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Theorems · Theorem · logic and foundations

RecursiveIn.iff_nat

∀ {f : ℕ →. ℕ} {O : Set (ℕ →. ℕ)}, RecursiveIn O f ↔ Nat.RecursiveIn O f
Defined in
Mathlib.Computability.RecursiveIn
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RecursiveIn.oracle · cited by 2RecursiveIn.oracleSet · cited by 53352SetPFun · cited by 207PFunPart.some · cited by 111Part.somePart.bind · cited by 70Part.bindPart.bind_some · cited by 49Part.bind_someRecursiveIn · cited by 15RecursiveInNat.RecursiveIn · cited by 8Nat.RecursiveInPart.map_id' · cited by 8Part.map_id'RecursiveIn.iff_natCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.