Mathlib Map

Theorems · Theorem · logic and foundations

Computable.map_decode_iff

∀ {α : Type u_1} {β : Type u_2} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable σ]
  {f : α → β → σ}, (Computable₂ fun a n => Option.map (f a) (Encodable.decode n)) ↔ Computable₂ f
Defined in
Mathlib.Computability.Partrec
Cited by
1 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PrimcodablePrimcodablePrimcodable
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Computable.option_casesOn · cited by 2Computable.option_casesOnPrimcodable · cited by 325PrimcodableComputable · cited by 80ComputableEncodable.decode · cited by 77Encodable.decodeComputable₂ · cited by 32Computable₂Computable.option_some_iff · cited by 5Computable.option_some_iffComputable.bind_decode_iff · cited by 1Computable.bind_decode_iffComputable.map_decode_iffCITED BYCITES

Cites6

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.