Documentation Verification Report

IsEmpty

📁 Source: Mathlib/Logic/IsEmpty.lean

Statistics

MetricCount
DefinitionsIsEmpty
1
Theorems0
Total1

(root)

Definitions

NameCategoryTheorems
IsEmpty 📖CompData
181 mathmath: SimpleGraph.instIsEmptyElemForallObjOppositeFinsetComponentComplFunctorEndOfFinite, PSet.instIsEmptyTypeEmptyCollection, AlgebraicGeometry.Scheme.isEmpty_pullback_iff, Function.Embedding.isEmpty_of_card_lt, ModelWithCorners.instIsEmptyElemBoundaryOfBoundarylessManifold, FirstOrder.Language.isEmpty_empty, SimpleGraph.Hom.instIsEmptyOfForall, Set.univ_set_eq_singleton_empty_iff, Ordinal.isEmpty_toPGame_rightMoves, biTotal_iff_isEmpty_left, NonemptyInterval.instIsEmpty, SingularManifold.instIsEmptyMEmpty, Finset.isEmpty_coe_sort, Sigma.isEmpty_left, SetTheory.PGame.isEmpty_powHalf_zero_rightMoves, Function.isEmpty, WeakDual.CharacterSpace.instIsEmpty, rightTotal_iff_isEmpty_right, CategoryTheory.PreGaloisCategory.initial_iff_fiber_empty, AlgebraicGeometry.Scheme.isEmpty_of_commSq, SetTheory.PGame.isEmpty_leftMoves_mul, AlgebraicGeometry.isEmpty_of_commSq_sigmaι_of_ne, isEmpty_psigma, SetTheory.PGame.isEmpty_nim_zero_leftMoves, Metric.sphere_isEmpty_of_subsingleton, wellFounded_iff_isEmpty_descending_chain, ENat.card_eq_zero_iff_empty, not_isEmpty_of_nonempty, CategoryTheory.Limits.Types.initial_iff_empty, isEmpty_sigma, isEmpty_iff, instIsEmptyPSum, SimpleGraph.isEmpty_of_chromaticNumber_eq_zero, AlgebraicGeometry.instIsEmptyCarrierCarrierCommRingCatEmptyCollectionScheme, isEmpty_prod, PProd.isEmpty_left, linearIndependent_zero_iff, Ordinal.isEmpty_zero_toPGame_leftMoves, AlgebraicGeometry.Scheme.IdealSheafData.instIsEmptyCarrierCarrierCommRingCatSubschemeTop, Module.free_iff_exists_presentation, PrimeSpectrum.instIsEmptyOfSubsingleton, AlgebraicGeometry.isInitial_iff_isEmpty, Equiv.isEmpty_congr, nonempty_fun, WithTop.iInf_coe_eq_top, HasBesicovitchCovering.no_satelliteConfig, TopologicalSpace.NonemptyCompacts.isEmpty_iff, isEmpty_or_nonempty, OrderType.type_eq_zero, Sublattice.subsingleton_iff, Set.univ_eq_empty_iff, SetTheory.PGame.instIsEmptyInvTyTrue, Finite.card_eq_zero_iff, SimpleGraph.not_reachable_iff_isEmpty_walk, Set.isEmpty_coe_sort, Quotient.instIsEmpty, isEmpty_psum, Sym.instIsEmptySucc, SimpleGraph.cliqueFree_iff, Subtype.isEmpty_of_false, Quot.instIsEmpty, Projectivization.isEmpty_of_subsingleton, IsMaxChain.isEmpty_iff, ENat.iInf_coe_eq_top, SimpleGraph.ConnectedComponent.isEmpty, TopologicalSpace.NonemptyCompacts.instIsEmpty, CategoryTheory.finrank_hom_simple_simple_eq_zero_iff, IsEmpty.prop_iff, Prod.isEmpty_right, CategoryTheory.Limits.Concrete.empty_of_initial_of_preserves, PLift.instIsEmpty, FundamentalGroupoid.instIsEmpty, Set.pi_eq_empty_iff, SetTheory.PGame.isEmpty_zero_rightMoves, instIsEmptySubtype, ULift.instIsEmpty, AlgebraicIndependent.isEmpty_of_isAlgebraic, Prod.isEmpty_left, Cardinal.mk_eq_zero_iff, SetTheory.PGame.isEmpty_one_rightMoves, Equiv.isEmpty, uncountable_iff_isEmpty_embedding, TopologicalSpace.isTopologicalBasis_empty, AlgebraicGeometry.Scheme.Hom.ker_eq_top_iff_isEmpty, Order.krullDim_eq_bot_iff, CategoryTheory.instIsEmptyDiscrete, isEmpty_algebraRat_iff_mixedCharZero, not_nonempty_iff, Profinite.NobelingProof.instIsEmptySubtypeProductsIsGoodEmptyCollectionSetForallBool, Lean.Meta.FastIsEmpty.inst, SetTheory.PGame.identical_zero_iff, isEmpty_sum, acc_iff_isEmpty_descending_chain, isEmpty_plift, Set.range_eq_empty_iff, Option.subsingleton_iff_isEmpty, WithBot.instIsEmptySuccOrderOfNonempty, leftTotal_iff_isEmpty_left, FirstOrder.Language.order.instIsEmptyRelationsOfNatNat, SetTheory.PGame.birthday_eq_zero, isEmpty_pprod, AffineSubspace.isEmpty_bot, Module.finite_finsupp_iff, AlgebraicGeometry.AffineSpace.isIntegralHom_over_iff_isEmpty, isCofinal_empty_iff, Set.instIsEmptyElemEmptyCollection, isEmpty_of_chartedSpace, Fintype.card_eq_zero_iff, PrincipalSeg.instIsEmptyOfIsWellOrder, RelEmbedding.acc_iff_isEmpty_subtype_mem_range, isEmpty_pi, Sym2.instIsEmpty, isEmpty_subtype, WType.instIsEmpty, Fin.isEmpty', IsTranscendenceBasis.isEmpty_iff_isAlgebraic, SimpleGraph.cliqueFree_one, Ordinal.isEmpty_toType_zero, SetTheory.PGame.isEmpty_zero_leftMoves, not_isEmpty_iff, Finset.instIsEmpty, Ordinal.instIsEmptyIioZero, Fin.isEmpty, SetTheory.PGame.isEmpty_leftMoves_add, linearIndependent_subsingleton_iff, Equiv.ofLeftInverse_eq_ofInjective, Filter.coprodᵢ_eq_bot_iff', Besicovitch.isEmpty_satelliteConfig_multiplicity, Topology.RelCWComplex.FiniteDimensional.eventually_isEmpty_cell, CategoryTheory.Limits.WalkingMultispan.instIsEmptyHomRightLeft, WithTop.instIsEmptyPredOrderOfNonempty, IsMaxAntichain.isEmpty_iff, instIsEmptyFalse, PEmpty.instIsEmpty, AddOpposite.instIsEmpty, isEmpty_algebraicIndependent, SetTheory.PGame.isEmpty_rightMoves_mul, Subtype.isEmpty_false, Empty.instIsEmpty, FinEnum.card_eq_zero_iff, PrimeSpectrum.isEmpty_iff_subsingleton, Function.surjective_iff_isEmpty, AlgebraicGeometry.isEmpty_pullback_sigmaι_of_ne, LieModule.Weight.instIsEmptyOfSubsingleton, FundamentalGroupoid.isEmpty_iff, Ordinal.toType_empty_iff_eq_zero, RelSeries.instIsEmpty, Cardinal.iInf_eq_zero_iff, FirstOrder.Language.Substructure.instIsEmptySubtypeMemBotOfConstants, MulOpposite.instIsEmpty, Multiset.instIsEmptyToTypeOfNat, SymAlg.instIsEmpty, isEmpty_Prop, biTotal_iff_isEmpty_right, SetTheory.PGame.isEmpty_nat_rightMoves, TopologicalSpace.Compacts.subsingleton_iff, Finset.univ_finset_eq_singleton_empty_iff, Ordinal.type_eq_zero_iff_isEmpty, instIsEmptySum, Ordinal.lsub_eq_zero_iff, AlgebraicGeometry.Scheme.isEmpty_pullback, AlgebraicGeometry.spec_punit_isEmpty, Function.Embedding.is_empty, SimpleGraph.colorable_zero_iff, isEmpty_fintype, AlgebraicGeometry.initial_isEmpty, isEmpty_ulift, CategoryTheory.Limits.Concrete.initial_iff_empty_of_preserves_of_reflects, SimpleGraph.isEmpty_of_colorable_zero, Nat.card_eq_zero, ENNReal.iInf_coe_eq_top, Function.Surjective.isEmpty, Finset.univ_eq_empty_iff, PProd.isEmpty_right, Multiset.instIsEmptyToTypeEmptyCollection, RelEmbedding.wellFounded_iff_isEmpty, Finset.isEmpty_of_forall_eq_empty, SetTheory.PGame.isEmpty_nim_zero_rightMoves, FirstOrder.Language.isEmpty_functions_constantsOn_succ, SetTheory.PGame.isEmpty_rightMoves_add, isEmpty_fun

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