Theorems · Definition · logic and foundations
Denumerable.pair
{α : Type u_1} → [Denumerable α] → α × α ≃ αIf α is denumerable, then α × α and α are equivalent.
- Defined in
- Mathlib.Logic.Denumerable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Denumerable
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Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Denumerablestatement and proof · cited by 28
- Denumerable.equiv₂proof · cited by 1
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