Theorems · Definition · logic and foundations
ComputableIn
{α : Type u_5} → {σ : Type u_6} → [Primcodable α] → [Primcodable σ] → Set (ℕ →. ℕ) → (α → σ) → PropA total function is computable in O if its constant lift is recursive in O.
- Defined in
- Mathlib.Computability.RecursiveIn
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- PrimcodablePrimcodable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Primcodablestatement and proof · cited by 325
- PFunstatement and proof · cited by 207
- Part.someproof · cited by 111
- RecursiveInproof · cited by 15
Cited by12
Results whose statement or proof uses this declaration.
- Primrec.computableInstatement · cited by 9
- ComputableIn₂proof · cited by 2
- Computable.computableInstatement · cited by 1
- ComputableIn.conststatement · cited by 0
- ComputableIn.fststatement · cited by 0
- ComputableIn.idstatement · cited by 0
- ComputableIn.recursiveInstatement and proof · cited by 0
- ComputableIn.sndstatement · cited by 0
- ComputableIn.succstatement · cited by 0
- ComputableIn.sumInlstatement · cited by 0
- ComputableIn.sumInrstatement · cited by 0
- ComputableIn.unpairstatement · cited by 0