Theorems · Theorem · logic and foundations
Primrec.bind_decode_iff
∀ {α : Type u_1} {β : Type u_2} {σ : Type u_3} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable σ]
{f : α → β → Option σ}, (Primrec₂ fun a n => (Encodable.decode n).bind (f a)) ↔ Primrec₂ f- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Primrecproof · cited by 141
- Primrec₂statement and proof · cited by 93
- Primrec.compproof · cited by 80
- Encodable.decodestatement and proof · cited by 77
- Primrec.sndproof · cited by 66
- Primrec.fstproof · cited by 58
- Primrec₂.compproof · cited by 55
- Encodable.encodekproof · cited by 27
- Option.bind_congr'proof · cited by 23
- Primrec.encodeproof · cited by 11
- Primrec.option_bindproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Primrec.map_decode_iffproof · cited by 0