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Theorems · Theorem · logic and foundations

Encodable.encodek

∀ {α : Type u_1} [self : Encodable α] (a : α), Encodable.decode (Encodable.encode a) = some a

Invariant relationship between encoding and decoding

Defined in
Mathlib.Logic.Encodable.Basic
Cited by
27 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
Encodable
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Around this declaration

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

Primrec.comp · cited by 80Primrec.compPartrec.comp · cited by 12Partrec.compPartrec.bind · cited by 10Partrec.bindPrimrec.pair · cited by 9Primrec.pairEncodable.encode_injective · cited by 8Encodable.encode_injectiveDenumerable.ofNat_encode · cited by 8Denumerable.ofNat_encodePrimrec.option_casesOn · cited by 5Primrec.option_casesOnComputable.sumCasesOn · cited by 5Computable.sumCasesOnEncodable.mem_decode₂ · cited by 4Encodable.mem_decode₂Encodable.surjective_decode_getD · cited by 3Encodable.surjective_deco…Partrec.cond · cited by 3Partrec.condOrder.sequenceOfCofinals.encode_mem · cited by 3sequenceOfCofinals.encode…Partrec.nat_rec · cited by 3Partrec.nat_recPrimrec.nat_rec · cited by 3Primrec.nat_recNat.Primrec'.of_prim · cited by 3Primrec'.of_primEncodable · cited by 140EncodableEncodable.encode · cited by 118Encodable.encodeEncodable.decode · cited by 77Encodable.decodeEncodable.encodekCITED BYCITES

Cites3

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

Cited by27

Results whose statement or proof uses this declaration.