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Theorems · Theorem · logic and foundations

pairwise_disjoint_on_bool

∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : OrderBot α] {a b : α},
  Pairwise (Function.onFun Disjoint fun c => bif c then a else b) ↔ Disjoint a b
Defined in
Mathlib.Data.Set.Pairwise.Basic
Cited by
3 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext, Quot.sound
Assumes
PartialOrderOrderBot
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.VectorMeasure.of_union · cited by 20VectorMeasure.of_unionMeasurableSpace.DynkinSystem.has_union · cited by 1DynkinSystem.has_unionMeasureTheory.extend_union · cited by 1MeasureTheory.extend_unionPartialOrder · cited by 6410PartialOrderDisjoint · cited by 2201DisjointOrderBot · cited by 1055OrderBotFunction.onFun · cited by 570Function.onFunPairwise · cited by 516Pairwisepairwise_on_bool · cited by 2pairwise_on_boolpairwise_disjoint_on_boolCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.