Theorems · Theorem · order theory
Set.singleton_ssubset_univ
∀ {α : Type u} [Nontrivial α] (a : α), {a} ⊂ Set.univ- Defined in
- Mathlib.Data.Set.Subsingleton
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nontrivial
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.univstatement · cited by 3,945
- Nontrivialstatement and proof · cited by 2,416
- Set.ssubset_univ_iffproof · cited by 4
- Set.singleton_ne_univproof · cited by 2
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