name
stringlengths
2
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module
stringlengths
6
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deps
listlengths
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allowCompletion
bool
2 classes
Std.DTreeMap.Raw.get!_inter_of_mem_right
Std.Data.DTreeMap.Raw.Lemmas
[ "Std.DTreeMap.Raw.instMembership", "Ord.mk", "Membership.mem", "Ordering", "Std.DTreeMap.Internal.Impl.get!_inter!_of_contains_right", "Std.TransCmp", "Inter.inter", "Std.DTreeMap.Raw.instInter", "Std.DTreeMap.Raw.get!", "Std.DTreeMap.Raw.WF.out", "Std.LawfulEqCmp", "Std.DTreeMap.Raw.inner", ...
true
OrderIso.sumLexIioIci_symm_apply_of_ge
Mathlib.Order.Hom.Lex
[ "Eq.mpr", "Sum.Lex.LE", "Equiv.instEquivLike", "Set.Ici", "congrArg", "Lex", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Set.Elem", "DistribLattice.toLattice", "Sum", "id", "Equiv", "OrderIso.symm_apply_eq", "OrderI...
true
DyckWord.insidePart._proof_1
Mathlib.Combinatorics.Enumerative.DyckWord
[ "instDecidableEqDyckStep", "DyckStep.U", "DyckWord.insidePart._proof_6", "DyckWord.insidePart._proof_2", "DyckWord.count_take_firstReturn_add_one", "DyckWord", "Ne", "instOfNatNat", "instBEqOfDecidableEq", "instZeroDyckWord", "instHAdd", "And", "List.count", "HAdd.hAdd", "Nat", "And.in...
false
Finset.mul_prod_Ioo_eq_prod_Ico
Mathlib.Algebra.Order.BigOperators.Group.LocallyFinite
[ "Eq.mpr", "Finset.left_notMem_Ioo", "Preorder.toLT", "HMul.hMul", "Monoid.toMulOneClass", "Finset.cons", "congrArg", "Finset", "PartialOrder.toPreorder", "PartialOrder", "id", "MulOne.toMul", "Finset.Ico", "Finset.prod", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "LT.lt", "Fins...
true
Std.HashMap.Raw.getKey?_alter
Std.Data.HashMap.RawLemmas
[ "Std.HashMap.Raw.getKey?", "Std.HashMap.Raw.WF.out", "Std.HashMap.Raw.alter", "Option.some", "Membership.mem", "instDecidableEqBool", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "Bool.true", "Option.none", "BEq.beq", "EquivBEq", "Std.HashMap.Raw.instGetElem?Mem", "Std.DHas...
true
_private.Std.Data.DTreeMap.Raw.Lemmas.0.Std.DTreeMap.Raw.Const.contains_of_contains_insertMany_list'._simp_1_1
Std.Data.DTreeMap.Raw.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
Rat.lt_of_mul_lt_mul_left
Init.Data.Rat.Lemmas
[ "Rat.instOfNat", "False", "Rat.instMul", "HMul.hMul", "congrArg", "False.elim", "Rat", "Rat.le_of_lt", "Eq.mp", "Ne", "Rat.lt_irrefl", "LE.le", "Rat.instLE", "Rat.zero_mul", "Rat.lt_of_le_of_ne", "Rat.le_of_mul_le_mul_left", "congr", "LT.lt", "Eq.ndrec", "Rat.instLT", "Rat.lt...
true
List.finIdxOf?_cons
Init.Data.List.Find
[ "instNeZeroNatHAdd_1", "Fin.succ", "congrArg", "Option.some", "List.findFinIdx?_cons", "Fin.mk", "Fin.instOfNat", "instDecidableEqBool", "instOfNatNat", "List.cons", "Bool.true", "List.findFinIdx?", "List", "instHAdd", "Option.map", "BEq.beq", "HAdd.hAdd", "Nat.instNeZeroSucc", "...
true
BitVec.sub_neg
Init.Data.BitVec.Lemmas
[ "instPowNat", "BitVec.toInt_neg", "congrArg", "Int.sub_bmod_bmod", "HSub.hSub", "BitVec.instAdd", "BitVec", "Int.instNegInt", "instOfNatNat", "Int", "BitVec.eq_of_toInt_eq", "BitVec.instNeg", "instNatPowNat", "instHAdd", "BitVec.instSub", "instHSub", "HPow.hPow", "HAdd.hAdd", "In...
true
_private.Mathlib.Algebra.Homology.SpectralObject.Page.0.CategoryTheory.Abelian.SpectralObject.rightHomologyDataShortComplex._proof_4
Mathlib.Algebra.Homology.SpectralObject.Page
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian.SpectralObject.cokernelSequenceOpcycles", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.Abelian", "CategoryTheory.Abelian.SpectralObject", "Int", "CategoryTheory.Abelian.Spectr...
false
Array.countP_empty
Init.Data.Array.Count
[ "instOfNatNat", "List.toArray", "Array.countP", "Nat", "Bool", "OfNat.ofNat", "Eq", "rfl", "List.nil" ]
true
_private.Batteries.Data.Fin.Lemmas.0.Fin.find?_le_findRev?._proof_1_1
Batteries.Data.Fin.Lemmas
[ "instLEOption", "False", "eq_false", "Classical.byContradiction", "Eq.mp", "id", "LE.le", "instLEFin", "Option.none", "Nat", "True", "eq_true", "Eq.refl", "Eq.symm", "Fin", "Not", "Eq.trans", "Option.none_le", "True.intro", "Option" ]
false
NumberField.InfinitePlace.IsRamified.ne_conjugate
Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification
[ "Eq.mpr", "NumberField.ComplexEmbedding.conjugate", "NumberField.ComplexEmbedding.IsReal", "congrArg", "NumberField.InfinitePlace.mk_embedding", "NumberField.InfinitePlace.IsComplex", "NumberField.InfinitePlace.comap", "Algebra", "Classical.propDecidable", "Mathlib.Tactic.Contrapose.contrapose₄", ...
true
CategoryTheory.Cat.opEquivalence._proof_4
Mathlib.CategoryTheory.Category.Cat.Op
[ "CategoryTheory.Cat.category", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.opOp", "CategoryTheory.Bundled.str", "CategoryTheory.Functor.toCatHom", "CategoryTheory.Functor.comp", "CategoryTheory.Cat.str", "CategoryTheory.Functor.id", "id", "CategoryTheory...
false
_private.Mathlib.Tactic.Module.0.Mathlib.Tactic.Module.qNF.sub._unary._proof_3
Mathlib.Tactic.Module
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Nat.instCanonicallyOrderedAdd", "Lean.RArray.leaf", "Preorder.toLT", "Mathlib.Tactic.Module.NF", "Nat.instIsOrderedAddMonoid", "Nat.instOne", "Mathlib.Tactic.Module.qNF", "congrArg", "instIsLeftCancelAddOfAddLeftReflectLE", "true_or", "in...
false
_private.Mathlib.Topology.MetricSpace.Bounded.0.Metric.isBounded_iff_subset_ball.match_1_1
Mathlib.Topology.MetricSpace.Bounded
[ "Real", "Exists", "Metric.ball", "HasSubset.Subset", "PseudoMetricSpace", "Exists.casesOn", "Exists.intro", "Set.instHasSubset", "Set" ]
false
Lean.Grind.CommRing.Expr.intCast
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Expr", "Int", "Lean.Grind.CommRing.Expr.intCast" ]
true
_private.Mathlib.Topology.Separation.Regular.0.SeparatedNhds.of_isCompact_isClosed._simp_1_2
Mathlib.Topology.Separation.Regular
[ "RegularSpace", "Filter.instCompleteLatticeFilter", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "Membership.mem", "nhds", "CompleteLattice.toBoundedOrder", "TopologicalSpace", "disjoint_nhds_nhdsSet", "closure", "BoundedOrder.toOrderBot", "propext", "nhdsSet", "Eq", "Set.in...
false
ContinuousMap.abs_mem_subalgebra_closure
Mathlib.Topology.ContinuousMap.StoneWeierstrass
[ "Subalgebra.instSetLike", "NormedCommRing.toNormedRing", "Norm.norm", "NormedCommRing.toSeminormedCommRing", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Real.lattice", "ContinuousMap.instNorm", "IsTopologicalRing.toIsTopologicalSemiring", "continuous_subtype_val", "abs", "Continu...
true
IsLprojection.instLatticeSubtypeOfFaithfulSMul
Mathlib.Analysis.Normed.Module.MStructure
[ "SemilatticeSup.mk", "Lattice", "IsLprojection", "IsLprojection.Subtype.sup", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsLprojection.instLatticeSubtypeOfFaithfulSMul._proof_3", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Subtype", "DistribSMul.toSMulZeroClass...
true
Nat.leRecOn_injective
Mathlib.Data.Nat.Basic
[ "Nat.le_refl", "Nat.leRecOn_succ", "congrArg", "Eq.mp", "instOfNatNat", "LE.le", "Nat.le.rec", "instLENat", "Nat.le.step", "instHAdd", "HAdd.hAdd", "Nat.le", "Nat.leRecOn", "Nat", "Nat.leRecOn_self", "instAddNat", "Nat.le.refl", "Function.Injective", "OfNat.ofNat", "Nat.succ", ...
true
Nat.Prime.dvd_choose_pow
Mathlib.Data.Nat.Multiplicity
[ "Nat.Prime.emultiplicity_choose_prime_pow_add_emultiplicity", "Nat.Prime", "Preorder.toLT", "Dvd.dvd", "Nat.choose", "instAddMonoidWithOneENat", "Nat.instSemigroupWithZero", "ENat.instNatCast", "congrArg", "CommSemiring.toSemiring", "Nat.instMonoid", "AddMonoid.toAddZeroClass", "PartialOrder...
true
QuaternionAlgebra.Basis.casesOn
Mathlib.Algebra.QuaternionBasis
[ "CommRing", "instHSMul", "HMul.hMul", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "Algebra", "Algebra.toSMul", "Distrib.toAdd", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "NonAssocRing.toNonUnitalNonAssocRing", "Quaternion...
false
EMetric.NonemptyCompacts.isClosed_in_closeds
Mathlib.Topology.MetricSpace.Closeds
[ "TopologicalSpace.NonemptyCompacts.toCloseds", "CompleteSpace", "TopologicalSpace.NonemptyCompacts", "TopologicalSpace.Closeds.uniformSpace", "TopologicalSpace.NonemptyCompacts.isClosed_in_closeds", "EMetricSpace.metrizableSpace", "EMetricSpace.toPseudoEMetricSpace", "EMetricSpace", "IsClosed", "P...
true
LinearMap.isNilpotent_mulRight_iff
Mathlib.RingTheory.Nilpotent.Lemmas
[ "LinearMap.pow_mulRight", "Eq.mpr", "Module.End.instMonoid", "IsScalarTower.right", "congrArg", "CommSemiring.toSemiring", "Algebra", "NonUnitalNonAssocSemiring.toMulZeroClass", "Algebra.toModule", "Eq.mp", "id", "LinearMap", "Monoid.toPow", "CommSemiring", "NonUnitalNonAssocSemiring.toA...
true
Equiv.toIso_hom
Mathlib.CategoryTheory.Types.Basic
[ "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Equiv", "Equiv.toIso", "CategoryTheory.types", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Iso.hom", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
_private.Mathlib.Data.Fin.Basic.0.Fin.cast_injective._simp_1_1
Mathlib.Data.Fin.Basic
[ "Fin.val", "Nat", "propext", "Eq.symm", "Fin", "Eq", "Fin.val_eq_val" ]
false
Lean.Language.Lean.CommandParsedSnapshot.below_1
Lean.Language.Lean.Types
[ "Task", "Lean.Language.Lean.CommandElaboratingSnapshot", "Lean.Syntax", "Lean.Parser.ModuleParserState", "Lean.Language.SnapshotTask", "PProd", "PUnit", "Lean.Language.SnapshotTask.ReportingRange", "Lean.Language.Snapshot", "Lean.Language.Lean.CommandParsedSnapshot", "IO.CancelToken", "Lean.La...
false
_private.Lean.Meta.Tactic.Grind.Arith.Linear.PropagateEq.0.Lean.Meta.Grind.Arith.Linear.updateDiseqs.match_3
Lean.Meta.Tactic.Grind.Arith.Linear.PropagateEq
[ "Lean.PArray", "Prod.mk", "Int", "Array", "Prod", "Prod.casesOn", "Lean.Meta.Grind.Arith.Linear.DiseqCnstr" ]
false
TensorProduct.finsuppLeft._proof_1
Mathlib.LinearAlgebra.DirectSum.Finsupp
[ "Finsupp.smulZeroClass", "Finsupp.smulCommClass", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "Algebra", "Algebra.toSMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "CommSemiring", "AddZero.toZero",...
false
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.nodup_insertRupUnits._proof_1_3
Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult
[ "instOfNatNat", "And", "And.right", "Nat", "LT.lt", "instLTNat", "OfNat.ofNat", "Subtype.val", "Std.Tactic.BVDecide.LRAT.Internal.PosFin", "Subtype.property" ]
false
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.Lemmas.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.deleteOne_preserves_strongAssignmentsInvariant.match_1_3
Std.Tactic.BVDecide.LRAT.Internal.Formula.Lemmas
[ "Option.casesOn", "Option.some", "Option.none", "Nat", "Eq.refl", "Std.Tactic.BVDecide.LRAT.Internal.DefaultClause", "Eq", "Option" ]
false
rieszContentAux_image_nonempty
Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Basic
[ "instWeaklyLocallyCompactSpaceOfLocallyCompactSpace", "NNReal.instTopologicalSpace", "Iff.mpr", "Set.image_nonempty", "Eq.mpr", "Real.instLE", "Real", "Semiring.toModule", "interior_subset", "Real.instZero", "Real.instZeroLEOneClass", "congrArg", "Set.Subset.trans", "CompactlySupportedCont...
true
Finset.orderIsoOfFin._proof_4
Mathlib.Data.Finset.Sort
[ "Finset", "LinearOrder", "Finset.orderIsoOfFin._proof_2", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "LinearOrder.toDecidableLE", "DistribLattice.toLattice", "LE.le", "instIsTransLe", "Nat", "Finset.card", "Finset.orderIsoOfFin._proof_3", "Finset.length_so...
false
Lean.Meta.AbstractNestedProofs.Context
Lean.Meta.AbstractNestedProofs
[ "Lean.Meta.AbstractNestedProofs.Context.mk" ]
true
MeasurableSpace.monotone_map
Mathlib.MeasureTheory.MeasurableSpace.Basic
[ "MeasurableSpace.map_mono", "MeasurableSpace.instPartialOrder", "PartialOrder.toPreorder", "Monotone", "MeasurableSpace.map", "MeasurableSpace" ]
true
List.pairwise_le_finRange
Batteries.Data.List.Lemmas
[ "List.Pairwise.pmap", "Eq.mpr", "List.Pairwise", "congrArg", "Membership.mem", "Fin.mk", "id", "List.mem_range._simp_1", "List.pairwise_le_range", "List.range", "LE.le", "instLENat", "imp_self._simp_1", "instLEFin", "List.pmap", "List", "List.instMembership", "implies_congr", "Na...
true
HahnSeries.cardSuppLTAddSubgroup
Mathlib.RingTheory.HahnSeries.Cardinal
[ "AddGroup.toSubtractionMonoid", "Cardinal", "AddMonoid.toAddZeroClass", "Fact", "AddZeroClass.toAddZero", "PartialOrder", "AddSubmonoid", "SubtractionMonoid.toSubNegZeroMonoid", "Cardinal.aleph0", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "Cardinal.instLE", "AddSubgroup", "AddZero.toZero...
true
CompositionAsSet.length.eq_1
Mathlib.Combinatorics.Enumerative.Composition
[ "CompositionAsSet", "HSub.hSub", "instSubNat", "instOfNatNat", "CompositionAsSet.boundaries", "instHSub", "Nat", "Finset.card", "Eq.refl", "OfNat.ofNat", "Fin", "Nat.succ", "Eq", "CompositionAsSet.length" ]
true
VAddCon._sizeOf_inst
Mathlib.Algebra.Module.Congruence.Defs
[ "VAddCon._sizeOf_1", "VAdd", "VAddCon", "SizeOf.mk", "SizeOf" ]
false
Filter.Tendsto.units._proof_1
Mathlib.Topology.Algebra.Monoid
[ "Monoid", "Units.val", "MulOne.toOne", "tendsto_const_nhds_iff._simp_1", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "Filter.NeBot", "nhds", "Units", "Eq.mp", "MulOne.toMul", "Units.mul_inv", "Filter.Tendsto.mul", "TopologicalSpace", "funext", "MulOneClass.toMulOne", "Continuo...
false
Lean.Meta.Grind.UnitLike.State.ctorIdx
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Grind.UnitLike.State", "Nat" ]
false
CommMonoidWithZero.rec
Mathlib.Algebra.GroupWithZero.Defs
[ "Semigroup.toMul", "HMul.hMul", "CommMonoid.toMonoid", "CommMonoidWithZero.mk", "CommMonoidWithZero", "Monoid.toSemigroup", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "CommMonoid", "instHMul", "Zero" ]
false
GrpCat.ext_iff
Mathlib.Algebra.Category.Grp.Basic
[ "GrpCat.instConcreteCategoryMonoidHomCarrier", "GrpCat", "MonoidHom.instFunLike", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "GrpCat.str", "Monoid.toMulOneClass", "CategoryTheory.ConcreteCategory.hom", "HEq.refl", "Eq.casesOn", "DivInvMonoid.toMonoid", "Group.toDivI...
true
ModN.natCard_eq
Mathlib.LinearAlgebra.FreeModule.ModN
[ "IsNoetherianRing.strongRankCondition", "Nat.instMulZeroClass", "ModN._proof_2", "Semiring.toModule", "PrincipalIdealRing.isNoetherianRing", "Finsupp.module", "ZMod.commRing", "Submodule.Quotient.addCommGroup", "congrArg", "CommSemiring.toSemiring", "Int.euclideanDomain", "AddCommGroup.toAddCo...
true
CategoryTheory.MonoidalCategory.prodMonoidal._proof_15
Mathlib.CategoryTheory.Monoidal.Category
[ "CategoryTheory.MonoidalCategory.prodMonoidal.match_1", "CategoryTheory.Category.assoc", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.Iso.inv_hom_id", "CategoryTheory.prod", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory.id_whiskerLeft"...
false
Algebra.traceMatrix_reindex
Mathlib.RingTheory.Trace.Basic
[ "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Equiv.instEquivLike", "HMul.hMul", "CommRing.toNonUnitalCommRing", "congrArg", "CommSemiring.toSemiring", "Matrix", "LinearMap.instFunLike", "Algebra", "Function.comp", "Algebra.toModule", "Equiv", "NonUni...
true
Algebra.instCompleteLatticeSubalgebra
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "Algebra.instCompleteLatticeSubalgebra._proof_3", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "CommSemiring.toSemiring", "Algebra.instCompleteLatticeSubalgebra._proof_2", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Algebra.adjoin", "CompleteLatt...
true
Matrix.vecMulBilin._proof_6
Mathlib.LinearAlgebra.Matrix.ToLin
[ "Pi.Function.module", "instHSMul", "Matrix.add", "Pi.addCommMonoid", "DistribMulAction.toDistribSMul", "Matrix", "AddMonoid.toAddZeroClass", "Matrix.vecMul", "AddZeroClass.toAddZero", "Distrib.toAdd", "DistribSMul.toSMulZeroClass", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZero...
false
_private.Init.Data.String.Lemmas.Pattern.Basic.0.String.Slice.Pattern.Model.matchesAt_iff_exists_isMatch._simp_1_5
Init.Data.String.Lemmas.Pattern.Basic
[ "String.instLEPos_1", "String.Slice.sliceFrom", "String.Slice.Pos.ofSliceFrom_le_ofSliceFrom_iff", "String.Slice", "LE.le", "String.Slice.Pos.ofSliceFrom", "propext", "String.Slice.Pos", "Eq.symm", "Eq" ]
false
truncSigmaOfExists._proof_1
Mathlib.Data.Fintype.Basic
[ "Exists", "Nonempty.intro", "PSigma.mk", "Nonempty", "PSigma", "Exists.elim" ]
false
Int.add_neg
Init.Data.Int.Order
[ "Eq.rec", "Int", "Int.instLTInt", "instHAdd", "instOfNat", "HAdd.hAdd", "LT.lt", "Int.instAdd", "Int.add_lt_add", "OfNat.ofNat", "Int.zero_add", "Eq" ]
true
LieAlgebra.polyCharpoly_coeff_rank_ne_zero
Mathlib.Algebra.Lie.Rank
[ "LieAlgebra.toModule", "Nontrivial", "Module.End.instRing", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "LieAlgebra.rank", "LieRing.toAddCommGroup", "LinearMap.polyCharpoly", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieAlgebra.ad", "LinearMap.polyCharp...
true
CategoryTheory.BasedCategory.whiskerLeft_toNatTrans
Mathlib.CategoryTheory.FiberedCategory.BasedCategory
[ "CategoryTheory.Functor", "CategoryTheory.BasedFunctor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.BasedNatTrans.toNatTrans", "CategoryTheory.Functor.comp", "CategoryTheory.BasedCategory.whiskerLeft", "CategoryTheory.instCategoryObj", ...
true
Int.instTransLe
Init.Data.Int.Order
[ "Int", "LE.le", "Trans", "Int.le_trans", "Trans.mk", "Int.instLEInt" ]
true
List.forIn_map
Init.Data.List.Monadic
[ "Pure.pure", "congrArg", "instForInOfForIn'", "Monad.toApplicative", "List.map", "inferInstance", "LawfulMonad", "ForIn.forIn", "List.rec", "Applicative.toPure", "Membership", "ForInStep", "List.forIn_cons", "List.cons", "funext", "List", "List.instMembership", "List.forIn'_cons.ma...
true
Left.neg_lt_self
Mathlib.Algebra.Order.Group.Unbundled.Basic
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Preorder.toLT", "Left.neg_neg_iff", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "AddGroup", "AddLeftStrictMono", "AddGroup.toSubNegMonoid", "...
true
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.ult._regBuiltin.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.ult.declare_1._@.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.2445608185._hygCtx._hyg.16
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc
[ "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.ult", "IO", "Lean.Elab.Tactic.BVDecide.Frontend.addBVNormalizeProcBuiltinAttr", "Lean.Name.mkStr7", "Sum.inl", "Bool.true", "Unit", "Lean.Meta.Simp.DSimproc", "Lean.Meta.Simp.Simproc" ]
false
BitVec.equivFin._proof_1
Mathlib.Data.BitVec
[ "Function.LeftInverse", "Nat.instMonoid", "BitVec.ofFin", "BitVec", "BitVec.toFin", "instOfNatNat", "Monoid.toPow", "HPow.hPow", "Nat", "Eq.refl", "instHPow", "OfNat.ofNat", "Fin" ]
false
EReal.neg_mul
Mathlib.Data.EReal.Operations
[ "EReal.bot_mul_coe_of_neg", "Eq.mpr", "NegZeroClass.toNeg", "EReal.bot_mul_coe_of_pos", "Real.partialOrder", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "EReal.instMulZeroOneClass", "CommRing.toNonUnitalCommRing", "Real.instZero", "EReal.top_mul_coe_of_pos", "congrA...
true
Std.IdempotentOp.idempotent
Init.Core
[ "Eq", "Std.IdempotentOp" ]
true
LinearEquiv.conjAlgEquiv
Mathlib.Algebra.Algebra.Equiv
[ "RingEquiv.toEquiv", "LinearEquiv.conjAlgEquiv._proof_1", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "SMul", "AddMonoid.toAddZeroClass", "Module.End.instSemiring", "Module.End.instMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap.instA...
true
Lean.Compiler.LCNF.Closure.State.rec
Lean.Compiler.LCNF.Closure
[ "Lean.Compiler.LCNF.Closure.State.mk", "Lean.Compiler.LCNF.Purity.pure", "Array", "Lean.Compiler.LCNF.CodeDecl", "Lean.Compiler.LCNF.Closure.State", "Lean.Compiler.LCNF.Param", "Lean.FVarIdHashSet" ]
false
CategoryTheory.Monad.monadToMon._proof_2
Mathlib.CategoryTheory.Monad.EquivMon
[ "CategoryTheory.Monad", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.id", "id", "CategoryTheory.MonadHom.app_η", "CategoryTheory.MonObj.one", "funext", ...
false
HahnModule.instSMulZeroClass
Mathlib.RingTheory.HahnSeries.Multiplication
[ "HahnModule.instZero", "SMulZeroClass", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "HahnModule.instSMul", "Preorder.toLE", "HahnModule", "HahnModule.instSMulZeroClass._proof_1", "AddZeroClass.toAddZero", "PartialOrder", "VAdd", "SMulZeroClass.mk", "AddCommMonoid", "AddZero.toZe...
true
_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Rcc.size_eq_if_roc._simp_1_2
Init.Data.Range.Polymorphic.Lemmas
[ "Std.PRange.UpwardEnumerable", "Std.Rxc.HasSize", "Std.Rxc.LawfulHasSize", "instOfNatNat", "LE.le", "LE", "Nat", "propext", "Std.Rxc.size_eq_zero_iff_not_le", "Std.Rxc.HasSize.size", "OfNat.ofNat", "Eq", "Not" ]
false
HasMFDerivAt.mdifferentiableAt
Mathlib.Geometry.Manifold.MFDeriv.Basic
[ "Eq.mpr", "extChartAt", "NormedSpace", "mdifferentiableAt_iff", "congrArg", "ContinuousAt", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "MDifferentiableAt", "HasFDerivWithinAt", "NormedField.toField", "HasMFDerivAt", "id", "instModuleTangen...
true
CategoryTheory.ChosenPullbacksAlong.cartesianMonoidalCategoryFst._proof_2
Mathlib.CategoryTheory.LocallyCartesianClosed.ChosenPullbacksAlong
[ "CategoryTheory.Category.assoc", "CategoryTheory.Over", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Comma.left", "CategoryTheory.Over.mk", "CategoryTheory.Functor.id", "CategoryTheory.SemiCartesianMonoidalCategory.snd", "Categ...
false
AddMonoidAlgebra.ofMagma
Mathlib.Algebra.MonoidAlgebra.Defs
[ "MulHom", "NonAssocSemiring.toAddCommMonoidWithOne", "Equiv.instEquivLike", "Equiv", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddMonoidAlgebra.ofMagma._proof_1", "AddMonoidWithOne.toOne", "AddMonoidAlgebra.instMul", "Multiplicative", "MulHom.mk", "Semiring", "One.toOfNat1", "Multiplicativ...
true
CategoryTheory.MorphismProperty.Over.map.congr_simp
Mathlib.CategoryTheory.MorphismProperty.OverAdjunction
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.MorphismProperty.Over.map", "CategoryTheory.MorphismProperty.IsMultiplicative.instTop", "CategoryTheory.Mor...
true
CategoryTheory.Aut.autMulEquivOfIso._proof_13
Mathlib.CategoryTheory.Endomorphism
[ "CategoryTheory.Category.assoc", "CategoryTheory.Iso.inv_hom_id", "HMul.hMul", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Monoid.toMulOneClass", "congrArg", "CategoryTheory.CategoryStruct.id", "MulOne.toMul", "CategoryTheory.Iso", "DivInvMonoid.toMonoid", "CategoryTheory.Iso.mk",...
false
MonoidWithZeroHom.funLike._proof_1
Mathlib.Algebra.GroupWithZero.Hom
[ "MulOne.toOne", "HMul.hMul", "ZeroHom.toFun", "ZeroHom.casesOn", "MonoidWithZeroHom.toZeroHom", "Eq.rec", "MulOne.toMul", "MulZeroOneClass", "ZeroHom.mk", "ZeroHom", "MulZeroOneClass.toMulOneClass", "MulOneClass.toMulOne", "MonoidWithZeroHom", "MonoidWithZeroHom.casesOn", "Eq.ndrec", "...
false
Nonneg.one
Mathlib.Algebra.Order.Nonneg.Basic
[ "One", "One.mk", "Subtype", "ZeroLEOneClass", "LE.le", "LE", "zero_le_one", "Subtype.mk", "One.toOfNat1", "Zero.toOfNat0", "OfNat.ofNat", "Zero" ]
true
Nondet.bind.match_3
Batteries.Control.Nondet.Basic
[ "Unit.unit", "Option.casesOn", "Option.some", "Prod.mk", "Option.none", "Unit", "Prod", "Prod.casesOn", "MLList", "Option" ]
false
_private.Mathlib.MeasureTheory.Function.UnifTight.0.MeasureTheory.unifTight_of_tendsto_Lp
Mathlib.MeasureTheory.Function.UnifTight
[ "MeasureTheory.UnifTight.add", "Eq.mpr", "MeasureTheory.Measure", "Preorder.toLT", "congrArg", "MeasureTheory.AEStronglyMeasurable.sub", "PartialOrder.toPreorder", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "nhds", "SeminormedAddGroup.toContinuousENorm", "id", "Ne", "MeasureTheory.Me...
true
Lean.Meta.Simp.registerBuiltinSimproc
Lean.Meta.Tactic.Simp.Simproc
[ "Lean.Meta.SimpTheoremKey", "IO", "Sum.inl", "Array", "Unit", "Lean.Meta.Simp.registerBuiltinSimprocCore", "Lean.Meta.Simp.DSimproc", "Lean.Name", "Lean.Meta.Simp.Simproc" ]
true
_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_714
Mathlib.GroupTheory.Perm.Cycle.Type
[ "List.countP", "Finset.mem_singleton", "of_eq_false", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_713", "Equiv.instEquivLike", "List.idxOfNth...
false
_private.Mathlib.Data.Sign.Basic.0.sign_sum._simp_1_1
Mathlib.Data.Sign.Basic
[ "LinearOrder", "PartialOrder.toPreorder", "SignType.instLinearOrder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "SignType.instZero", "OrderHom.instFunLike", "LinearOrder.toDecidableLT", "sign_eq_zero_iff", "propext", "SignType", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "D...
false
TopologicalSpace.CompactOpens.instInf._proof_1
Mathlib.Topology.Sets.Compacts
[ "TopologicalSpace.CompactOpens.toCompacts", "TopologicalSpace.Compacts.isCompact'", "TopologicalSpace.Compacts.carrier", "Set.instInter", "TopologicalSpace.CompactOpens", "Inter.inter", "TopologicalSpace", "TopologicalSpace.CompactOpens.isOpen'", "QuasiSeparatedSpace.inter_isCompact", "QuasiSepara...
false
ZeroAtInftyContinuousMap.instStarModule
Mathlib.Topology.ContinuousMap.ZeroAtInfty
[ "instHSMul", "ZeroAtInftyContinuousMap.instSMul", "SMulWithZero.toSMulZeroClass", "ContinuousStar", "StarModule.star_smul", "AddMonoid.toAddZeroClass", "ZeroAtInftyContinuousMap.ext", "AddZeroClass.toAddZero", "ZeroAtInftyContinuousMap.instFunLike", "ZeroAtInftyContinuousMap.instStar", "Continuo...
true
CategoryTheory.Limits.CategoricalPullback.mkIso._proof_3
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.hom_inv_id", "CategoryTheory.Limits.CategoricalPullback.fst", "CategoryTheory.Iso", "CategoryTheory.Limits.CategoricalPullback", "CategoryTheory.Fun...
false
PseudoEpimorphism.comp_apply
Mathlib.Topology.Order.Hom.Esakia
[ "PseudoEpimorphism.comp", "PseudoEpimorphism.instFunLike", "Eq", "DFunLike.coe", "PseudoEpimorphism", "rfl", "Preorder" ]
true
AlgebraicGeometry.LocallyRingedSpace.Γevaluation_naturality
Mathlib.Geometry.RingedSpace.LocallyRingedSpace.ResidueField
[ "Lattice.toSemilatticeSup", "Opposite", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", "TopologicalSpace.Opens.instPartialOrder", "CategoryTheory.ConcreteCategory.hom", ...
true
CategoryTheory.ShortComplex.toCycles_comp_leftHomologyπ
Mathlib.Algebra.Homology.ShortComplex.LeftHomology
[ "Eq.mpr", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.leftHomologyπ", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.CategoryStruct.id", "CategoryTheory.ShortComplex.lef...
true
NFA.Path.supp._sunfold
Mathlib.Computability.NFA
[ "NFA.step", "Finset.instUnion", "Finset", "NFA.Path", "NFA", "Membership.mem", "NFA.Path.supp.match_1", "List", "Union.union", "Finset.instSingleton", "Singleton.singleton", "NFA.Path.supp", "Set.instMembership", "DecidableEq", "Set" ]
false
IntermediateField.add_mem
Mathlib.FieldTheory.IntermediateField.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "AddSubmonoidClass.toAddMemClass", "CommRing.toNonUnitalCommRing", "Ring.toNonAssocRing", "IntermediateField", "SubsemiringClass.toAddSubmonoidClass", "AddMonoid.toAddZeroClass", "Algebra", "Membership.mem"...
true
Order.IsPredPrelimit.subtypeVal
Mathlib.Order.SuccPred.Limit
[ "False", "Preorder.toLT", "congrArg", "CovBy", "IsUpperSet", "Preorder.toLE", "CovBy._to_dual_cast_4", "Membership.mem", "Exists", "Eq.mp", "Set.Elem", "Subtype.mk", "And.casesOn", "And", "Exists.casesOn", "And.right", "LT.lt", "propext", "Subtype.instLT", "CovBy.lt", "CovBy....
true
unitInterval.instLinearOrderedCommMonoidWithZeroElemReal._proof_1
Mathlib.Topology.UnitInterval
[ "Real.instIsOrderedRing", "Real.partialOrder", "Real", "HMul.hMul", "MulZeroClass.toMul", "MulZeroClass.zero_mul", "Real.semiring", "Set.Elem", "Set.Icc.instMonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "Zero.toOfNat0", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "unitI...
false
CategoryTheory.Limits.multicospanShapeEnd_fst
Mathlib.CategoryTheory.Limits.Shapes.End
[ "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "CategoryTheory.Limits.multicospanShapeEnd", "CategoryTheory.Limits.MulticospanShape.fst", "Eq.refl", "CategoryTheory.Arrow", "Eq", "CategoryTheory.Category" ]
true
Con.lift_funext
Mathlib.GroupTheory.Congruence.Hom
[ "Con.hom_ext", "MonoidHom.instFunLike", "MonoidHom", "DFunLike.ext", "MulOne.toMul", "MonoidHom.comp", "Con.mulOneClass", "Con.Quotient", "MulOneClass.toMulOne", "Con.toQuotient", "Con", "MulOneClass", "Eq", "DFunLike.coe", "Con.mk'" ]
true
StrictConvex.is_linear_preimage
Mathlib.Analysis.Convex.Strict
[ "StrictConvex", "Continuous", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "PartialOrder", "DistribSMul.toSMulZeroClass", "StrictConvex.linear_preimage", "AddCommMonoid", "TopologicalSpace", "AddZero.toZero", "Set.preimage", "IsLinearMap", "Semiri...
true
mem_skewAdjointMatricesSubmodule._simp_1
Mathlib.LinearAlgebra.Matrix.SesquilinearForm
[ "Submodule", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Matrix.module", "CommSemiring.toSemiring", "Matrix", "Membership.mem", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Matrix.addCommMonoid", "NonUnitalNonAssoc...
false
ContinuousMultilinearMap.compContinuousLinearMapL._proof_5
Mathlib.Topology.Algebra.Module.Multilinear.Topology
[ "AddCommGroup.toAddCommMonoid", "NormedField.toField", "AddCommGroup", "Field.toSemifield", "Field.toCommRing", "NormedField", "smulCommClass_self", "Semifield.toDivisionSemiring", "CommMonoid.toMonoid", "Monoid.toSemigroup", "DivisionSemiring.toSemiring", "Module.toDistribMulAction", "Semig...
false
ProofWidgets.RpcEncodablePacket.goals._@.ProofWidgets.Component.Panel.Basic.2840189264._hygCtx._hyg.1
ProofWidgets.Component.Panel.Basic
[ "Lean.Json", "ProofWidgets.RpcEncodablePacket._@.ProofWidgets.Component.Panel.Basic.2840189264._hygCtx._hyg.1" ]
false
CategoryTheory.LaxMonoidalFunctor.isoOfComponents
Mathlib.CategoryTheory.Monoidal.NaturalTransformation
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.LaxMonoidal.ε", "CategoryTheory.Iso", "CategoryTheory.LaxMonoidalFunctor.isoOfComponents._proof_1", "autoParam", "CategoryTheory.Functor.map", "CategoryTheory.LaxMonoidalFunctor.isoOfCo...
true
UInt8.ofFin
Init.Data.UInt.Basic
[ "UInt8.size", "BitVec.ofFin", "instOfNatNat", "Nat", "OfNat.ofNat", "UInt8.ofBitVec", "UInt8", "Fin" ]
true
Affine.Simplex.points_mem_affineSpan_faceOpposite
Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic
[ "Nontrivial", "Eq.mpr", "Affine.Simplex.points", "Nat.instMulZeroClass", "congrArg", "AddCommGroup.toAddCommMonoid", "Compl.compl", "Finset", "instDecidableEqFin", "Finset.mem_compl._simp_1", "HSub.hSub", "AddCommGroup.toAddGroup", "Membership.mem", "BooleanAlgebra.toCompl", "AddCommGrou...
true
cfc_add_const._auto_1
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
CategoryTheory.StrongEpi.of_arrow_iso
Mathlib.CategoryTheory.Limits.Shapes.StrongEpi
[ "Eq.mpr", "CategoryTheory.Comma.right", "CategoryTheory.Epi", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.epi_comp", "CategoryTheory.StrongEpi.mk", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "inferInstance", "id", ...
true
ContinuousAffineMap.vadd_toAffineMap
Mathlib.Topology.Algebra.ContinuousAffineMap
[ "AffineMap.instAddCommGroup", "AddMonoid.toAddSemigroup", "AddCommGroup.toAddCommMonoid", "IsTopologicalAddTorsor", "AddCommGroup.toAddGroup", "AddCommGroup", "ContinuousAffineMap", "addGroupIsAddTorsor", "AffineMap", "HVAdd.hVAdd", "TopologicalSpace", "AddAction.toAddSemigroupAction", "Affi...
true