Mathlib Map

Theorems · Definition · logic and foundations

Denumerable.ofNat

(α : Type u_3) → [Denumerable α] → ℕ → α

Returns the n-th element of α indexed by the decoding.

Defined in
Mathlib.Logic.Denumerable
Cited by
26 results in Mathlib
Foundations
Depth 13 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.decode_eq_ofNat · cited by 9Denumerable.decode_eq_ofN…Denumerable.ofNat_encode · cited by 8Denumerable.ofNat_encodeDenumerable.sigma_ofNat_val · cited by 7Denumerable.sigma_ofNat_v…Denumerable.ofEquiv_ofNat · cited by 7Denumerable.ofEquiv_ofNatDenumerable.eqv · cited by 6Denumerable.eqvPrimrec.ofNat · cited by 6Primrec.ofNatDenumerable.ofNat_of_decode · cited by 4Denumerable.ofNat_of_deco…PeriodPair.summable_weierstrassPExceptSummand · cited by 3PeriodPair.summable_weier…Denumerable.encode_ofNat · cited by 3Denumerable.encode_ofNatComputable.ofNat · cited by 3Computable.ofNatNat.Partrec.Code.primrec_evaln · cited by 3Code.primrec_evalnPrimrec.ofNat_iff · cited by 3Primrec.ofNat_iffPrimrec₂.ofNat_iff · cited by 3Primrec₂.ofNat_iffPrimrec.dom_denumerable · cited by 2Primrec.dom_denumerableNat.Partrec'.of_part · cited by 2Partrec'.of_partEncodable.decode · cited by 77Encodable.decodeDenumerable · cited by 28DenumerableDenumerable.decode_isSome · cited by 1Denumerable.decode_isSomeDenumerable.ofNatCITED 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.