Theorems · Theorem · logic and foundations
Set.ssubset_univ_iff
∀ {α : Type u} {s : Set α}, s ⊂ Set.univ ↔ s ≠ Set.univ- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.univstatement · cited by 3,945
- lt_top_iff_ne_topproof · cited by 95
Cited by4
Results whose statement or proof uses this declaration.
- Infinite.of_injective_to_setproof · cited by 1
- Set.ncard_lt_cardproof · cited by 1
- Set.Finite.encard_lt_cardproof · cited by 0
- Set.singleton_ssubset_univproof · cited by 0