Theorems · Theorem · order theory
csSup_pair
∀ {α : Type u_1} [inst : ConditionallyCompleteLattice α] (a b : α), sSup {a, b} = a ⊔ b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- ConditionallyCompleteLattice
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SupSet.sSupstatement · cited by 954
- ConditionallyCompleteLatticestatement and proof · cited by 364
- IsLUB.csSup_eqproof · cited by 19
- Set.insert_nonemptyproof · cited by 13
- isLUB_pairproof · cited by 5
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