Theorems · Theorem · order theory
IsGreatest.csSup_mem
∀ {α : Type u_1} [inst : ConditionallyCompletePartialOrderSup α] {s : Set α} {a : α}, IsGreatest s a → sSup s ∈ s- Cited by
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- Foundations
- Depth 10 from the axioms · uses no axioms
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Cites5
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
- SupSet.sSupstatement · cited by 954
- IsGreateststatement and proof · cited by 112
- ConditionallyCompletePartialOrderSupstatement and proof · cited by 52
- IsGreatest.csSup_eqproof · cited by 9
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