Theorems · Definition · logic and foundations
Denumerable.ofEncodableOfInfinite
(α : Type u_3) → [Encodable α] → [Infinite α] → Denumerable α
An infinite encodable type is denumerable.
- Defined in
- Mathlib.Logic.Denumerable
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Set.rangeproof · cited by 4,705
- Infinitestatement and proof · cited by 352
- Encodablestatement and proof · cited by 140
- Encodable.encodeproof · cited by 118
- Denumerablestatement · cited by 28
- Denumerable.ofEquivproof · cited by 1
- Encodable.equivRangeEncodeproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- nonempty_denumerableproof · cited by 1
- CategoryTheory.CountableAB4Star.of_hasExactLimitsOfShape_nat_and_finiteproof · cited by 1
- CategoryTheory.CountableAB4.of_hasExactColimitsOfShape_nat_and_finiteproof · cited by 1