Mathlib Map

Theorems · Theorem · logic and foundations

Denumerable.decode_inv

∀ {α : Type u_3} [self : Denumerable α] (n : ℕ), ∃ a ∈ Encodable.decode n, Encodable.encode a = n

decode and encode are inverses.

Defined in
Mathlib.Logic.Denumerable
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
Denumerable
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Denumerable.encode_ofNat · cited by 3Denumerable.encode_ofNatDenumerable.decode_isSome · cited by 1Denumerable.decode_isSomeEncodable.encode · cited by 118Encodable.encodeEncodable.decode · cited by 77Encodable.decodeDenumerable · cited by 28DenumerableDenumerable.decode_invCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.