Theorems · Theorem · logic and foundations
Partrec.option_some_iff
∀ {α : Type u_1} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable σ] {f : α →. σ},
(Partrec fun a => Part.map some (f a)) ↔ Partrec f- Defined in
- Mathlib.Computability.Partrec
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- PFunstatement and proof · cited by 207
- Encodable.encodeproof · cited by 118
- Encodable.decodeproof · cited by 77
- Part.bindproof · cited by 70
- Part.mapstatement and proof · cited by 65
- Partrecstatement and proof · cited by 48
- Part.ofOptionproof · cited by 33
- Computable.compproof · cited by 31
- Computable.sndproof · cited by 21
- Computable.to₂proof · cited by 17
- Nat.ppredproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- Partrec.sumCasesOn_rightproof · cited by 3
- Partrec.sumCasesOnproof · cited by 0