Theorems · Theorem · logic and foundations
Denumerable.decode_eq_ofNat
∀ (α : Type u_3) [inst : Denumerable α] (n : ℕ), Encodable.decode n = some (Denumerable.ofNat α n)
- Defined in
- Mathlib.Logic.Denumerable
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- Denumerable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Encodable.decodestatement · cited by 77
- Denumerablestatement and proof · cited by 28
- Denumerable.ofNatstatement · cited by 26
- Denumerable.decode_isSomeproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- Denumerable.sigma_ofNat_valproof · cited by 7
- Denumerable.ofEquiv_ofNatproof · cited by 7
- Denumerable.ofNat_of_decodeproof · cited by 4
- Primrec₂.natPairproof · cited by 4
- Primrec.dom_denumerableproof · cited by 2
- Nat.Partrec.Code.fixed_pointproof · cited by 1
- Nat.Partrec.Code.fixed_point₂proof · cited by 1
- Denumerable.list_ofNat_succproof · cited by 0
- Denumerable.denumerable_list_auxproof · cited by 0