Theorems · Theorem · logic and foundations
Set.encard_eq_top
∀ {α : Type u_1} {s : Set α}, s.Infinite → s.encard = ⊤Alias of the reverse direction of Set.encard_eq_top_iff.
- 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.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- Set.encardstatement · cited by 327
- Set.Infinitestatement · cited by 263
- Set.encard_eq_top_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.tsum_set_oneproof · cited by 1