Theorems · Theorem · logic and foundations

Primrec.ite

∀ {α : Type u_1} {σ : Type u_3} [inst : Primcodable α] [inst_1 : Primcodable σ] {c : α → Prop}
  [inst_2 : DecidablePred c] {f g : α → σ},
  PrimrecPred c → Primrec f → Primrec g → Primrec fun a => if c a then f a else g a

Defined in

Mathlib.Computability.Primrec.Basic

Cited by

9 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PrimcodablePrimcodableDecidablePred