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Theorems · Theorem · logic and foundations

Denumerable.encode_ofNat

∀ {α : Type u_1} [inst : Denumerable α] (n : ℕ), Encodable.encode (Denumerable.ofNat α n) = n
Defined in
Mathlib.Logic.Denumerable
Cited by
3 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
Denumerable
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Around this declaration

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

Denumerable.eqv · cited by 6Denumerable.eqvPeriodPair.summable_weierstrassPExceptSummand · cited by 3PeriodPair.summable_weier…Nat.Partrec.Code.primrec_evaln · cited by 3Code.primrec_evalnDenumerable.denumerable_list_aux · cited by 0Denumerable.denumerable_l…Encodable.encode · cited by 118Encodable.encodeEncodable.decode · cited by 77Encodable.decodeDenumerable · cited by 28DenumerableDenumerable.ofNat · cited by 26Denumerable.ofNatDenumerable.ofNat_of_decode · cited by 4Denumerable.ofNat_of_deco…Denumerable.decode_inv · cited by 2Denumerable.decode_invDenumerable.encode_ofNatCITED BYCITES

Cites6

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.