Theorems · Theorem · order theory

Set.restrict_dite_compl

Deprecated since 2026-07-19Use Set.domRestrict_dite_compl instead.

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

Alias of Set.domRestrict_dite_compl.

Defined in

Mathlib.Data.Set.Restrict

Cited by

0 results in Mathlib

Foundations

Depth 8 from the axioms · uses Quot.sound

Assumes

Decidable