Mathlib Map

Theorems · Theorem · logic and foundations

Denumerable.ofNat_of_decode

∀ {α : Type u_1} [inst : Denumerable α] {n : ℕ} {b : α}, Encodable.decode n = some b → Denumerable.ofNat α n = b
Defined in
Mathlib.Logic.Denumerable
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
Denumerable
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Denumerable.ofNat_encode · cited by 8Denumerable.ofNat_encodeDenumerable.ofEquiv_ofNat · cited by 7Denumerable.ofEquiv_ofNatDenumerable.encode_ofNat · cited by 3Denumerable.encode_ofNatDenumerable.list_ofNat_succ · cited by 0Denumerable.list_ofNat_su…Encodable.decode · cited by 77Encodable.decodeDenumerable · cited by 28DenumerableDenumerable.ofNat · cited by 26Denumerable.ofNatDenumerable.decode_eq_ofNat · cited by 9Denumerable.decode_eq_ofN…Denumerable.ofNat_of_decodeCITED BYCITES

Cites4

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

Cited by4

Results whose statement or proof uses this declaration.