Theorems · Theorem · logic and foundations
Computable.option_casesOn
∀ {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 → Computable₂ g → Computable fun a => Option.casesOn (o a) (f a) (g a)- Defined in
- Mathlib.Computability.Partrec
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Computablestatement and proof · cited by 80
- Computable₂statement and proof · cited by 32
- Encodable.encodekproof · cited by 27
- Computable.of_eqproof · cited by 9
- Computable.encode_iffproof · cited by 6
- Computable.option_some_iffproof · cited by 5
- Computable.nat_casesOnproof · cited by 3
- Computable.map_decode_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Computable.option_bindproof · cited by 3
- Computable.option_getDproof · cited by 1