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Theorems · Theorem · logic and foundations

pairwise_on_bool

∀ {α : Type u_1} {r : α → α → Prop} [Std.Symm r] {a b : α},
  Pairwise (Function.onFun r fun c => bif c then a else b) ↔ r a b
Defined in
Mathlib.Data.Set.Pairwise.Basic
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
Assumes
Std.Symm
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Around this declaration

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

pairwise_disjoint_on_bool · cited by 3pairwise_disjoint_on_boolMeasureTheory.measure_union₀_aux · cited by 1MeasureTheory.measure_uni…Function.onFun · cited by 570Function.onFunPairwise · cited by 516Pairwisesymm · cited by 48symmpairwise_on_boolCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.