Theorems · Theorem · order theory

Set.domRestrict_ite

∀ {α : Type u_1} {β : Type u_2} (f g : α → β) (s : Set α) [inst : (x : α) → Decidable (x ∈ s)],
  (s.domRestrict fun a => if a ∈ s then f a else g a) = s.domRestrict f

Defined in

Mathlib.Data.Set.Restrict

Cited by

2 results in Mathlib

Foundations

Depth 8 from the axioms · uses Quot.sound

Assumes

Decidable