Theorems · Theorem · logic and foundations
Computable.ofOption
∀ {α : Type u_1} {β : Type u_2} [inst : Primcodable α] [inst_1 : Primcodable β] {f : α → Option β},
Computable f → Partrec fun a => ↑(f a)- Defined in
- Mathlib.Computability.Partrec
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 88 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
- Encodable.encodeproof · cited by 118
- Part.someproof · cited by 111
- Computablestatement and proof · cited by 80
- Encodable.decodeproof · cited by 77
- Part.bindproof · cited by 70
- Part.mapproof · cited by 65
- Part.bind_someproof · cited by 49
- Partrecstatement · cited by 48
- Part.noneproof · cited by 36
- Part.ofOptionstatement and proof · cited by 33
- Part.map_someproof · cited by 27
Cited by7
Results whose statement or proof uses this declaration.
- Partrec.condproof · cited by 3
- Decidable.Partrec.const'proof · cited by 2
- Partrec.rfindOptproof · cited by 2
- Partrec.bind_decode₂_iffproof · cited by 1
- Partrec.optionCasesOn_rightproof · cited by 1
- Computable.bind_decode_iffproof · cited by 1
- Partrec.merge'proof · cited by 1