Theorems · Theorem · logic and foundations

Set.range_piecewise

∀ {α : Type u_1} {β : Type u_2} (s : Set α) [inst : (j : α) → Decidable (j ∈ s)] (f g : α → β),
  Set.range (s.piecewise f g) = f '' s ∪ g '' sᶜ

Defined in

Mathlib.Data.Set.Piecewise

Cited by

5 results in Mathlib

Foundations

Depth 8 from the axioms · uses propext, Quot.sound

Assumes

Decidable