Theorems · Theorem · order theory
sSup_univ
∀ {α : Type u_1} [inst : CompleteLattice α], sSup Set.univ = ⊤- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Set.univstatement · cited by 3,945
- CompleteLatticestatement and proof · cited by 1,048
- SupSet.sSupstatement · cited by 954
- IsLUB.sSup_eqproof · cited by 17
- isLUB_univproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Filter.bliminf_falseproof · cited by 0