Theorems · Theorem · logic and foundations

Partrec.sumCasesOn_right

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable β]
  [inst_2 : Primcodable γ] [inst_3 : Primcodable σ] {f : α → β ⊕ γ} {g : α → β → σ} {h : α → γ →. σ},
  Computable f → Computable₂ g → Partrec₂ h → Partrec fun a => Sum.casesOn (f a) (fun b => Part.some (g a b)) (h a)

Defined in

Mathlib.Computability.Partrec

Cited by

3 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PrimcodablePrimcodablePrimcodablePrimcodable