Theorems · Theorem · logic and foundations
Primrec.computableIn
∀ {α : Type u_1} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable σ] {f : α → σ} {O : Set (ℕ →. ℕ)},
Primrec f → ComputableIn O f- Defined in
- Mathlib.Computability.RecursiveIn
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 89 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.
Cites7
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
- Primrecstatement and proof · cited by 141
- Primrec.to_compproof · cited by 40
- ComputableInstatement · cited by 11
- Computable.computableInproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- ComputableIn.constproof · cited by 0
- ComputableIn.fstproof · cited by 0
- ComputableIn.idproof · cited by 0
- ComputableIn.sndproof · cited by 0
- ComputableIn.succproof · cited by 0
- ComputableIn.sumInlproof · cited by 0
- ComputableIn.sumInrproof · cited by 0
- ComputableIn.unpairproof · cited by 0
- Primrec₂.computableIn₂proof · cited by 0