Theorems · Theorem · logic and foundations
Primrec.list_modify
∀ {α : Type u_1} [inst : Primcodable α] {f : α → α}, Primrec f → Primrec₂ fun l n => l.modify n fList.modify by a primitive recursive function is primitive recursive.
- Defined in
- Mathlib.Computability.Primrec.List
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Primcodable
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Primrecstatement and proof · cited by 141
- Primrec₂statement · 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
- Primrec.pairproof · cited by 9
- Primrec.list_modify'proof · cited by 2
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