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Theorems · Theorem · logic and foundations

Primrec.ofNat_iff

∀ {α : Type u_4} {β : Type u_5} [inst : Denumerable α] [inst_1 : Primcodable β] {f : α → β},
  Primrec f ↔ Primrec fun n => f (Denumerable.ofNat α n)
Defined in
Mathlib.Computability.Primrec.Basic
Cited by
3 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DenumerablePrimcodable
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Primrec.ofNat · cited by 6Primrec.ofNatPrimrec₂.ofNat_iff · cited by 3Primrec₂.ofNat_iffNat.Partrec.Code.primrec_rfind' · cited by 0Code.primrec_rfind'Primcodable · cited by 325PrimcodablePrimrec · cited by 141PrimrecDenumerable · cited by 28DenumerableDenumerable.ofNat · cited by 26Denumerable.ofNatPrimrec.encode_iff · cited by 18Primrec.encode_iffPrimrec.nat_iff · cited by 7Primrec.nat_iffPrimrec.dom_denumerable · cited by 2Primrec.dom_denumerablePrimrec.ofNat_iffCITED BYCITES

Cites7

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Cited by3

Results whose statement or proof uses this declaration.