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Theorems · Theorem · logic and foundations

RecursiveIn.partrec_of_const

∀ {α : Type u_1} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable σ] {f : α →. σ} {s : Part ℕ},
  RecursiveIn {fun x => s} f → Partrec f

If a function is recursive in a constant partial function, then it is partial recursive.

Defined in
Mathlib.Computability.RecursiveIn
Cited by
2 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PrimcodablePrimcodable

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