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Theorems · Theorem · logic and foundations

Computable.encode_iff

∀ {α : Type u_1} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable σ] {f : α → σ},
  (Computable fun a => Encodable.encode (f a)) ↔ Computable f
Defined in
Mathlib.Computability.Partrec
Cited by
6 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
PrimcodablePrimcodable
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Computable.sumCasesOn · cited by 5Computable.sumCasesOnComputable.option_some_iff · cited by 5Computable.option_some_iffComputable.cond · cited by 4Computable.condComputable.option_casesOn · cited by 2Computable.option_casesOnPartrec.optionCasesOn_right · cited by 1Partrec.optionCasesOn_rig…Nat.Partrec.Code.computable_recOn · cited by 0Code.computable_recOnPrimcodable · cited by 325PrimcodableEncodable.encode · cited by 118Encodable.encodeComputable · cited by 80ComputableComputable.encode_iffCITED BYCITES

Cites3

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

Cited by6

Results whose statement or proof uses this declaration.