Theorems · Theorem · order theory

Set.BijOn.union

∀ {α : Type u_1} {β : Type u_2} {s₁ s₂ : Set α} {t₁ t₂ : Set β} {f : α → β},
  Set.BijOn f s₁ t₁ → Set.BijOn f s₂ t₂ → Set.InjOn f (s₁ ∪ s₂) → Set.BijOn f (s₁ ∪ s₂) (t₁ ∪ t₂)

Defined in

Mathlib.Data.Set.Function

Cited by

1 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound