.quotient_finite_of_isOpen', DiscreteQuotient.instFiniteQuotientOfCompactSpace, Subgroup.finite_quotient_of_pretransitive_of_index_ne_zero, Filter.cofinite_eq_bot_iff, Finite.of_finite_addAction_orbitRel_quotient, finite_of_fin_dim_affineIndependent, FiniteAddGrp.isFinite, instFiniteZModUnits, instFiniteElemSubtypeMemSubgroupClosureCommutatorRepresentativesCommutatorSet, finite_iff_nonempty_fintype, FirstOrder.Language.Substructure.FG.finite, IsLocalization.finite, instFiniteUnits, instFiniteWithTop, TemperedDistribution.instFourierInvSMul, TemperedDistribution.instFourierInvAdd, AddSubgroup.instFiniteSubtypeMem, TemperedDistribution.fourierInv_apply, Finite.of_finite_mulAction_orbitRel_quotient, PointwiseConvergenceCLM.tendsto_nhds_atTop, TemperedDistribution.fourierTransform_toTemperedDistributionCLM_eq, instFiniteElemSubmoduleIsotypicComponentsOfIsNoetherian, TemperedDistribution.instLineDerivAdd, Function.Embedding.finite, OrderDual.finite, TopologicalSpace.Opens.instFinite, TemperedDistribution.instLineDerivSMulComplex, Module.finite_of_fg_torsion, AddMonoidHom.finite_iff_finite_ker_range, Finite.Set.finite_inter_of_left, Ideal.finite_quotient_pow, Valued.integer.finite_quotient_maximalIdeal_pow_of_finite_residueField, TemperedDistribution.laplacian_toTemperedDistributionCLM_eq, IsSimpleAddGroup.finite, Set.FiniteExhaustion.finite', MonoidHom.finite_iff_finite_ker_range, Algebra.IsStandardSmooth.out, SimpleGraph.Subgraph.instFinite, PointwiseConvergenceCLM.tendsto_iff_forall_tendsto, instFiniteWithBot, SimpleGraph.componentComplFunctor_finite, NonUnitalRingHom.finite_srange, IsArtinianRing.instFinitePrimeSpectrum, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, Finite.Set.finite_replacement, Bool.instFinite, CategoryTheory.Arrow.finite_iff, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, MeasureTheory.Lp.toTemperedDistribution_toLp_eq, Finite.of_summable_const, TemperedDistribution.laplacian_apply_apply, Set.powersetCard.instFiniteElemFinset, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, Subgroup.instFiniteQuotientOfContinuousMulOfCompactSpace, Infinite.not_finite, Finite.psum_left, PointwiseConvergenceCLM.hasBasis_nhds_zero, TemperedDistribution.lineDerivOp_apply_apply, TemperedDistribution.lineDerivOp_fourierInv_eq, IsAddKleinFour.instFinite, AddEquiv.finite_left, Finite.of_finite_quot_finite_ideal, Module.finite_finsupp_self_iff, Finite.Set.finite_prod, Nat.card_ne_zero, MeasureTheory.Lp.toTemperedDistribution_apply, TemperedDistribution.smulLeftCLM_const, Subgroup.finite_quotient_of_finite_quotient_of_index_ne_zero, HasEnoughRootsOfUnity.finite_rootsOfUnity, TemperedDistribution.smulLeftCLM_sum, Module.finite_of_finite, Valued.integer.totallyBounded_iff_finite_residueField, AddSubgroup.IsComplement.finite_right_iff, Module.Finite.finite_basis, TemperedDistribution.instContinuousFourierInv, IsSimpleOrder.instFinite, AddSubgroup.finiteIndex_iff_finite_quotient, instFiniteZerothHomotopyOfCompactSpace, ModN.instFinite, PointwiseConvergenceCLM.evalCLM_apply, LinearIndependent.finite_of_isNoetherian, Module.finitePresentation_iff_exists_presentation, TemperedDistribution.fourier_apply, SchwartzMap.coe_apply, SheafOfModules.Presentation.IsFinite.finite_relations, IsArtinianRing.instFiniteMaximalSpectrum, Cardinal.mk_lt_aleph0_iff, Sylow.instFiniteQuotientSubgroupNormalizerOfFactPrime, Nat.finite_of_card_ne_zero, TemperedDistribution.smulLeftCLM_smul, AddSubgroup.quotient_finite_of_isOpen, PointwiseConvergenceCLM.withSeminorms, LinearIndependent.finite, instFinite_memPartition, Function.Bijective.finite_iff, TemperedDistribution.derivCLM_apply_apply, PointwiseConvergenceCLM.hasBasis_nhds_zero_of_basis, instFiniteConjClasses, CategoryTheory.Limits.FintypeCat.instFiniteObjCompFintypeCatIncl, Shrink.instFinite, instFiniteConnectedComponentsOfLocallyConnectedSpaceOfCompactSpace, CategoryTheory.Arrow.finite, ContinuousLinearMap.toPointwiseConvergenceCLM_apply, finite_iff_exists_equiv_fin, instFiniteSubtypeLeOfLocallyFiniteOrderBot, PrimeSpectrum.finite_of_toPiLocalization_pi_surjective, Subgroup.IsComplement.finite_left_iff, TemperedDistribution.fourierTransformInv_apply, Finite.of_finite_quot_finite_subgroup, MulEquiv.finite_right, PointwiseConvergenceCLM.isUniformEmbedding_coeFn, IsLocalRing.finite_quotient_iff, Subgroup.quotient_finite_of_isOpen, AffineBasis.finite, Topology.RelCWComplex.finite_iff_finite_cells, IsLocalRing.isOpen_iff_finite_quotient, AddEquiv.finite_right, Finite.of_not_infinite, CategoryTheory.PreGaloisCategory.has_decomp_connected_components, instFiniteSubtypeLeOfLocallyFiniteOrderTop, Set.finite_univ_iff, FintypeCat.instFiniteAut, CommGroup.finite_of_fg_torsion, Finite.of_surjective, Ideal.finiteQuotientOfFreeOfNeBot, Finite.prod_left, SSet.Finite.finite, instFiniteOption, SimpleGraph.Hom.instFinite, instFiniteSubtypeLtOfLocallyFiniteOrderBot, TemperedDistribution.laplacianCLM_apply, hallMatchingsOn.finite, instFiniteQuotientIdealOfIsMaximal, MeasureTheory.Lp.toTemperedDistribution_smul_eq, AddSubgroup.IsComplement.finite_left_iff, AddSubgroup.instFiniteQuotientSubtypeMemOpenAddSubgroupOfIsTopologicalAddGroupOfCompactSpace, Finite.sum_right, Algebra.QuasiFinite.finite_primeSpectrum, Sylow.finite_of_injective, AlgHom.IsArithFrobAt.finite_quotient, TemperedDistribution.smulLeftCLM_apply_apply, Prod.finite_iff, Finite.of_finite_univ, DivisionRing.finite_of_compactSpace_of_t2Space, Sylow.instFiniteSubtypeMemSubgroup, Finite.of_injective, FirstOrder.Language.Substructure.fg_iff_finite

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