Theorems · Theorem · logic and foundations
Primrec.option_some_iff
∀ {α : Type u_1} {σ : Type u_3} [inst : Primcodable α] [inst_1 : Primcodable σ] {f : α → σ},
(Primrec fun a => some (f a)) ↔ Primrec f- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 74 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Primrecstatement and proof · cited by 141
- Primrec.compproof · cited by 80
- Primrec.encode_iffproof · cited by 18
- Primrec.option_someproof · cited by 7
- Primrec.predproof · cited by 4
Cited by11
Results whose statement or proof uses this declaration.
- Primrec.vector_headproof · cited by 6
- Primrec.vector_getproof · cited by 5
- Primrec₂.option_some_iffproof · cited by 2
- Primrec.listFilterproof · cited by 2
- Primrec.list_head?proof · cited by 2
- Primrec.nat_omega_rec'proof · cited by 1
- Primrec.sumCasesOnproof · cited by 1
- Primrec.option_guardproof · cited by 1
- Nat.Partrec.Code.primrec_recOn'proof · cited by 1
- PrimrecPred.listFilter_listRangeproof · cited by 0
- Primrec.dom_finiteproof · cited by 0