Theorems · Theorem · logic and foundations
recursiveIn_empty_iff
∀ {α : Type u_1} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable σ] {f : α →. σ},
RecursiveIn ∅ f ↔ Partrec f- Defined in
- Mathlib.Computability.RecursiveIn
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
- Assumes
- PrimcodablePrimcodable
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Primcodablestatement and proof · cited by 325
- PFunstatement and proof · cited by 207
- Partrecstatement and proof · cited by 48
- RecursiveInstatement and proof · cited by 15
- Partrec.recursiveInproof · cited by 6
- Set.forall_mem_emptyproof · cited by 3
- RecursiveIn.partrec_of_oracleproof · cited by 2
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