Theorems · Theorem · logic and foundations
Partrec.optionCasesOn_right
∀ {α : Type u_1} {β : Type u_2} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable σ]
{o : α → Option β} {f : α → σ} {g : α → β →. σ},
Computable o → Computable f → Partrec₂ g → Partrec fun a => Option.casesOn (o a) (Part.some (f a)) (g a)- Defined in
- Mathlib.Computability.Partrec
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Partstatement · cited by 325
- PFunstatement and proof · cited by 207
- Encodable.encodeproof · cited by 118
- Part.somestatement and proof · cited by 111
- Computablestatement and proof · cited by 80
- Encodable.decodeproof · cited by 77
- Part.bindproof · cited by 70
- Part.bind_someproof · cited by 49
- Partrecstatement and proof · cited by 48
- Part.ofOptionproof · cited by 33
- Computable.compproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- Partrec.sumCasesOn_rightproof · cited by 3