Theorems · Theorem · order theory
isLUB_univ
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : OrderTop α], IsLUB Set.univ ⊤- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Preorderstatement and proof · cited by 7,952
- Set.univstatement · cited by 3,945
- OrderTopstatement and proof · cited by 493
- IsLUBstatement · cited by 280
- IsGreatest.isLUBproof · cited by 25
- isGreatest_univproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- sSup_univproof · cited by 1