name
string
module
string
deps
list
allowCompletion
bool
Subsemiring.mk'._proof_4
Mathlib.Algebra.Ring.Subsemiring.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "AddSubmonoid.zero_mem", "AddMonoid.toAddZeroClass", "Membership.mem", "Eq.rec", "AddZeroClass.toAddZero", "AddSubmonoid", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddZero.toZero", "NonAssocSemiring", "SetLike.coe", "Zero.toOfNat0", "AddMonoidWit...
false
deriv_fun_pow
Mathlib.Analysis.Calculus.Deriv.Pow
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "NormedCommRing.toCommRing", "Semiring.toModule", "NormedRing.toRing", "HMul.hMul", "NormedCommRing", "CommSemiring.toSemiring", "DifferentiableAt", "deriv", "NormedSpace.toModule", "AddGroupWithOne.toAddMonoidWithOne", "H...
true
Int.Cooper.mul_resolve_left_inv_le
Init.Data.Int.Cooper
[ "Eq.mpr", "Int.le_of_mul_le_mul_left", "Int.instDiv", "Int.Cooper.resolve_left_inv", "Dvd.dvd", "instHDiv", "HMul.hMul", "congrArg", "Int.mul_left_comm", "id", "HDiv.hDiv", "Int", "LE.le", "Int.instDvd", "Int.instMul", "Int.instLTInt", "instHAdd", "instOfNat", "HAdd.hAdd", "Int...
true
CategoryTheory.ProjectiveResolution.isoLeftDerivedToHomotopyCategoryObj
Mathlib.CategoryTheory.Abelian.LeftDerived
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "Nat.instIsOrderedAddMonoid", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "CategoryTheory.ProjectiveResolution.iso", "CategoryTheory.ProjectiveResolution.isoLeftDerivedToHomotopyCategoryObj._proof_1", ...
true
_private.Mathlib.Combinatorics.SimpleGraph.Paths.0.SimpleGraph.Walk.IsCycle.snd_ne_penultimate._proof_1_1
Mathlib.Combinatorics.SimpleGraph.Paths
[ "Lean.RArray.leaf", "False", "of_decide_eq_true", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "SimpleGraph.Walk.length", "Classical.byContradiction", "HSub.hSub", "Nat.not_le_eq", "SimpleGraph.Walk", "Nat.ToInt.natCast_ofNat", "id", "Lean.RArray", "Int.instNegInt", "Int.Linear.eq_l...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.mem_toList_iff_getKey?_eq_some_and_get?_eq_some._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
Real.sigmoid_pos
Mathlib.Analysis.SpecialFunctions.Sigmoid
[ "Real.instIsOrderedRing", "Real.partialOrder", "Real", "MulZeroClass.toMul", "Nat.ble", "Real.instZero", "Real.instAddMonoid", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "Real.instLT", "DivisionSemiring.toGroupWithZero", "Real.semiring", "i...
true
_private.Mathlib.Algebra.Category.MonCat.Basic.0.AddCommMonCat.Hom.mk.noConfusion
Mathlib.Algebra.Category.MonCat.Basic
[ "AddMonoid.toAddZeroClass", "AddCommMonCat", "AddZeroClass.toAddZero", "id", "_private.Mathlib.Algebra.Category.MonCat.Basic.0.AddCommMonCat.Hom.mk", "AddCommMonCat.Hom", "AddCommMonCat.str", "heq_of_eq", "Eq.refl", "HEq", "AddCommMonoid.toAddMonoid", "AddMonoidHom", "Eq", "AddCommMonCat.H...
false
monotoneOn_univ._simp_1
Mathlib.Order.Monotone.Defs
[ "Set.univ", "Monotone", "MonotoneOn", "propext", "Eq", "monotoneOn_univ", "Preorder" ]
false
_private.Init.Data.List.Nat.Sublist.0.List.append_sublist_of_sublist_right._proof_1_1
Init.Data.List.Nat.Sublist
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", ...
false
CategoryTheory.Functor.IsDenseSubsite.sheafEquiv
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.asEquivalence", "CategoryTheory.GrothendieckTopology", "CategoryTheory.Functor.IsDenseSubsite.instIsContinuous", "CategoryTheory.Category.opposite", "CategoryTheory.Presheaf...
true
Std.DHashMap.mem_toArray_iff_get?_eq_some
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Raw", "Array.instMembership", "Option.some", "LawfulBEq", "Membership.mem", "Std.DHashMap.toArray", "Std.DHashMap.wf", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "Subtype.mk", "Array", "Iff", "Std.DHashMap.inner", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", ...
true
Module.AEval.restrict_equiv_mapSubmodule._proof_3
Mathlib.Algebra.Polynomial.Module.AEval
[ "Submodule", "Submodule.module._proof_1", "instSMulOfMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "DistribSMul.toSMulZeroClass", "Submodule.isScalarTower'", "IsScalarTowe...
false
Mathlib.Meta.NormNum.IsNNRat.to_eq
Mathlib.Tactic.NormNum.Result
[ "NonAssocSemiring.toAddCommMonoidWithOne", "DivInvMonoid.toInv", "instHDiv", "GroupWithZero.toDivisionMonoid", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "Invertible.invOf", "DivisionSemiring.toGroupWithZero", "DivisionMono...
true
Lean.Meta.Grind.instInhabitedEMatchTheoremConstraint
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Meta.Grind.EMatchTheoremConstraint", "Inhabited", "Lean.Meta.Grind.instInhabitedEMatchTheoremConstraint.default", "Inhabited.mk" ]
true
_private.Mathlib.Tactic.Linter.FlexibleLinter.0.Mathlib.Linter.Flexible.TacticData.mk.sizeOf_spec
Mathlib.Tactic.Linter.FlexibleLinter
[ "Lean.MetavarContext", "_private.Mathlib.Tactic.Linter.FlexibleLinter.0.Mathlib.Linter.Flexible.TacticData._sizeOf_inst", "Lean.Syntax._sizeOf_inst", "Lean.Syntax", "Lean.MVarId", "instOfNatNat", "Lean.Elab.ContextInfo", "_private.Mathlib.Tactic.Linter.FlexibleLinter.0.Mathlib.Linter.Flexible.TacticDa...
true
smul_add_smul_le_smul_add_smul
Mathlib.Algebra.Order.Module.Defs
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "le_refl", "instHSMul", "add_left_comm", "congrArg", "DistribMulAction.toDistribSMul", "covariant_swap_add_of_covariant_add", "AddMonoid.toAddZeroClass", "IsCancelAdd.toIsLeftCancelAdd", "add_le_add", "PartialOrder.toPreorder", "IsStrictOr...
true
_private.Lean.Meta.Tactic.Grind.MatchCond.0.Lean.Meta.Grind.collectMatchCondLhss._sparseCasesOn_1
Lean.Meta.Tactic.Grind.MatchCond
[ "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "Nat.shiftRight", "Option.some", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Option" ]
false
Quaternion.coe_real_complex_mul
Mathlib.Analysis.Quaternion
[ "Quaternion.coe", "NegZeroClass.toNeg", "Real", "Quaternion.coeComplex", "instHSMul", "QuaternionAlgebra.imI", "instSMulOfMul", "HMul.hMul", "Quaternion.imI_mul", "sub_self", "Real.instZero", "Real.instAddMonoid", "AddGroupWithOne.toAddGroup", "congrArg", "CommSemiring.toSemiring", "su...
true
IsLocalization.instForallPiUniv
Mathlib.RingTheory.Localization.Pi
[ "Iff.mpr", "IsLocalization.surj", "HMul.hMul", "IsLocalization", "Algebra.algebraMap", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "Set.univ", "IsUnit", "Algebra", "RingHom", "Membership.mem", "MulOne.toMul", "Subtype", "IsLocalization'.mk", "Prod.mk", "Pi.isUnit_iff", "Prod...
true
Homotopy.nullHomotopicMap'_f_eq_zero
Mathlib.Algebra.Homology.Homotopy
[ "Homotopy.nullHomotopicMap_f_eq_zero", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Classical.propDecidable", "HomologicalComplex", "id", "ComplexShape", "CategoryTheory.Limits.HasZeroMorphisms.zero", "dite", "CategoryTheory.Preadditive", "CategoryTheory...
true
IsLocalization.AtPrime.coe_orderIsoOfPrime_symm_apply_coe
Mathlib.RingTheory.Localization.AtPrime.Basic
[ "IsLocalization.AtPrime.orderIsoOfPrime", "Submodule", "OrderIso.setCongr", "Semiring.toModule", "IsLocalization.AtPrime.orderIsoOfPrime._proof_2", "ChainCompletePartialOrder.instOfCompleteLattice", "Algebra.algebraMap", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Iff.of_eq", "congrArg", ...
true
List.subset_dedup
Mathlib.Data.List.Dedup
[ "Iff.mpr", "List.instHasSubset", "List.dedup", "Membership.mem", "HasSubset.Subset", "List.mem_dedup", "List", "List.instMembership", "DecidableEq" ]
true
_private.Std.Tactic.BVDecide.LRAT.Internal.LRATCheckerSound.0.Std.Tactic.BVDecide.LRAT.Internal.addEmptyCaseSound._proof_1_3
Std.Tactic.BVDecide.LRAT.Internal.LRATCheckerSound
[ "False", "eq_false", "Lean.Grind.iff_eq", "congrArg", "true_or", "Classical.byContradiction", "Std.Tactic.BVDecide.LRAT.Internal.Formula.insert_iff", "Std.Tactic.BVDecide.LRAT.Internal.Formula", "Membership.mem", "Std.Tactic.BVDecide.LRAT.Internal.Formula.toList", "Eq.mp", "id", "Lean.Grind....
false
Subring.topologicalClosure._proof_3
Mathlib.Topology.Algebra.Ring.Basic
[ "Subring.toSubsemiring", "HMul.hMul", "Ring.toNonAssocRing", "Monoid.toMulOneClass", "Submonoid.toSubsemigroup", "Membership.mem", "MulOne.toMul", "IsSemitopologicalRing", "Subsemiring.toSubmonoid", "NonAssocRing.toNonUnitalNonAssocRing", "TopologicalSpace", "MulOneClass.toMulOne", "Subring"...
false
USize.ofFin_mk
Init.Data.UInt.Lemmas
[ "USize.ofFin", "Fin.mk", "Nat", "USize.ofNatLT", "LT.lt", "USize.size", "instLTNat", "Eq", "rfl", "USize" ]
true
LawfulBitraversable.binaturality'
Mathlib.Control.Bitraversable.Basic
[ "Bitraversable", "ApplicativeTransformation", "LawfulBitraversable", "Function.comp", "LawfulBitraversable.binaturality", "Applicative", "funext", "ApplicativeTransformation.app", "Eq", "LawfulApplicative", "Bitraversable.bitraverse" ]
true
Localization.eq_1
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "Monoid.toMulOneClass", "OreLocalization", "Localization", "OreLocalization.oreSetComm", "CommMonoid.toMonoid", "Monoid.toMulAction", "Eq.refl", "Eq", "CommMonoid", "Submonoid" ]
true
Finsupp.fst_sumFinsuppAddEquivProdFinsupp
Mathlib.Data.Finsupp.Basic
[ "Finsupp.instFunLike", "Prod.instAdd", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Sum", "Sum.inl", "Prod.fst", "AddZero.toZero", "Finsupp.instAdd", "AddMonoid", "AddEquiv", "Prod", "AddEquiv.instEquivLike", "Eq", "DFunLike.coe", "Finsupp", "rfl", "EquivLike.toFunLike", ...
true
List.scanrM_map
Init.Data.List.Scan.Lemmas
[ "Eq.mpr", "congrArg", "Monad.toApplicative", "List.map", "_private.Init.Data.List.Scan.Lemmas.0.List.scanrM_map._simp_1_1", "flip", "id", "List.scanlM", "LawfulMonad", "List.scanrM_eq_scanlM_reverse", "List", "congr", "List.reverse", "Applicative.toFunctor", "Eq.refl", "List.scanrM", ...
true
_private.Lean.Meta.Tactic.Grind.Order.Proof.0.Lean.Meta.Grind.Order.mkPropagateSelfEqFalseProofCore
Lean.Meta.Tactic.Grind.Order.Proof
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.State", "ReaderT", "Lean.Meta.Sym.Context", "ReaderT.instMonad", "Lean.Meta.Grind.Context", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure", "_private.Lean.Meta.Tactic.Grind.Order.Proof.0.Lea...
true
Std.TreeMap.Raw.instCoeWFWFInner
Std.Data.TreeMap.Raw.Basic
[ "Std.TreeMap.Raw.WF.out", "Ordering", "Coe.mk", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Coe", "Std.DTreeMap.Raw.WF" ]
true
Representation.linearize._proof_2
Mathlib.RepresentationTheory.Action
[ "Finsupp.instFunLike", "Monoid", "NonAssocSemiring.toAddCommMonoidWithOne", "MonoidHom.instMonoidHomClass", "MonoidHom.instFunLike", "Semiring.toModule", "LinearMap.comp.congr_simp", "Finsupp.module", "HMul.hMul", "Finsupp.ext", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "CategoryThe...
false
_private.Init.Data.String.Lemmas.Pattern.Memcmp.0.String.Slice.Pattern.Internal.memcmpStr_eq_true_iff._proof_1_8
Init.Data.String.Lemmas.Pattern.Memcmp
[ "Lean.Omega.LinearCombo.coordinate_eval_6", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "String", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNa...
false
NNReal.iSup_div
Mathlib.Data.NNReal.Basic
[ "DivInvMonoid.toInv", "instHDiv", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "Monoid.toMulOneClass", "congrArg", "iSup", "DivisionSemiring.toGroupWithZero", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "NNReal", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", ...
true
SeminormedAddCommGroup.toIsTopologicalAddGroup
Mathlib.Analysis.Normed.Group.Uniform
[ "SeminormedAddCommGroup", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "inferInstance", "IsUniformAddGroup.to_topologicalAddGroup", "SeminormedAddCommGroup.toPseudoMetricSpace", "SeminormedAddCommGroup.toAddCommGroup", "UniformSpace.toTopologicalSpace", "IsTopologicalAddGroup", "...
true
_private.Lean.Elab.Tactic.Do.Spec.0.Lean.Elab.Tactic.Do.dischargeMGoal
Lean.Elab.Tactic.Do.Spec
[ "_private.Lean.Elab.Tactic.Do.Spec.0.Lean.Elab.Tactic.Do.dischargeMGoal.match_1", "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.Elab.Tactic.Do.ProofMode.MGoal.assumption", "Lean.MessageData", "instOrElseOfAlternative", "Unit.unit", "OptionT", "Lean.Elab.Tactic.Do.ProofMode.MGoal.toExpr", "Re...
true
List.dropWhile_eq_self_iff
Mathlib.Data.List.TakeWhile
[ "Eq.mpr", "False", "Nat.zero_lt_succ._simp_1", "iff_false", "_private.Mathlib.Data.List.TakeWhile.0.List.dropWhile_eq_self_iff._simp_1_1", "congrArg", "List.filter.match_1", "Bool.false_eq_true", "lt_self_iff_false._simp_1", "not_true_eq_false", "id", "instDecidableEqBool", "instOfNatNat", ...
true
FirstOrder.Language.BoundedFormula.realize_relabel._simp_1
Mathlib.ModelTheory.Semantics
[ "Fin.natAdd", "Fin.castAdd", "FirstOrder.Language.BoundedFormula.relabel", "Function.comp", "Sum", "FirstOrder.Language.BoundedFormula.Realize", "FirstOrder.Language.BoundedFormula.realize_relabel", "instHAdd", "FirstOrder.Language.Structure", "HAdd.hAdd", "Nat", "propext", "instAddNat", "...
false
map_mem_separableClosure_iff
Mathlib.FieldTheory.SeparableClosure
[ "Eq.mpr", "congrArg", "CommSemiring.toSemiring", "IntermediateField", "AlgHom", "AlgHom.funLike", "_private.Mathlib.FieldTheory.SeparableClosure.0.map_mem_separableClosure_iff._simp_1_1", "Algebra", "Membership.mem", "Field.toDivisionRing", "Field.instIsLocalRing", "id", "minpoly.algHom_eq",...
true
UInt32.toBitVec_toUInt8
Init.Data.UInt.Lemmas
[ "UInt32.toUInt8", "UInt32.toBitVec", "BitVec.setWidth", "BitVec", "instOfNatNat", "UInt8.toBitVec", "Nat", "UInt32", "OfNat.ofNat", "Eq", "rfl" ]
true
Aesop.PostponedSafeRule.mk._flat_ctor
Aesop.Tree.UnsafeQueue
[ "Aesop.PostponedSafeRule.mk", "Aesop.SafeRule", "Aesop.PostponedSafeRule", "Aesop.RuleTacOutput" ]
false
_private.Lean.Elab.Tactic.Do.ProofMode.Basic.0.Lean.Elab.Tactic.Do.ProofMode.elabMStop._regBuiltin.Lean.Elab.Tactic.Do.ProofMode.elabMStop_1
Lean.Elab.Tactic.Do.ProofMode.Basic
[ "Lean.Elab.Tactic.tacticElabAttribute", "IO", "Unit", "Lean.Elab.Tactic.Tactic", "Lean.Name.mkStr6", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin", "Lean.Elab.Tactic.Do.ProofMode.elabMStop" ]
false
AddGroupSeminorm.toSeminormedAddGroup._proof_1
Mathlib.Analysis.Normed.Group.Defs
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Real.partialOrder", "Real", "Real.instZero", "congrArg", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "AddGroupSeminorm.funLike", "SubNegZeroMonoid.toNegZeroClass", "AddZero.toZero", "inst...
false
CategoryTheory.instHasLimitsInd
Mathlib.CategoryTheory.Limits.Indization.Category
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.Limits.functorCategoryHasLimitsOfSize", "CategoryTheory.Functor.category", "CategoryTheory.Ind", "CategoryTheory.Ind.inclusion", "CategoryTheory.Limits.HasLimits", "CategoryTheory.hasLimits_of_hasLimits_createsLimits", "UnivLE.self", "CategoryT...
true
List.map_zip_eq_zipWith
Init.Data.List.Zip
[ "Eq.mpr", "List.zipWith", "congrArg", "List.map", "id", "Prod.mk", "List.zip", "List.rec", "List.cons", "Function.curry", "List", "congr", "True", "List.casesOn", "eq_self", "of_eq_true", "Eq.ndrec", "Eq.refl", "congrFun'", "List.zipWith_nil_right", "Prod", "Eq.symm", "Eq...
true
Matrix.kroneckerTMulAlgEquiv_symm_apply
Mathlib.RingTheory.MatrixAlgebra
[ "LinearEquiv.symm", "Matrix.module", "AlgEquiv.symm", "instDecidableEqProd", "CommSemiring.toSemiring", "Matrix", "IsScalarTower", "TensorProduct.addCommMonoid", "Algebra", "Algebra.toSMul", "Matrix.instAlgebra", "Algebra.toModule", "Matrix.kroneckerTMulAlgEquiv", "Matrix.addCommMonoid", ...
true
tendsto_fib_succ_div_fib_atTop
Mathlib.Analysis.SpecificLimits.Fibonacci
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Mathlib.Tactic.RingNF.nnrat_rawCast", "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Mathlib.Tactic.FieldSimp.zpow'_one", "Mathlib.Tactic.Ring.Common.neg_zero", "Mathlib.Tactic.FieldSimp.NF.di...
true
CommGroup.subgroupOrderIsoSubgroupMonoidHom.eq_1
Mathlib.GroupTheory.FiniteAbelian.Duality
[ "CommGroup.subgroupOrderIsoSubgroupMonoidHom", "OrderDual.instLE", "OrderDual.toDual", "MonoidHom.instCommGroup", "Equiv.instEquivLike", "SubmonoidClass.toMulOneClass", "RelIso.mk", "OrderDual.ofDual", "MonoidHom", "Monoid.toMulOneClass", "Finite", "PartialOrder.toPreorder", "Preorder.toLE",...
true
Nat.lcm_eq_mul_iff
Init.Data.Nat.Lcm
[ "Nat.gcd", "Nat.lcm", "Eq.mpr", "instHDiv", "Nat.lcm_eq_mul_div", "HMul.hMul", "congrArg", "Iff.rfl", "id", "HDiv.hDiv", "instMulNat", "instOfNatNat", "Iff", "Nat", "Nat.instDiv", "propext", "Or", "Nat.div_eq_self", "OfNat.ofNat", "Eq", "Nat.mul_eq_zero", "or_assoc", "ins...
true
Nat.choose_lt_pow
Mathlib.Data.Nat.Choose.Bounds
[ "Nat.choose", "Nat.instMonoid", "Nat.descFactorial_lt_pow", "Ne", "instOfNatNat", "LE.le", "instLENat", "Monoid.toPow", "HPow.hPow", "Nat.instPreorder", "Nat", "LT.lt", "instHPow", "instLTNat", "OfNat.ofNat", "LE.le.trans_lt", "Nat.choose_le_descFactorial", "Nat.descFactorial" ]
true
String.Slice.SplitIterator.instIteratorIdSubslice.eq_1
Init.Data.String.Slice
[ "Pure.pure", "Std.Shrink.deflate", "String.Slice.Subslice", "False", "Std.IterStep", "String.Slice.SplitIterator.instIteratorIdSubslice.match_1", "Std.Iterator.mk", "Std.Shrink", "Monad.toApplicative", "String.Slice.Pattern.SearchStep", "Std.PlausibleIterStep", "String.Slice.SplitIterator.inst...
true
CategoryTheory.Limits.WidePushoutShape.struct._proof_5
Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
[ "Eq.refl", "Eq", "CategoryTheory.Limits.WidePushoutShape" ]
false
CategoryTheory.Functor.copyObj.eq_1
Mathlib.CategoryTheory.NatIso
[ "CategoryTheory.Functor", "CategoryTheory.Functor.copyObj._proof_2", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.mk", "CategoryTheory.Iso", "CategoryTheory.Functor.map", "CategoryTheory.Functor.copyObj", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "Catego...
true
Basis.le_span''
Mathlib.LinearAlgebra.Dimension.StrongRankCondition
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "Semiring.toModule", "Finsupp.module", "congrArg", "LinearMap.instFunLike", "LinearEquiv.surjective", "Membership.mem", "LinearMap.range", "Set.Elem", "RankCondition", "Fintype.card", "id", "Submodule.instTop", "Subtype.range_coe_subtype"...
true
Module.Baer.extensionOfMaxAdjoin._proof_2
Mathlib.Algebra.Module.Injective
[ "Std.Commutative", "Submodule.coe_add", "Eq.mpr", "Submodule", "Module.Baer.ExtensionOfMaxAdjoin.extensionToFun_wd", "instHSMul", "Semiring.toModule", "AddMonoid.toAddSemigroup", "Lean.Data.AC.Expr.var", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Submodule...
false
BitVec.forall_zero_iff
Init.Data.BitVec.Decidable
[ "HEq.refl", "False.elim", "noConfusion_of_Nat", "BitVec", "instOfNatNat", "BitVec.ofNat", "Nat.le.step", "GetElem.getElem", "Iff", "Nat.le", "Nat", "LT.lt", "Iff.intro", "Bool", "Eq.ndrec", "Nat.ctorIdx", "BitVec.instGetElemNatBoolLt", "Eq.refl", "HEq", "Nat.le.refl", "instLT...
true
_private.Mathlib.Topology.DiscreteSubset.0.isClosed_and_discrete_iff._simp_1_1
Mathlib.Topology.DiscreteSubset
[ "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "OrderBot", "disjoint_iff", "SemilatticeInf.toPartialOrder", "Bot.bot", "SemilatticeInf.toMin", "SemilatticeInf", "propext", "Eq", "Min.min" ]
false
Subspace.orderIsoFiniteCodimDim._proof_2
Mathlib.LinearAlgebra.Dual.Lemmas
[ "Iff.mpr", "Submodule", "Algebra.to_smulCommClass", "Semiring.toModule", "Equiv.instEquivLike", "OrderDual.ofDual", "Submodule.dualCoannihilator", "Submodule.Quotient.addCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Subspace.finiteDimensional_quot_dualCoannihilator_iff"...
false
Lean.Compiler.LCNF.instBEqParam.beq
Lean.Compiler.LCNF.Basic
[ "Lean.instBEqFVarId", "Lean.Expr.instBEq", "Lean.Expr", "Bool.and", "Lean.FVarId", "instDecidableEqBool", "Lean.Compiler.LCNF.Purity", "instBEqOfDecidableEq", "BEq.beq", "_private.Lean.Compiler.LCNF.Basic.0.Lean.Compiler.LCNF.instBEqParam.beq.match_1", "Bool", "Lean.Name", "Lean.Compiler.LCN...
true
List.Vector.get_replicate
Mathlib.Data.Vector.Basic
[ "List.Vector.get", "Fin.val", "List.getElem_replicate", "List", "List.Vector.get._proof_1", "Nat", "List.Vector.replicate", "Fin", "Subtype.val", "Eq", "List.length", "Fin.cast._proof_1" ]
true
_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux1.eq_1
Mathlib.Data.Seq.Parallel
[ "Stream'.Seq", "Computation.rmap", "Sum", "Prod.mk", "_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux2", "_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux1", "Computation", "Stream'.Seq.nil", "List.cons", "_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux1.ma...
true
Int.sign_eq_neg_one_iff_neg
Init.Data.Int.Order
[ "Int.sign_eq_neg_one_of_neg", "Int.sign", "Int.instNegInt", "Int.neg_of_sign_eq_neg_one", "Int", "Int.instLTInt", "Iff", "instOfNat", "LT.lt", "Iff.intro", "OfNat.ofNat", "Eq", "Neg.neg" ]
true
ULift.seminormedRing
Mathlib.Analysis.Normed.Ring.Basic
[ "Semiring.toNatCast", "Ring.mk", "ULift.seminormedRing._proof_13", "Monoid.npow", "NonUnitalSeminormedRing", "ULift.seminormedRing._proof_20", "ULift.seminormedRing._proof_9", "ULift.seminormedRing._proof_6", "ULift.seminormedRing._proof_1", "NonUnitalNonAssocRing.toMul", "ULift.seminormedRing._...
true
TensorProduct.AlgebraTensorModule.congr_symm_tmul
Mathlib.LinearAlgebra.TensorProduct.Tower
[ "LinearEquiv.symm", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "TensorProduct.addCommMonoid", "AddMonoid.toAddZeroClass", "Algebra", "Algebra.toSMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "TensorProduct.AlgebraTensorModule...
true
_private.Mathlib.RingTheory.QuasiFinite.Basic.0.Algebra.QuasiFinite.of_isIntegral_of_finiteType._simp_1_2
Mathlib.RingTheory.QuasiFinite.Basic
[ "Algebra.algebraMap", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "RingHom", "Algebra.toSMul", "CommSemiring", "RingHom.instFunLike", "Semiring", "Eq.symm", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "IsScalarTower.algebraMap_apply" ]
false
CategoryTheory.Triangulated.SpectralObject.recOn
Mathlib.CategoryTheory.Triangulated.SpectralObject
[ "CategoryTheory.Triangulated.SpectralObject.rec", "CategoryTheory.Functor", "CategoryTheory.Triangulated.SpectralObject", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Triangula...
false
ISize.toInt_inj
Init.Data.SInt.Lemmas
[ "Eq.rec", "ISize.toInt.inj", "Int", "Iff", "Iff.intro", "ISize", "Eq", "rfl", "ISize.toInt" ]
true
CategoryTheory.ChosenPullbacksAlong.isoInv_pullback_obj_left
Mathlib.CategoryTheory.LocallyCartesianClosed.ChosenPullbacksAlong
[ "CategoryTheory.Over", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "CategoryTheory.Iso", "CategoryTheory.instCategoryOver", "CategoryTheory.Over.left", "CategoryTheory.discreteCategory", "PUnit", "Eq.refl", "CategoryTheory.Functor.fromPUnit", "CategoryTheory.ChosenPullbacksAlong.pu...
true
List.min?_eq_none_iff._simp_1
Init.Data.List.MinMax
[ "List.min?", "Min", "Option.none", "List", "propext", "Eq", "List.min?_eq_none_iff", "List.nil", "Option" ]
false
Lean.Elab.Term.wrapAsyncAsSnapshot
Lean.Elab.Term.TermElabM
[ "getThe", "Lean.Core.instMonadLiftIOCoreM", "instMonadReaderOfReaderTOfMonad", "Lean.Elab.Term.instMonadTermElabM", "IO.instMonadLiftSTRealWorldBaseIO", "ReaderT", "String", "Lean.Meta.State", "Lean.Language.SnapshotTree", "instMonadLiftT", "MonadState.get", "IO", "MonadReader.read", "Stat...
true
_private.Mathlib.Order.Cover.0.WithTop.coe_wcovBy_top._simp_1_2
Mathlib.Order.Cover
[ "Set.Ioi", "WithTop.instPreorder", "WithTop.some", "WithTop.image_coe_Ioi", "WithTop.top", "Set.image", "Top.top", "Eq.symm", "Eq", "Set.Ioo", "Preorder", "WithTop", "Set" ]
false
Std.DTreeMap.Internal.Impl.balanceLErase._proof_14
Std.Data.DTreeMap.Internal.Balancing
[ "False", "HMul.hMul", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "instMulNat", "Std.DTreeMap.Internal.delta", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "LT.lt", "instLTNat", "_private.Std.Data.DTreeMap.Internal.Balancing.0.Std....
false
Mathlib.Tactic.Sat.Clause.expr
Mathlib.Tactic.Sat.FromLRAT
[ "Lean.Expr", "Mathlib.Tactic.Sat.Clause" ]
true
_private.Mathlib.LinearAlgebra.Prod.0.Submodule.map_inl._simp_1_7
Mathlib.LinearAlgebra.Prod
[ "Submodule", "Submodule.mem_prod", "Membership.mem", "Submodule.prod", "Prod.fst", "AddCommMonoid", "And", "Submodule.setLike", "propext", "Semiring", "Module", "Prod", "Prod.instModule", "Eq", "Prod.snd", "SetLike.instMembership", "Prod.instAddCommMonoid" ]
false
AddMonoidHom.ext_nat
Mathlib.Algebra.Group.Nat.Hom
[ "AddMonoidHom.instAddMonoidHomClass", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "AddZeroClass.toAddZero", "instOfNatNat", "AddZeroClass", "Nat", "AddMonoidHom", "AddMonoidHom.instFunLike", "OfNat.ofNat", "Eq", "DFunLike.coe", "ext_nat'" ]
true
_private.Mathlib.Algebra.ContinuedFractions.Computation.Translations.0.Option.getD.match_1.eq_2
Mathlib.Algebra.ContinuedFractions.Computation.Translations
[ "Unit.unit", "Option.getD.match_1", "Option.some", "Option.none", "Unit", "Eq.refl", "Eq", "Option" ]
true
Real.Angle.abs_toReal_coe_eq_self_iff
Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Real.partialOrder", "Real.instLE", "Real", "Real.pi", "Real.lattice", "Real.Angle.coe", "Real.Angle.abs_toReal_le_pi", "Real.instZero", "abs", "Left.neg_neg_iff", "instIsLeftCancelAddOfAddLeftReflectLE", "covariant_swap_ad...
true
_private.Mathlib.AlgebraicTopology.ModelCategory.FibrantObjectHomotopy.0.HomotopicalAlgebra.FibrantObject.instHasQuotientWeakEquivalencesHomRel._simp_1
Mathlib.AlgebraicTopology.ModelCategory.FibrantObjectHomotopy
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomotopicalAlgebra.weakEquivalence_iff", "HomotopicalAlgebra.CategoryWithWeakEquivalences", "propext", "HomotopicalAlgebra.WeakEquivalence", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "Eq", "HomotopicalAlgebra.weakEquivalences", ...
false
_private.Mathlib.Data.Option.Basic.0.Option.iget_of_mem.match_1_1
Mathlib.Data.Option.Basic
[ "Unit.unit", "Option.instMembership", "HEq.refl", "Option.some", "Membership.mem", "Eq.casesOn", "Unit", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq", "Option" ]
false
Complex.measurableEquivRealProd
Mathlib.MeasureTheory.Measure.Lebesgue.Complex
[ "NormedCommRing.toSeminormedCommRing", "Real", "Semiring.toModule", "Complex.borelSpace", "Complex.measurableEquivRealProd._proof_1", "NormedSpace.toModule", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "Real.semiring", "Complex.equivRealProdCLM", ...
true
_private.Mathlib.Data.ENat.Pow.0.ENat.epow_top._proof_1_3
Mathlib.Data.ENat.Pow
[ "instLawfulOrderLT_mathlib", "False", "Lean.Grind.not_not", "instTopENat", "Classical.byContradiction", "Lean.Grind.Order.lt_eq_false", "Eq.mp", "instPreorderENat", "id", "instLEENat", "ENat", "LT.lt", "True", "eq_true", "Lean.Grind.intro_with_eq", "instLTENat", "Top.top", "Eq.symm...
false
Std.TreeSet.getD_max?
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.getD", "Std.TreeSet.max?", "Option.some", "Ordering", "Std.TreeSet.inner", "Std.TransCmp", "Unit", "Eq", "Std.TreeMap.getKeyD_maxKey?", "Option" ]
true
Lean.Parser.Tactic._aux_Init_Tactics___macroRules_Lean_Parser_Tactic_tacticLetI___1
Init.Tactics
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.node5", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT....
false
CategoryTheory.Under.instHasColimitsOfSizeOfHasWidePushouts
Mathlib.CategoryTheory.Limits.Constructions.Over.Basic
[ "Eq.mpr", "CategoryTheory.Equivalence.isEquivalence_inverse", "CategoryTheory.instCategoryUnder", "CategoryTheory.Over", "CategoryTheory.Over.opEquivOpUnder", "Opposite", "CategoryTheory.Functor.createsLimitsOfIsEquivalence", "congrArg", "CategoryTheory.Limits.hasLimitsOfSize_opposite_iff", "Categ...
true
Polynomial.divModByMonicAux.congr_simp
Mathlib.Algebra.Polynomial.Div
[ "Eq.rec", "Polynomial.divModByMonicAux", "Polynomial", "Polynomial.Monic", "Eq.ndrec", "Eq.refl", "Prod", "Ring.toSemiring", "Eq", "Ring" ]
true
List.infix_append'
Init.Data.List.Sublist
[ "Eq.mpr", "List.append_assoc", "congrArg", "List.infix_append", "id", "List.IsInfix", "instHAppendOfAppend", "List", "List.instAppend", "Eq.symm", "Eq", "HAppend.hAppend" ]
true
_private.Mathlib.Probability.Kernel.IonescuTulcea.Maps.0.IocProdIoc_preimage._proof_1_15
Mathlib.Probability.Kernel.IonescuTulcea.Maps
[ "instLawfulOrderLT_mathlib", "of_eq_false", "Preorder.toLT", "Lean.Grind.nestedProof", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "_private.Mathlib.Probability.Kernel.IonescuTulc...
false
summable_of_hasFiniteSupport
Mathlib.Topology.Algebra.InfiniteSum.Basic
[ "Classical.not_not", "congrArg", "Finset", "Set.Finite.mem_toFinset", "AddMonoid.toAddZeroClass", "Function.HasFiniteSupport", "SummationFilter", "Membership.mem", "AddZeroClass.toAddZero", "Ne", "SummationFilter.HasSupport", "AddCommMonoid", "TopologicalSpace", "AddZero.toZero", "Finset...
true
SetLike.GradeZero.instRing._aux_6
Mathlib.Algebra.DirectSum.Internal
[ "SetLike", "Int.cast", "intCast_mem", "Subring.instSetLike", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "SetLike.GradeZero.subring", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "Int", "AddGroupWithOne.toIntCast", "Subtype.mk", "AddZero.toZ...
false
LinearMap.re_inner_adjoint_mul_self_nonneg
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "Algebra.cast", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "algebraMap.coe_pow._simp_1", "Real.partialOrder", "Real.instLE", "Real", "IsOrderedRing.toPosMulMono", "RCLike.ofReal_re", "RCLike.toNormedAlgebra", "...
true
Algebra.norm_eq_of_ringEquiv
Mathlib.RingTheory.Norm.Basic
[ "Module.Basis.coe_mapCoeffs", "RingEquiv.apply_symm_apply", "Finsupp.instFunLike", "LinearEquiv.restrictScalars_apply", "Eq.mpr", "False", "LinearEquiv.symm", "Algebra.norm_eq_matrix_det", "CommRing", "Algebra.to_smulCommClass", "LinearMap.mul_apply_apply", "instHSMul", "MonoidHom.instFunLik...
true
Std.Time.Modifier.ctorElimType
Std.Time.Format.Basic
[ "cond", "Std.Time.Fraction", "Std.Time.Modifier.V", "Std.Time.ZoneName", "Std.Time.Modifier.F", "Nat.ble", "Std.Time.Modifier.m", "Std.Time.Modifier.O", "Std.Time.Modifier.Qorq", "Std.Time.Modifier.E", "Std.Time.Modifier.d", "Std.Time.Year", "Std.Time.Modifier.N", "Std.Time.Modifier.w", ...
false
Lean.IR.Decl.ctorElim
Lean.Compiler.IR.Basic
[ "Lean.IR.Decl.extern", "Lean.IR.Decl.ctorElimType", "Lean.IR.Param", "Lean.IR.Decl.fdecl", "Lean.IR.Decl.ctorIdx", "Lean.IR.DeclInfo", "Lean.IR.Decl.casesOn", "Lean.IR.FnBody", "Array", "Nat", "Lean.ExternAttrData", "Lean.IR.FunId", "Lean.IR.IRType", "Lean.IR.Decl", "Eq.ndrec", "PULift...
false
instIsPredArchimedeanOrderDualOfIsSuccArchimedean
Mathlib.Order.SuccPred.Archimedean
[ "Eq.mpr", "Equiv.instEquivLike", "Order.succ", "OrderDual.ofDual", "HEq.refl", "Preorder.toLE", "Exists", "Eq.casesOn", "Equiv", "LE.le", "Nat.iterate", "instPredOrderOrderDualOfSuccOrder", "funext", "heq_of_eq", "IsPredArchimedean", "LE.le.ofDual", "HEq.casesOn", "Nat", "Order.p...
true
MulEquiv.val_piUnits_apply
Mathlib.Algebra.Group.Pi.Units
[ "Monoid", "Units.val", "MulEquiv.instEquivLike", "Units", "MulEquiv.piUnits", "Pi.instMul", "MulEquiv", "Eq.refl", "Units.instMul", "Eq", "DFunLike.coe", "Pi.monoid", "EquivLike.toFunLike" ]
true
_private.Lean.Elab.PatternVar.0.Lean.Elab.Term.CollectPatternVars.collect.processId.match_1
Lean.Elab.PatternVar
[ "Unit.unit", "Lean.ConstructorVal", "Option.casesOn", "Option.some", "Nat.hasNotBit", "Option.none", "Unit", "Lean.ConstantInfo.ctorIdx", "Lean.ConstantInfo.ctorInfo", "Lean.ConstantInfo", "_private.Lean.Elab.PatternVar.0.Lean.Elab.Term.CollectPatternVars.collect.processId._sparseCasesOn_1", "...
false
Equiv.isCancelAdd
Mathlib.Algebra.Group.TransferInstance
[ "Equiv.apply_symm_apply", "Equiv.instEquivLike", "Function.Injective.isCancelAdd", "Equiv", "instHAdd", "HAdd.hAdd", "Equiv.add", "IsCancelAdd", "Equiv.injective", "DFunLike.coe", "Add", "EquivLike.toFunLike" ]
true
_private.Mathlib.Topology.UniformSpace.Closeds.0.UniformSpace.hausdorff.uniformContinuous_union.match_1_1
Mathlib.Topology.UniformSpace.Closeds
[ "entourageProd", "SetRel", "Membership.mem", "Prod.mk", "Prod.fst", "And.casesOn", "And.intro", "Prod", "Set.instMembership", "Prod.snd", "hausdorffEntourage", "Set" ]
false
_private.Mathlib.Tactic.Linter.FindDeprecations.0.Mathlib.Tactic.rewriteOneFile.match_7
Mathlib.Tactic.Linter.FindDeprecations
[ "Nat.hasNotBit", "String.Pos.Raw", "List.cons", "List", "_private.Mathlib.Tactic.Linter.FindDeprecations.0.Mathlib.Tactic.parseLine._sparseCasesOn_1", "List.ctorIdx", "_private.Mathlib.Tactic.Linter.FindDeprecations.0.Mathlib.Tactic.parseLine._sparseCasesOn_2", "List.nil" ]
false