Theorems · Theorem · logic and foundations
Computable.comp
∀ {α : Type u_1} {β : Type u_2} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable σ]
{f : β → σ} {g : α → β}, Computable f → Computable g → Computable fun a => f (g a)- Defined in
- Mathlib.Computability.Partrec
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Partrec.compproof · cited by 12
Cited by31
Results whose statement or proof uses this declaration.
- Computable₂.compproof · cited by 9
- ManyOneReducible.transproof · cited by 6
- Nat.Partrec.Code.eval_partproof · cited by 5
- Computable.option_some_iffproof · cited by 5
- Computable.sumCasesOnproof · cited by 5
- Computable.condproof · cited by 4
- Partrec.condproof · cited by 3
- Computable.nat_casesOnproof · cited by 3
- Partrec.sumCasesOn_rightproof · cited by 3
- OneOneReducible.transproof · cited by 3
- ComputablePred.riceproof · cited by 2
- Partrec.nat_casesOn_rightproof · cited by 2