Theorems · Theorem · order theory
isLUB_pair
∀ {γ : Type u_3} [inst : SemilatticeSup γ] {a b : γ}, IsLUB {a, b} (a ⊔ b)- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- SemilatticeSup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SemilatticeSupstatement and proof · cited by 785
- IsLUBstatement · cited by 280
- isLUB_singletonproof · cited by 10
- IsLUB.insertproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- GaloisConnection.l_supproof · cited by 81
- sSup_pairproof · cited by 11
- CountableSupClosed.supClosedproof · cited by 3
- LeftOrdContinuous.map_supproof · cited by 1
- csSup_pairproof · cited by 0