Theorems · Theorem · logic and foundations
Set.Finite.encard_lt_card
∀ {α : Type u_1} {s : Set α}, s.Finite → s ≠ Set.univ → s.encard < ENat.card α- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- ENatstatement · cited by 4,985
- Set.univstatement and proof · cited by 3,945
- Set.Finitestatement and proof · cited by 1,814
- Set.encardstatement · cited by 327
- ENat.cardstatement · cited by 89
- Set.encard_univproof · cited by 15
- Set.Finite.encard_lt_encardproof · cited by 4
- Set.ssubset_univ_iffproof · cited by 4
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