definition_height int64 0 59 ⌀ | is_auto_or_private bool 2
classes | is_internal_name bool 2
classes | kind stringclasses 7
values | module stringlengths 12 90 | name stringlengths 2 347 | namespace stringlengths 0 235 | reducibility stringclasses 3
values | statement_dag_size int64 1 13.9k | type_refs listlengths 0 229 | value_dag_size int64 1 95.1k ⌀ | value_refs listlengths 0 699 |
|---|---|---|---|---|---|---|---|---|---|---|---|
7 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.A | ADEInequality | regular | 4 | [
"Multiset",
"PNat"
] | 15 | [
"ADEInequality.A'",
"ADEInequality.A'._proof_1",
"OfNat.ofNat",
"PNat",
"instOfNatPNatOfNeZeroNat"
] |
6 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.A' | ADEInequality | regular | 5 | [
"Multiset",
"PNat"
] | 33 | [
"ADEInequality.A'._proof_1",
"Insert.insert",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Singleton.singleton",
"instOfNatPNatOfNeZeroNat"
] |
null | true | true | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.A'._proof_1 | ADEInequality.A' | null | 30 | [
"HAdd.hAdd",
"Nat",
"NeZero",
"OfNat.ofNat",
"Zero.ofOfNat0",
"instAddNat",
"instHAdd",
"instOfNatNat"
] | 10 | [
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"instOfNatNat"
] |
null | true | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.A'.eq_1 | ADEInequality.A' | null | 40 | [
"ADEInequality.A'",
"ADEInequality.A'._proof_1",
"Eq",
"Insert.insert",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Singleton.singleton",
"instOfNatPNatOfNeZeroNat"
] | 13 | [
"ADEInequality.A'",
"Eq.refl",
"Multiset",
"PNat"
] |
7 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.Admissible | ADEInequality | regular | 5 | [
"Multiset",
"PNat"
] | 66 | [
"ADEInequality.A'",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"Eq",
"Exists",
"Multiset",
"OfNat.ofNat",
"Or",
"PNat",
"instOfNatPNatOfNeZeroNat"
] |
null | true | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.Admissible.eq_1 | ADEInequality.Admissible | null | 72 | [
"ADEInequality.A'",
"ADEInequality.Admissible",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"Eq",
"Exists",
"Multiset",
"OfNat.ofNat",
"Or",
"PNat",
"instOfNatPNatOfNeZeroNat"
] | 11 | [
"ADEInequality.Admissible",
"Eq.refl",
"Multiset",
"PNat"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.Admissible.one_lt_sumInv | ADEInequality.Admissible | null | 25 | [
"ADEInequality.Admissible",
"ADEInequality.sumInv",
"LT.lt",
"Multiset",
"OfNat.ofNat",
"PNat",
"Rat",
"Rat.instLT",
"Rat.instOfNat"
] | 1,767 | [
"ADEInequality.A'",
"ADEInequality.A'._proof_1",
"ADEInequality.A'.eq_1",
"ADEInequality.Admissible",
"ADEInequality.Admissible.eq_1",
"ADEInequality.D'",
"ADEInequality.D'._proof_1",
"ADEInequality.D'.eq_1",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E'.eq_1",
"ADEInequal... |
6 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.D' | ADEInequality | regular | 4 | [
"Multiset",
"PNat"
] | 30 | [
"ADEInequality.D'._proof_1",
"Insert.insert",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Singleton.singleton",
"instOfNatPNatOfNeZeroNat"
] |
null | true | true | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.D'._proof_1 | ADEInequality.D' | null | 28 | [
"HAdd.hAdd",
"Nat",
"NeZero",
"OfNat.ofNat",
"Zero.ofOfNat0",
"instAddNat",
"instHAdd",
"instOfNatNat"
] | 10 | [
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"instOfNatNat"
] |
null | true | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.D'.eq_1 | ADEInequality.D' | null | 36 | [
"ADEInequality.D'",
"ADEInequality.D'._proof_1",
"Eq",
"Insert.insert",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Singleton.singleton",
"instOfNatPNatOfNeZeroNat"
] | 10 | [
"ADEInequality.D'",
"Eq.refl",
"Multiset",
"PNat"
] |
6 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.E' | ADEInequality | regular | 4 | [
"Multiset",
"PNat"
] | 37 | [
"ADEInequality.D'._proof_1",
"ADEInequality.E'._proof_1",
"Insert.insert",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Singleton.singleton",
"instOfNatPNatOfNeZeroNat"
] |
null | true | true | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.E'._proof_1 | ADEInequality.E' | null | 32 | [
"HAdd.hAdd",
"Nat",
"NeZero",
"OfNat.ofNat",
"Zero.ofOfNat0",
"instAddNat",
"instHAdd",
"instOfNatNat"
] | 10 | [
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"instOfNatNat"
] |
null | true | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.E'.eq_1 | ADEInequality.E' | null | 43 | [
"ADEInequality.D'._proof_1",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"Eq",
"Insert.insert",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Singleton.singleton",
"instOfNatPNatOfNeZeroNat"
] | 10 | [
"ADEInequality.E'",
"Eq.refl",
"Multiset",
"PNat"
] |
7 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.E6 | ADEInequality | regular | 3 | [
"Multiset",
"PNat"
] | 12 | [
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"OfNat.ofNat",
"PNat",
"instOfNatPNatOfNeZeroNat"
] |
7 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.E7 | ADEInequality | regular | 3 | [
"Multiset",
"PNat"
] | 12 | [
"ADEInequality.E'",
"ADEInequality.E7._proof_1",
"OfNat.ofNat",
"PNat",
"instOfNatPNatOfNeZeroNat"
] |
null | true | true | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.E7._proof_1 | ADEInequality.E7 | null | 32 | [
"HAdd.hAdd",
"Nat",
"NeZero",
"OfNat.ofNat",
"Zero.ofOfNat0",
"instAddNat",
"instHAdd",
"instOfNatNat"
] | 10 | [
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"instOfNatNat"
] |
7 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.E8 | ADEInequality | regular | 3 | [
"Multiset",
"PNat"
] | 12 | [
"ADEInequality.E'",
"ADEInequality.E8._proof_1",
"OfNat.ofNat",
"PNat",
"instOfNatPNatOfNeZeroNat"
] |
null | true | true | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.E8._proof_1 | ADEInequality.E8 | null | 32 | [
"HAdd.hAdd",
"Nat",
"NeZero",
"OfNat.ofNat",
"Zero.ofOfNat0",
"instAddNat",
"instHAdd",
"instOfNatNat"
] | 10 | [
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"instOfNatNat"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_A' | ADEInequality | null | 10 | [
"ADEInequality.A'",
"ADEInequality.Admissible",
"PNat"
] | 89 | [
"ADEInequality.A'",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"Eq",
"Exists",
"Exists.intro",
"Multiset",
"OfNat.ofNat",
"Or",
"Or.inl",
"PNat",
"instOfNatPNatOfNeZeroNat",
"rfl"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_D' | ADEInequality | null | 7 | [
"ADEInequality.Admissible",
"ADEInequality.D'",
"PNat"
] | 82 | [
"ADEInequality.A'",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"Eq",
"Exists",
"Exists.intro",
"Multiset",
"OfNat.ofNat",
"Or",
"Or.inl",
"Or.inr",
"PNat",
"instOfNatPNatOfNeZeroNat",
"rfl"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_E'3 | ADEInequality | null | 22 | [
"ADEInequality.Admissible",
"ADEInequality.E'",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"PNat",
"instOfNatNat",
"instOfNatPNatOfNeZeroNat"
] | 88 | [
"ADEInequality.A'",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"Eq",
"Exists",
"Multiset",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"Or",
"Or.inl",
"Or.inr",
"PNat",
"instOfNatNat",
"instOfNatPNa... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_E'4 | ADEInequality | null | 22 | [
"ADEInequality.Admissible",
"ADEInequality.E'",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"PNat",
"instOfNatNat",
"instOfNatPNatOfNeZeroNat"
] | 90 | [
"ADEInequality.A'",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"Eq",
"Exists",
"Multiset",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"Or",
"Or.inl",
"Or.inr",
"PNat",
"instOfNatNat",
"instOfNatPNa... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_E'5 | ADEInequality | null | 22 | [
"ADEInequality.Admissible",
"ADEInequality.E'",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"PNat",
"instOfNatNat",
"instOfNatPNatOfNeZeroNat"
] | 89 | [
"ADEInequality.A'",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"Eq",
"Exists",
"Multiset",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"Or",
"Or.inr",
"PNat",
"instOfNatNat",
"instOfNatPNatOfNeZeroNat... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_E6 | ADEInequality | null | 3 | [
"ADEInequality.Admissible",
"ADEInequality.E6"
] | 1 | [
"ADEInequality.admissible_E'3"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_E7 | ADEInequality | null | 3 | [
"ADEInequality.Admissible",
"ADEInequality.E7"
] | 1 | [
"ADEInequality.admissible_E'4"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_E8 | ADEInequality | null | 3 | [
"ADEInequality.Admissible",
"ADEInequality.E8"
] | 1 | [
"ADEInequality.admissible_E'5"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_of_one_lt_sumInv | ADEInequality | null | 50 | [
"ADEInequality.Admissible",
"ADEInequality.sumInv",
"Insert.insert",
"LT.lt",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Rat",
"Rat.instLT",
"Rat.instOfNat",
"Singleton.singleton"
] | 495 | [
"ADEInequality.A'",
"ADEInequality.Admissible",
"ADEInequality.D'",
"ADEInequality.E'",
"ADEInequality.E'._proof_1",
"ADEInequality.E7._proof_1",
"ADEInequality.E8._proof_1",
"ADEInequality.admissible_of_one_lt_sumInv_aux",
"ADEInequality.sumInv",
"DecidableRel",
"DistribLattice.toLattice",
"E... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_of_one_lt_sumInv_aux | ADEInequality | null | 67 | [
"ADEInequality.Admissible",
"ADEInequality.sumInv",
"DistribLattice.toLattice",
"Eq",
"LT.lt",
"Lattice.toSemilatticeInf",
"List",
"List.SortedLE",
"List.length",
"Multiset.ofList",
"Nat",
"OfNat.ofNat",
"PNat",
"PartialOrder.toPreorder",
"Rat",
"Rat.instLT",
"Rat.instOfNat",
"Semi... | 467 | [
"ADEInequality.Admissible",
"ADEInequality.admissible_of_one_lt_sumInv_aux'",
"ADEInequality.sumInv",
"And",
"And.casesOn",
"DistribLattice.toLattice",
"Eq",
"Eq.mp",
"Eq.refl",
"Eq.trans",
"False",
"IsEmpty.forall_iff._simp_1",
"LE.le",
"LT.lt",
"Lattice.toSemilatticeInf",
"List",
"... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.admissible_of_one_lt_sumInv_aux' | ADEInequality | null | 77 | [
"ADEInequality.Admissible",
"ADEInequality.sumInv",
"DistribLattice.toLattice",
"Insert.insert",
"LE.le",
"LT.lt",
"Lattice.toSemilatticeInf",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Rat",
"Rat.ins... | 2,448 | [
"ADEInequality.Admissible",
"ADEInequality.admissible_A'",
"ADEInequality.admissible_D'",
"ADEInequality.admissible_E6",
"ADEInequality.admissible_E7",
"ADEInequality.admissible_E8",
"ADEInequality.lt_four",
"ADEInequality.lt_six",
"ADEInequality.lt_three",
"ADEInequality.sumInv",
"And",
"And.... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.classification | ADEInequality | null | 47 | [
"ADEInequality.Admissible",
"ADEInequality.sumInv",
"Iff",
"Insert.insert",
"LT.lt",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Rat",
"Rat.instLT",
"Rat.instOfNat",
"Singleton.singleton"
] | 55 | [
"ADEInequality.Admissible",
"ADEInequality.Admissible.one_lt_sumInv",
"ADEInequality.admissible_of_one_lt_sumInv",
"ADEInequality.sumInv",
"Iff.intro",
"Insert.insert",
"LT.lt",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"OfNat.ofNat",
"PNat",
"Rat",
"Rat.instLT",
"Rat.... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.lt_four | ADEInequality | null | 100 | [
"ADEInequality.sumInv",
"DistribLattice.toLattice",
"Insert.insert",
"LE.le",
"LT.lt",
"Lattice.toSemilatticeInf",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"PNat",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Preorder.toLT... | 596 | [
"ADEInequality.sumInv",
"ADEInequality.sumInv_pqr",
"AddGroupWithOne.toAddMonoidWithOne",
"AddMonoidWithOne.toNatCast",
"Bool",
"Distrib.toAdd",
"DistribLattice.toLattice",
"DivisionRing.toRing",
"DivisionSemiring.toGroupWithZero",
"DivisionSemiring.toSemiring",
"Eq",
"Eq.mpr",
"Eq.refl",
... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.lt_six | ADEInequality | null | 97 | [
"ADEInequality.sumInv",
"DistribLattice.toLattice",
"Insert.insert",
"LT.lt",
"Lattice.toSemilatticeInf",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"PNat",
"PartialOrder.toPreorder",
"Preorder.toLT",
"Rat",
"Rat.instLT",
... | 587 | [
"ADEInequality.sumInv",
"ADEInequality.sumInv_pqr",
"AddGroupWithOne.toAddMonoidWithOne",
"AddMonoidWithOne.toNatCast",
"Bool",
"Distrib.toAdd",
"DistribLattice.toLattice",
"DivisionRing.toRing",
"DivisionSemiring.toGroupWithZero",
"DivisionSemiring.toSemiring",
"Eq",
"Eq.mpr",
"Eq.refl",
... |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.lt_three | ADEInequality | null | 94 | [
"ADEInequality.sumInv",
"DistribLattice.toLattice",
"Insert.insert",
"LE.le",
"LT.lt",
"Lattice.toSemilatticeInf",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"Nat",
"Nat.instNeZeroSucc",
"OfNat.ofNat",
"PNat",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Preorder.toLT... | 580 | [
"ADEInequality.sumInv",
"ADEInequality.sumInv_pqr",
"AddGroupWithOne.toAddMonoidWithOne",
"AddMonoidWithOne.toNatCast",
"Bool",
"Distrib.toAdd",
"DistribLattice.toLattice",
"DivisionRing.toRing",
"DivisionSemiring.toGroupWithZero",
"DivisionSemiring.toSemiring",
"Eq",
"Eq.mpr",
"Eq.refl",
... |
16 | false | false | definition | Mathlib.NumberTheory.ADEInequality | ADEInequality.sumInv | ADEInequality | regular | 5 | [
"Multiset",
"PNat",
"Rat"
] | 29 | [
"Inv.inv",
"Multiset",
"Multiset.map",
"Multiset.sum",
"Nat.cast",
"PNat",
"PNat.val",
"Rat",
"Rat.addCommMonoid",
"Rat.instInv",
"Rat.instNatCast"
] |
null | true | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.sumInv.eq_1 | ADEInequality.sumInv | null | 35 | [
"ADEInequality.sumInv",
"Eq",
"Inv.inv",
"Multiset",
"Multiset.map",
"Multiset.sum",
"Nat.cast",
"PNat",
"PNat.val",
"Rat",
"Rat.addCommMonoid",
"Rat.instInv",
"Rat.instNatCast"
] | 11 | [
"ADEInequality.sumInv",
"Eq.refl",
"Multiset",
"PNat",
"Rat"
] |
null | false | false | theorem | Mathlib.NumberTheory.ADEInequality | ADEInequality.sumInv_pqr | ADEInequality | null | 64 | [
"ADEInequality.sumInv",
"Eq",
"HAdd.hAdd",
"Insert.insert",
"Inv.inv",
"Multiset",
"Multiset.instInsert",
"Multiset.instSingleton",
"Nat.cast",
"PNat",
"PNat.val",
"Rat",
"Rat.instAdd",
"Rat.instInv",
"Rat.instNatCast",
"Singleton.singleton",
"instHAdd"
] | 228 | [
"ADEInequality.sumInv",
"AddCommMonoid.toAddMonoid",
"AddMonoid.toAddZeroClass",
"AddSemigroup.toAdd",
"AddZero.toAdd",
"AddZeroClass.toAddZero",
"Eq",
"Eq.trans",
"HAdd.hAdd",
"Insert.insert",
"Inv.inv",
"Multiset",
"Multiset.cons",
"Multiset.instInsert",
"Multiset.instSingleton",
"Mu... |
9 | false | false | definition | Mathlib.MeasureTheory.Measure.MeasureSpaceDef | AEMeasurable | regular | 26 | [
"AEMeasurable._auto_1",
"MeasurableSpace",
"MeasureTheory.Measure",
"autoParam"
] | 57 | [
"And",
"Exists",
"Filter.EventuallyEq",
"Measurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.ae"
] | |
null | true | true | definition | Mathlib.MeasureTheory.Measure.MeasureSpaceDef | AEMeasurable._auto_1 | AEMeasurable | opaque | 1 | [
"Lean.Syntax"
] | 43 | [
"Array.empty",
"Array.push",
"Lean.Name.mkStr1",
"Lean.Name.mkStr2",
"Lean.Name.mkStr4",
"Lean.SourceInfo.none",
"Lean.Syntax",
"Lean.Syntax.node",
"Lean.mkAtom"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Order.Group.Lattice | AEMeasurable.abs | AEMeasurable | null | 83 | [
"AEMeasurable",
"AddGroup",
"AddGroup.toSubtractionMonoid",
"Lattice",
"Lattice.toSemilatticeSup",
"MeasurableNeg",
"MeasurableSpace",
"MeasurableSup₂",
"MeasureTheory.Measure",
"NegZeroClass.toNeg",
"SemilatticeSup.toMax",
"SubNegZeroMonoid.toNegZeroClass",
"SubtractionMonoid.toSubNegZeroMo... | 92 | [
"AEMeasurable",
"AddGroup",
"AddGroup.toSubtractionMonoid",
"Lattice",
"Lattice.toSemilatticeSup",
"Measurable.comp_aemeasurable",
"MeasurableNeg",
"MeasurableSpace",
"MeasurableSup₂",
"MeasureTheory.Measure",
"NegZeroClass.toNeg",
"SemilatticeSup.toMax",
"SubNegZeroMonoid.toNegZeroClass",
... |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.add | AEMeasurable | null | 75 | [
"AEMeasurable",
"Add",
"HAdd.hAdd",
"MeasurableAdd₂",
"MeasurableSpace",
"MeasureTheory.Measure",
"Pi.instAdd",
"instHAdd"
] | 117 | [
"AEMeasurable",
"AEMeasurable.prodMk",
"Add",
"HAdd.hAdd",
"Measurable.comp_aemeasurable",
"MeasurableAdd₂",
"MeasurableAdd₂.measurable_add",
"MeasurableSpace",
"MeasureTheory.Measure",
"Prod",
"Prod.fst",
"Prod.instMeasurableSpace",
"Prod.mk",
"Prod.snd",
"instHAdd"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.add' | AEMeasurable | null | 75 | [
"AEMeasurable",
"Add",
"HAdd.hAdd",
"MeasurableAdd₂",
"MeasurableSpace",
"MeasureTheory.Measure",
"Pi.instAdd",
"instHAdd"
] | 1 | [
"AEMeasurable.add"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.add_const | AEMeasurable | null | 62 | [
"AEMeasurable",
"Add",
"HAdd.hAdd",
"MeasurableAdd",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHAdd"
] | 73 | [
"AEMeasurable",
"Add",
"HAdd.hAdd",
"Measurable.comp_aemeasurable",
"MeasurableAdd",
"MeasurableAdd.measurable_add_const",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHAdd"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.add_iff_left | AEMeasurable | null | 122 | [
"AEMeasurable",
"AddCommGroup",
"AddCommGroup.toAddGroup",
"AddCommGroup.toDivisionAddCommMonoid",
"AddGroup.toSubNegMonoid",
"AddMonoid.toAddZeroClass",
"AddZero.toAdd",
"AddZeroClass.toAddZero",
"HAdd.hAdd",
"Iff",
"MeasurableAdd₂",
"MeasurableNeg",
"MeasurableSpace",
"MeasureTheory.Meas... | 184 | [
"AEMeasurable",
"AEMeasurable.add_iff_right",
"AddCommGroup",
"AddCommGroup.toAddCommMonoid",
"AddCommGroup.toAddGroup",
"AddCommGroup.toDivisionAddCommMonoid",
"AddCommMagma.toAdd",
"AddCommMonoid.toAddCommSemigroup",
"AddCommSemigroup.toAddCommMagma",
"AddGroup.toSubNegMonoid",
"AddMonoid.toAd... |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.add_iff_right | AEMeasurable | null | 122 | [
"AEMeasurable",
"AddCommGroup",
"AddCommGroup.toAddGroup",
"AddCommGroup.toDivisionAddCommMonoid",
"AddGroup.toSubNegMonoid",
"AddMonoid.toAddZeroClass",
"AddZero.toAdd",
"AddZeroClass.toAddZero",
"HAdd.hAdd",
"Iff",
"MeasurableAdd₂",
"MeasurableNeg",
"MeasurableSpace",
"MeasureTheory.Meas... | 321 | [
"AEMeasurable",
"AEMeasurable.add",
"AEMeasurable.neg",
"AddCommGroup",
"AddCommGroup.toAddGroup",
"AddCommGroup.toDivisionAddCommMonoid",
"AddGroup.toSubNegMonoid",
"AddMonoid.toAddZeroClass",
"AddZero.toAdd",
"AddZeroClass.toAddZero",
"Eq",
"Eq.rec",
"Eq.symm",
"Eq.trans",
"HAdd.hAdd",... |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.add_measure | AEMeasurable | null | 64 | [
"AEMeasurable",
"HAdd.hAdd",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instAdd",
"instHAdd"
] | 87 | [
"AEMeasurable",
"And",
"And.intro",
"HAdd.hAdd",
"Iff.mpr",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instAdd",
"aemeasurable_add_measure_iff",
"instHAdd"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.MeasureSpaceDef | AEMeasurable.ae_eq_mk | AEMeasurable | null | 59 | [
"AEMeasurable",
"AEMeasurable.mk",
"Filter.EventuallyEq",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.ae"
] | 96 | [
"AEMeasurable",
"And",
"And.right",
"Classical.choose",
"Classical.choose_spec",
"Filter.EventuallyEq",
"Measurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.ae"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.ae_inf_principal_eq_mk | AEMeasurable | null | 84 | [
"AEMeasurable",
"AEMeasurable.mk",
"Filter",
"Filter.EventuallyEq",
"Filter.instInf",
"Filter.principal",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.Measure.restrict",
"MeasureTheory.ae",
"Min... | 85 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.mk",
"Eq",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.restrict",
"MeasureTheory.le_ae_restrict",
"Set",
"Set.ofPred"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.ae_mem_imp_eq_mk | AEMeasurable | null | 89 | [
"AEMeasurable",
"AEMeasurable.mk",
"Eq",
"Filter.Eventually",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.Measure.restrict",
"MeasureTheory.ae",
"Membership.mem",
"Set",
"Set.instMembership"
] | 79 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.mk",
"Eq",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.restrict",
"MeasureTheory.ae_imp_of_ae_restrict",
"Set"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.GiryMonad | AEMeasurable.ae_of_bind | AEMeasurable | null | 91 | [
"AEMeasurable",
"Filter.Eventually",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.bind",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instMeasurableSpace",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.ae"
] | 99 | [
"AEMeasurable",
"AEMeasurable.ae_of_join",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.bind",
"MeasureTheory.Measure.instMeasurableSpace",
"MeasureTheory.Measure.map",
"MeasureTheory.ae_of_ae_map"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.GiryMonad | AEMeasurable.ae_of_join | AEMeasurable | null | 70 | [
"AEMeasurable",
"Filter.Eventually",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instMeasurableSpace",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.Measure.join",
"MeasureTheory.ae"
] | 245 | [
"AEMeasurable",
"And",
"And.intro",
"Eq",
"Exists.intro",
"Filter.Eventually",
"Filter.Eventually.mono",
"Filter.EventuallyEq",
"Measurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.ae_ae_of_ae_join",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.in... |
null | false | false | theorem | Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable | AEMeasurable.aestronglyMeasurable | AEMeasurable | null | 59 | [
"AEMeasurable",
"MeasurableSpace",
"MeasureTheory.AEStronglyMeasurable",
"MeasureTheory.Measure",
"OpensMeasurableSpace",
"SecondCountableTopology",
"TopologicalSpace",
"TopologicalSpace.PseudoMetrizableSpace"
] | 149 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.measurable_mk",
"AEMeasurable.mk",
"And",
"And.intro",
"Exists.intro",
"Filter.EventuallyEq",
"Measurable.stronglyMeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOu... |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap | AEMeasurable.apply_continuousLinearMap | AEMeasurable | null | 332 | [
"AEMeasurable",
"AddCommGroup.toAddCommMonoid",
"BorelSpace",
"ContinuousLinearMap",
"ContinuousLinearMap.funLike",
"ContinuousLinearMap.instMeasurableSpace",
"DFunLike.coe",
"DivisionSemiring.toSemiring",
"Field.toSemifield",
"MeasurableSpace",
"MeasureTheory.Measure",
"NontriviallyNormedFiel... | 924 | [
"AEMeasurable",
"AddCommGroup.toAddCommMonoid",
"AddCommGroup.toAddGroup",
"AddCommGroup.toDivisionAddCommMonoid",
"AddCommMonoid.toAddMonoid",
"AddMonoid.toAddZeroClass",
"AddZero.toZero",
"AddZeroClass.toAddZero",
"BorelSpace",
"BorelSpace.opensMeasurable",
"CommMonoid.toMonoid",
"CommRing.t... |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Order | AEMeasurable.biInf | AEMeasurable | null | 144 | [
"AEMeasurable",
"BorelSpace",
"ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
"ConditionallyCompleteLinearOrder",
"ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
"ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderInf",
"ConditionallyCompleteParti... | 151 | [
"AEMeasurable",
"AEMeasurable.biSup",
"BorelSpace",
"ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
"ConditionallyCompleteLattice.toLattice",
"ConditionallyCompleteLinearOrder",
"ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
"ConditionallyCompletePartialOrder.to... |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Order | AEMeasurable.biSup | AEMeasurable | null | 143 | [
"AEMeasurable",
"BorelSpace",
"ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
"ConditionallyCompleteLinearOrder",
"ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
"ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
"ConditionallyCompleteParti... | 855 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.measurable_mk",
"AEMeasurable.mk",
"And",
"And.intro",
"BorelSpace",
"Classical.propDecidable",
"ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
"ConditionallyCompleteLinearOrder",
"ConditionallyCompleteLinearOrder.toCondi... |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.carg | AEMeasurable | null | 38 | [
"AEMeasurable",
"Complex",
"Complex.arg",
"Complex.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace"
] | 42 | [
"AEMeasurable",
"Complex",
"Complex.arg",
"Complex.measurableSpace",
"Complex.measurable_arg",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.ccos | AEMeasurable | null | 36 | [
"AEMeasurable",
"Complex",
"Complex.cos",
"Complex.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 40 | [
"AEMeasurable",
"Complex",
"Complex.cos",
"Complex.measurableSpace",
"Complex.measurable_cos",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.ccosh | AEMeasurable | null | 36 | [
"AEMeasurable",
"Complex",
"Complex.cosh",
"Complex.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 40 | [
"AEMeasurable",
"Complex",
"Complex.cosh",
"Complex.measurableSpace",
"Complex.measurable_cosh",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.cexp | AEMeasurable | null | 36 | [
"AEMeasurable",
"Complex",
"Complex.exp",
"Complex.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 40 | [
"AEMeasurable",
"Complex",
"Complex.exp",
"Complex.measurableSpace",
"Complex.measurable_exp",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.clog | AEMeasurable | null | 36 | [
"AEMeasurable",
"Complex",
"Complex.log",
"Complex.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 40 | [
"AEMeasurable",
"Complex",
"Complex.log",
"Complex.measurableSpace",
"Complex.measurable_log",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.coe_ereal_ennreal | AEMeasurable | null | 38 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.toEReal",
"EReal",
"EReal.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 42 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.toEReal",
"EReal",
"EReal.measurableSpace",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"measurable_coe_ennreal_ereal"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.coe_nnreal_ennreal | AEMeasurable | null | 38 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.ofNNReal",
"MeasurableSpace",
"MeasureTheory.Measure",
"NNReal",
"NNReal.measurableSpace"
] | 62 | [
"AEMeasurable",
"BorelSpace.opensMeasurable",
"Continuous.measurable",
"ENNReal",
"ENNReal.borelSpace",
"ENNReal.continuous_coe",
"ENNReal.instTopologicalSpace",
"ENNReal.measurableSpace",
"ENNReal.ofNNReal",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"NNReal... |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.coe_nnreal_real | AEMeasurable | null | 38 | [
"AEMeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"NNReal",
"NNReal.measurableSpace",
"NNReal.toReal",
"Real",
"Real.measurableSpace"
] | 42 | [
"AEMeasurable",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"NNReal",
"NNReal.measurableSpace",
"NNReal.toReal",
"Real",
"Real.measurableSpace",
"measurable_coe_nnreal_real"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.coe_real_ereal | AEMeasurable | null | 38 | [
"AEMeasurable",
"EReal",
"EReal.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace",
"Real.toEReal"
] | 42 | [
"AEMeasurable",
"EReal",
"EReal.measurableSpace",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace",
"Real.toEReal",
"measurable_coe_real_ereal"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.comp_aemeasurable | AEMeasurable | null | 70 | [
"AEMeasurable",
"Function.comp",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.map"
] | 229 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.measurable_mk",
"AEMeasurable.mk",
"And",
"And.intro",
"Exists.intro",
"Filter.EventuallyEq",
"Filter.EventuallyEq.fun_comp",
"Filter.EventuallyEq.trans",
"Function.comp",
"Measurable",
"Measurable.comp",
"MeasurableSpace",
"MeasureT... |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.comp_aemeasurable' | AEMeasurable | null | 67 | [
"AEMeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.map"
] | 69 | [
"AEMeasurable",
"AEMeasurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.map"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.Prod | AEMeasurable.comp_fst | AEMeasurable | null | 71 | [
"AEMeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.prod",
"Prod",
"Prod.fst",
"Prod.instMeasurableSpace"
] | 81 | [
"AEMeasurable",
"AEMeasurable.comp_quasiMeasurePreserving",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.prod",
"MeasureTheory.Measure.quasiMeasurePreserving_fst",
"Prod",
"Prod.fst",
"Prod.instMeasurableSpace"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.comp_measurable | AEMeasurable | null | 69 | [
"AEMeasurable",
"Function.comp",
"Measurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.map"
] | 76 | [
"AEMeasurable",
"AEMeasurable.comp_aemeasurable",
"Measurable",
"Measurable.aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.map"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.comp_quasiMeasurePreserving | AEMeasurable | null | 69 | [
"AEMeasurable",
"Function.comp",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.QuasiMeasurePreserving"
] | 103 | [
"AEMeasurable",
"AEMeasurable.comp_measurable",
"AEMeasurable.mono'",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.QuasiMeasurePreserving",
"MeasureTheory.Measure.QuasiMeasurePreserving.absolutelyContinuous",
"MeasureTheory.Measure.QuasiMeasurePreserving.measurable",
"MeasureTh... |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.Prod | AEMeasurable.comp_snd | AEMeasurable | null | 72 | [
"AEMeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.prod",
"Prod",
"Prod.instMeasurableSpace",
"Prod.snd"
] | 81 | [
"AEMeasurable",
"AEMeasurable.comp_quasiMeasurePreserving",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.prod",
"MeasureTheory.Measure.quasiMeasurePreserving_snd",
"Prod",
"Prod.instMeasurableSpace",
"Prod.snd"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.complex_ofReal | AEMeasurable | null | 38 | [
"AEMeasurable",
"Complex",
"Complex.measurableSpace",
"Complex.ofReal",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace"
] | 54 | [
"AEMeasurable",
"Complex",
"Complex.measurableSpace",
"Complex.ofReal",
"Measurable.comp_aemeasurable'",
"Measurable.complex_ofReal",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace",
"measurable_id'"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.MeasureSpaceDef | AEMeasurable.congr | AEMeasurable | null | 62 | [
"AEMeasurable",
"Filter.EventuallyEq",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.ae"
] | 155 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.measurable_mk",
"AEMeasurable.mk",
"And",
"And.intro",
"Exists.intro",
"Filter.EventuallyEq",
"Filter.EventuallyEq.symm",
"Filter.EventuallyEq.trans",
"Measurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.ins... |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.const_add | AEMeasurable | null | 62 | [
"AEMeasurable",
"Add",
"HAdd.hAdd",
"MeasurableAdd",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHAdd"
] | 73 | [
"AEMeasurable",
"Add",
"HAdd.hAdd",
"Measurable.comp_aemeasurable",
"MeasurableAdd",
"MeasurableAdd.measurable_const_add",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHAdd"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.const_div | AEMeasurable | null | 62 | [
"AEMeasurable",
"Div",
"HDiv.hDiv",
"MeasurableDiv",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHDiv"
] | 73 | [
"AEMeasurable",
"Div",
"HDiv.hDiv",
"Measurable.comp_aemeasurable",
"MeasurableDiv",
"MeasurableDiv.measurable_const_div",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHDiv"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Order.Lattice | AEMeasurable.const_inf | AEMeasurable | null | 57 | [
"AEMeasurable",
"MeasurableInf",
"MeasurableSpace",
"MeasureTheory.Measure",
"Min",
"Min.min"
] | 68 | [
"AEMeasurable",
"Measurable.comp_aemeasurable",
"MeasurableInf",
"MeasurableInf.measurable_const_inf",
"MeasurableSpace",
"MeasureTheory.Measure",
"Min",
"Min.min"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Inner | AEMeasurable.const_inner | AEMeasurable | null | 109 | [
"AEMeasurable",
"Inner.inner",
"InnerProductSpace",
"InnerProductSpace.toInner",
"MeasurableSpace",
"MeasureTheory.Measure",
"NormedAddCommGroup",
"NormedAddCommGroup.toSeminormedAddCommGroup",
"OpensMeasurableSpace",
"PseudoMetricSpace.toUniformSpace",
"RCLike",
"RCLike.measurableSpace",
"S... | 108 | [
"AEMeasurable",
"AEMeasurable.inner",
"InnerProductSpace",
"MeasurableSpace",
"MeasureTheory.Measure",
"NormedAddCommGroup",
"NormedAddCommGroup.toSeminormedAddCommGroup",
"OpensMeasurableSpace",
"PseudoMetricSpace.toUniformSpace",
"RCLike",
"SecondCountableTopology",
"SeminormedAddCommGroup.t... |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.const_mul | AEMeasurable | null | 62 | [
"AEMeasurable",
"HMul.hMul",
"MeasurableMul",
"MeasurableSpace",
"MeasureTheory.Measure",
"Mul",
"instHMul"
] | 73 | [
"AEMeasurable",
"HMul.hMul",
"Measurable.comp_aemeasurable",
"MeasurableMul",
"MeasurableMul.measurable_const_mul",
"MeasurableSpace",
"MeasureTheory.Measure",
"Mul",
"instHMul"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.const_pow | AEMeasurable | null | 74 | [
"AEMeasurable",
"HPow.hPow",
"MeasurablePow",
"MeasurableSpace",
"MeasureTheory.Measure",
"Pow",
"instHPow"
] | 75 | [
"AEMeasurable",
"AEMeasurable.pow",
"MeasurablePow",
"MeasurableSpace",
"MeasureTheory.Measure",
"Pow",
"aemeasurable_const"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.const_smul | AEMeasurable | null | 71 | [
"AEMeasurable",
"Function.hasSMul",
"HSMul.hSMul",
"MeasurableConstSMul",
"MeasurableSpace",
"MeasureTheory.Measure",
"SMul",
"instHSMul"
] | 80 | [
"AEMeasurable",
"HSMul.hSMul",
"Measurable.comp_aemeasurable",
"MeasurableConstSMul",
"MeasurableConstSMul.measurable_const_smul",
"MeasurableSpace",
"MeasureTheory.Measure",
"SMul",
"instHSMul"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.const_sub | AEMeasurable | null | 62 | [
"AEMeasurable",
"HSub.hSub",
"MeasurableSpace",
"MeasurableSub",
"MeasureTheory.Measure",
"Sub",
"instHSub"
] | 73 | [
"AEMeasurable",
"HSub.hSub",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasurableSub",
"MeasurableSub.measurable_const_sub",
"MeasureTheory.Measure",
"Sub",
"instHSub"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Order.Lattice | AEMeasurable.const_sup | AEMeasurable | null | 57 | [
"AEMeasurable",
"Max",
"Max.max",
"MeasurableSpace",
"MeasurableSup",
"MeasureTheory.Measure"
] | 68 | [
"AEMeasurable",
"Max",
"Max.max",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasurableSup",
"MeasurableSup.measurable_const_sup",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.const_vadd | AEMeasurable | null | 71 | [
"AEMeasurable",
"Function.hasVAdd",
"HVAdd.hVAdd",
"MeasurableConstVAdd",
"MeasurableSpace",
"MeasureTheory.Measure",
"VAdd",
"instHVAdd"
] | 80 | [
"AEMeasurable",
"HVAdd.hVAdd",
"Measurable.comp_aemeasurable",
"MeasurableConstVAdd",
"MeasurableConstVAdd.measurable_const_vadd",
"MeasurableSpace",
"MeasureTheory.Measure",
"VAdd",
"instHVAdd"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.cos | AEMeasurable | null | 36 | [
"AEMeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.cos",
"Real.measurableSpace"
] | 40 | [
"AEMeasurable",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.cos",
"Real.measurableSpace",
"Real.measurable_cos"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.cosh | AEMeasurable | null | 36 | [
"AEMeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.cosh",
"Real.measurableSpace"
] | 40 | [
"AEMeasurable",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.cosh",
"Real.measurableSpace",
"Real.measurable_cosh"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.csin | AEMeasurable | null | 36 | [
"AEMeasurable",
"Complex",
"Complex.measurableSpace",
"Complex.sin",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 40 | [
"AEMeasurable",
"Complex",
"Complex.measurableSpace",
"Complex.measurable_sin",
"Complex.sin",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Function.SpecialFunctions.Basic | AEMeasurable.csinh | AEMeasurable | null | 36 | [
"AEMeasurable",
"Complex",
"Complex.measurableSpace",
"Complex.sinh",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 40 | [
"AEMeasurable",
"Complex",
"Complex.measurableSpace",
"Complex.measurable_sinh",
"Complex.sinh",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Metric | AEMeasurable.dist | AEMeasurable | null | 87 | [
"AEMeasurable",
"Dist.dist",
"MeasurableSpace",
"MeasureTheory.Measure",
"OpensMeasurableSpace",
"PseudoMetricSpace",
"PseudoMetricSpace.toDist",
"PseudoMetricSpace.toUniformSpace",
"Real",
"Real.measurableSpace",
"SecondCountableTopology",
"UniformSpace.toTopologicalSpace"
] | 119 | [
"AEMeasurable",
"Continuous.aemeasurable2",
"Dist.dist",
"MeasurableSpace",
"MeasureTheory.Measure",
"OpensMeasurableSpace",
"PseudoMetricSpace",
"PseudoMetricSpace.toDist",
"PseudoMetricSpace.toUniformSpace",
"Real",
"Real.borelSpace",
"Real.measurableSpace",
"Real.pseudoMetricSpace",
"Se... |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.div | AEMeasurable | null | 75 | [
"AEMeasurable",
"Div",
"HDiv.hDiv",
"MeasurableDiv₂",
"MeasurableSpace",
"MeasureTheory.Measure",
"Pi.instDiv",
"instHDiv"
] | 117 | [
"AEMeasurable",
"AEMeasurable.prodMk",
"Div",
"HDiv.hDiv",
"Measurable.comp_aemeasurable",
"MeasurableDiv₂",
"MeasurableDiv₂.measurable_div",
"MeasurableSpace",
"MeasureTheory.Measure",
"Prod",
"Prod.fst",
"Prod.instMeasurableSpace",
"Prod.mk",
"Prod.snd",
"instHDiv"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.div' | AEMeasurable | null | 75 | [
"AEMeasurable",
"Div",
"HDiv.hDiv",
"MeasurableDiv₂",
"MeasurableSpace",
"MeasureTheory.Measure",
"Pi.instDiv",
"instHDiv"
] | 1 | [
"AEMeasurable.div"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Group.Arithmetic | AEMeasurable.div_const | AEMeasurable | null | 62 | [
"AEMeasurable",
"Div",
"HDiv.hDiv",
"MeasurableDiv",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHDiv"
] | 73 | [
"AEMeasurable",
"Div",
"HDiv.hDiv",
"Measurable.comp_aemeasurable",
"MeasurableDiv",
"MeasurableDiv.measurable_div_const",
"MeasurableSpace",
"MeasureTheory.Measure",
"instHDiv"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Metric | AEMeasurable.edist | AEMeasurable | null | 95 | [
"AEMeasurable",
"EDist.edist",
"ENNReal",
"ENNReal.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure",
"OpensMeasurableSpace",
"PseudoEMetricSpace",
"PseudoEMetricSpace.toUniformSpace",
"PseudoEMetricSpace.toWeakPseudoEMetricSpace",
"SecondCountableTopology",
"UniformSpace.toTopologi... | 117 | [
"AEMeasurable",
"Continuous.aemeasurable2",
"EDist.edist",
"ENNReal",
"ENNReal.borelSpace",
"ENNReal.instTopologicalSpace",
"ENNReal.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure",
"OpensMeasurableSpace",
"PseudoEMetricSpace",
"PseudoEMetricSpace.toUniformSpace",
"PseudoEMetric... |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.ennreal_ofReal | AEMeasurable | null | 38 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.ofReal",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace"
] | 68 | [
"AEMeasurable",
"BorelSpace.opensMeasurable",
"Continuous.measurable",
"ENNReal",
"ENNReal.borelSpace",
"ENNReal.continuous_ofReal",
"ENNReal.instTopologicalSpace",
"ENNReal.measurableSpace",
"ENNReal.ofReal",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Pseud... |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.ennreal_toNNReal | AEMeasurable | null | 38 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.toNNReal",
"MeasurableSpace",
"MeasureTheory.Measure",
"NNReal",
"NNReal.measurableSpace"
] | 42 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.measurable_toNNReal",
"ENNReal.toNNReal",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"NNReal",
"NNReal.measurableSpace"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.ennreal_toReal | AEMeasurable | null | 38 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.toReal",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace"
] | 42 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"ENNReal.measurable_toReal",
"ENNReal.toReal",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.ennreal_tsum | AEMeasurable | null | 53 | [
"AEMeasurable",
"Countable",
"ENNReal",
"ENNReal.instAddCommMonoid",
"ENNReal.instTopologicalSpace",
"ENNReal.measurableSpace",
"MeasurableSpace",
"MeasureTheory.Measure",
"SummationFilter.unconditional",
"tsum"
] | 217 | [
"AEMeasurable",
"AEMeasurable._auto_1",
"AEMeasurable.iSup",
"AddCommMonoid.toAddMonoid",
"AddMonoid.toAddZeroClass",
"AddZero.toAdd",
"AddZeroClass.toAddZero",
"CompleteLinearOrder.toConditionallyCompleteLinearOrderBot",
"ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
"Conditi... |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Metric | AEMeasurable.enorm | AEMeasurable | null | 64 | [
"AEMeasurable",
"ContinuousENorm",
"ContinuousENorm.toENorm",
"ENNReal",
"ENNReal.measurableSpace",
"ENorm.enorm",
"MeasurableSpace",
"MeasureTheory.Measure",
"OpensMeasurableSpace",
"TopologicalSpace"
] | 73 | [
"AEMeasurable",
"ContinuousENorm",
"ContinuousENorm.toENorm",
"ENNReal",
"ENNReal.measurableSpace",
"ENorm.enorm",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"OpensMeasurableSpace",
"TopologicalSpace",
"measurable_enorm"
] |
null | true | false | theorem | Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable | AEMeasurable.eq_1 | AEMeasurable | null | 69 | [
"AEMeasurable",
"And",
"Eq",
"Exists",
"Filter.EventuallyEq",
"Measurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.ae"
] | 33 | [
"AEMeasurable",
"Eq.refl",
"MeasurableSpace",
"MeasureTheory.Measure"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.ereal_toENNReal | AEMeasurable | null | 38 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"EReal",
"EReal.measurableSpace",
"EReal.toENNReal",
"MeasurableSpace",
"MeasureTheory.Measure"
] | 42 | [
"AEMeasurable",
"ENNReal",
"ENNReal.measurableSpace",
"EReal",
"EReal.measurableSpace",
"EReal.toENNReal",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"measurable_ereal_toENNReal"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Constructions.BorelSpace.Real | AEMeasurable.ereal_toReal | AEMeasurable | null | 38 | [
"AEMeasurable",
"EReal",
"EReal.measurableSpace",
"EReal.toReal",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace"
] | 42 | [
"AEMeasurable",
"EReal",
"EReal.measurableSpace",
"EReal.toReal",
"Measurable.comp_aemeasurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"Real",
"Real.measurableSpace",
"measurable_ereal_toReal"
] |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.MeasureSpaceDef | AEMeasurable.eval | AEMeasurable | null | 55 | [
"AEMeasurable",
"MeasurableSpace",
"MeasurableSpace.pi",
"MeasureTheory.Measure"
] | 213 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.measurable_mk",
"AEMeasurable.mk",
"And",
"And.intro",
"Eq",
"Exists.intro",
"Filter.Eventually.mono",
"Filter.EventuallyEq",
"Measurable",
"Measurable.eval",
"MeasurableSpace",
"MeasurableSpace.pi",
"MeasureTheory.Measure",
"Measu... |
null | false | false | theorem | Mathlib.MeasureTheory.Measure.AEMeasurable | AEMeasurable.exists_ae_eq_range_subset | AEMeasurable | null | 117 | [
"AEMeasurable",
"And",
"Exists",
"Filter.Eventually",
"Filter.EventuallyEq",
"LE.le",
"Measurable",
"MeasurableSpace",
"MeasureTheory.Measure",
"MeasureTheory.Measure.instFunLike",
"MeasureTheory.Measure.instOuterMeasureClass",
"MeasureTheory.ae",
"Membership.mem",
"Set",
"Set.Nonempty",... | 1,109 | [
"AEMeasurable",
"AEMeasurable.ae_eq_mk",
"AEMeasurable.measurable_mk",
"AEMeasurable.mk",
"And",
"And.intro",
"BooleanAlgebra.toCompl",
"Classical.propDecidable",
"Compl.compl",
"DFunLike.coe",
"ENNReal",
"ENNReal.instZero",
"Eq",
"Eq.mp",
"Eq.mpr",
"Eq.ndrec",
"Eq.refl",
"Eq.symm"... |
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