Documentation Verification Report

TFAE

📁 Source: Mathlib/Data/List/TFAE.lean

Statistics

MetricCount
DefinitionsTFAE
1
Theoremsnot, out, exists_tfae, forall_tfae, tfae_cons_cons, tfae_cons_of_mem, tfae_cons_self, tfae_nil, tfae_not_iff, tfae_of_cycle, tfae_of_forall, tfae_singleton
12
Total13

List

Definitions

NameCategoryTheorems
TFAE 📖MathDef
86 mathmath: mapClusterPt_atTop_pow_tfae, ConvexOn.continuousOn_tfae, CategoryTheory.Bicategory.isLeftAdjoint_TFAE, tfae_cons_of_mem, noZeroDivisors_tfae, MeasureTheory.Measure.mutuallySingular_tfae, traceForm_nondegenerate_tfae, CondensedMod.isDiscrete_tfae, tfae_nil, BoxIntegral.Box.le_TFAE, IsBezout.TFAE, RCLike.is_real_TFAE, ValuationRing.TFAE, LinearMap.charpoly_nilpotent_tfae, Profinite.effectiveEpi_tfae, LightCondMod.isDiscrete_tfae, IsSimpleRing.tfae, Matroid.isLoop_tfae, CategoryTheory.Abelian.tfae_epi, Ring.krullDimLE_zero_and_isLocalRing_tfae, mapClusterPt_atTop_nsmul_tfae, Stonean.effectiveEpiFamily_tfae, tfae_of_cycle, Function.Exact.split_tfae, ContinuousLinearMap.IsIdempotentElem.TFAE, Set.WellFoundedOn.acc_iff_wellFoundedOn, t1Space_TFAE, tfae_singleton, IsSemisimpleModule.finite_tfae, norm_inner_eq_norm_tfae, NormedSpace.equicontinuous_TFAE, tfae_of_isNoetherianRing_of_isLocalRing_of_isDomain, tfae_cons_self, LinearMap.hasEigenvalue_zero_tfae, Ideal.isCoprime_tfae, WithSeminorms.equicontinuous_TFAE, TFAE_mem_nhdsGT, TopologicalSpace.noetherianSpace_TFAE, isNilpotent_of_finite_tfae, tfae_not_iff, Ordinal.mem_closure_tfae, fermatLastTheoremWith_nat_int_rat_tfae, Function.Exact.split_tfae', tendstoLocallyUniformlyOn_TFAE, CategoryTheory.Functor.preservesFiniteLimits_tfae, HenselianLocalRing.TFAE, tfae_cons_cons, tfae_of_forall, IsLocallyConstant.tfae, MeasureTheory.smulInvariantMeasure_tfae, IsLocalRing.not_isLocalRing_tfae, TFAE_mem_nhdsGE, CondensedSet.isDiscrete_tfae, IsArtinianRing.tfae, CompHaus.effectiveEpi_tfae, isLocallyClosed_tfae, Matroid.isColoop_tfae, IsDiscreteValuationRing.TFAE, regularSpace_TFAE, TFAE_mem_nhdsLE, CStarAlgebra.isStrictlyPositive_TFAE, AddCommGroup.tfae_modEq, CompleteLattice.wellFoundedGT_characterisations, ConcaveOn.continuousOn_tfae, CategoryTheory.Abelian.tfae_mono, LightCondSet.isDiscrete_tfae, Module.Flat.tfae_equational_criterion, TFAE_mem_nhdsLT, CStarAlgebra.nonneg_TFAE, fermatLastTheoremWith'_nat_int_tfae, IsGalois.tfae, Valuation.isEquiv_tfae, PrimeSpectrum.isOpen_singleton_tfae_of_isNoetherian_of_isJacobsonRing, LinearMap.not_hasEigenvalue_zero_tfae, TFAE_exists_lt_isLittleO_pow, CompHaus.effectiveEpiFamily_tfae, CategoryTheory.Functor.exact_tfae, CategoryTheory.Functor.preservesFiniteColimits_tfae, IsLocalRing.local_hom_TFAE, Profinite.effectiveEpiFamily_tfae, MeasureTheory.vaddInvariantMeasure_tfae, specializes_TFAE, CategoryTheory.Bicategory.isRightAdjoint_TFAE, Stonean.effectiveEpi_tfae, isCyclic_tfae, CategoryTheory.Monoidal.Reflective.isIso_tfae

Theorems

NameKindAssumesProvesValidatesDepends On
exists_tfae 📖TFAE
forall_tfae 📖TFAE
tfae_cons_cons 📖mathematicalTFAEtfae_cons_of_mem
tfae_cons_of_mem 📖mathematicalTFAE
tfae_cons_self 📖mathematicalTFAE
tfae_nil 📖mathematicalTFAE
tfae_not_iff 📖mathematicalTFAE
tfae_of_cycle 📖mathematicalTFAE
tfae_of_forall 📖mathematicalTFAE
tfae_singleton 📖mathematicalTFAE

List.TFAE

Theorems

NameKindAssumesProvesValidatesDepends On
not 📖List.TFAEList.tfae_not_iff
out 📖List.TFAE

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