Theorems · Theorem · logic and foundations
Set.ncard_le_one_iff_eq
∀ {α : Type u_1} {s : Set α}, autoParam s.Finite Set.ncard_le_one_iff_eq._auto_1 → (s.ncard ≤ 1 ↔ s = ∅ ∨ ∃ a, s = {a})- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 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
- Set.Nonemptyproof · cited by 2,627
- Set.Finitestatement and proof · cited by 1,814
- Set.ncardstatement · cited by 344
- Set.eq_empty_or_nonemptyproof · cited by 248
- Set.singleton_subset_iffproof · cited by 206
- LE.le.antisymm'proof · cited by 104
- Set.ncard_emptyproof · cited by 14
- Set.ncard_le_one_iffproof · cited by 1
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