Theorems · Theorem · logic and foundations
Set.Countable.prod
∀ {α : Type u} {β : Type v} {s : Set α} {t : Set β}, s.Countable → t.Countable → (s ×ˢ t).Countable- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemproof · cited by 7,166
- Equiv.symmproof · cited by 3,681
- SProd.sprodstatement · cited by 1,750
- Countableproof · cited by 633
- Set.Countablestatement and proof · cited by 545
- Set.Countable.to_subtypeproof · cited by 33
- Equiv.Set.prodproof · cited by 9
- Countable.of_equivproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- IsGδ.unionproof · cited by 2
- Set.Countable.image2proof · cited by 1
- TopologicalSpace.IsSeparable.prodproof · cited by 1
- TopologicalSpace.exists_isInducing_l_inftyproof · cited by 1
- countableSupClosure_prodproof · cited by 0
- countableInfClosure_prodproof · cited by 0