Theorems · Theorem · logic and foundations
Primrec.nat_strong_rec
∀ {α : Type u_1} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable σ] (f : α → ℕ → σ)
{g : α → List σ → Option σ},
Primrec₂ g → (∀ (a : α) (n : ℕ), g a (List.map (f a) (List.range n)) = some (f a n)) → Primrec₂ f- Defined in
- Mathlib.Computability.Primrec.List
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PrimcodablePrimcodable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Primrec₂statement and proof · cited by 93
- Primrec.compproof · cited by 80
- Primrec.sndproof · cited by 66
- Primrec.fstproof · cited by 58
- Primrec.constproof · cited by 57
- Primrec₂.compproof · cited by 55
- Primrec.to₂proof · cited by 37
- Option.bind_congr'proof · cited by 23
- Primrec.succproof · cited by 12
- Primrec₂.of_eqproof · cited by 9
- Primrec.option_bindproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Nat.Partrec.Code.primrec_evalnproof · cited by 3
- Nat.Partrec.Code.primrec_recOn'proof · cited by 1