Theorems · Theorem · logic and foundations
Set.infinite_iff_infinite_of_encard_eq_encard
∀ {α : Type u_1} {s t : Set α}, s.encard = t.encard → (s.Infinite ↔ t.Infinite)- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- Set.encardstatement and proof · cited by 327
- Set.Infinitestatement and proof · cited by 263
- Set.encard_eq_top_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.IsBase.sdiff_infinite_commproof · cited by 1