Theorems · Theorem · order theory
Set.subsingleton_iff_eq_empty_or_singleton
∀ {α : Type u} {s : Set α}, s.Subsingleton ↔ s = ∅ ∨ ∃ x, s = {x}- Defined in
- Mathlib.Data.Set.Subsingleton
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Subsingletonstatement and proof · cited by 276
- Set.Subsingleton.eq_empty_or_singletonproof · cited by 16
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