Theorems · Theorem · logic and foundations
Set.ncard_le_one_iff
∀ {α : Type u_1} {s : Set α},
autoParam s.Finite Set.ncard_le_one_iff._auto_1 → (s.ncard ≤ 1 ↔ ∀ {a b : α}, a ∈ s → b ∈ s → a = b)- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Finitestatement and proof · cited by 1,814
- Set.ncardstatement · cited by 344
- Set.ncard_le_oneproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Set.ncard_le_one_iff_eqproof · cited by 0