Theorems · Theorem · order theory
WithTop.sSup_of_not_bddAbove
∀ {α : Type u_1} [inst : LE α] [inst_1 : SupSet α] {s : Set (WithTop α)}, ¬BddAbove (WithTop.some ⁻¹' s) → sSup s = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Top.topstatement and proof · cited by 9,680
- Set.preimagestatement and proof · cited by 4,946
- WithTopstatement and proof · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
- SupSet.sSupstatement · cited by 954
- BddAbovestatement and proof · cited by 620
- SupSetstatement and proof · cited by 154
- WithTop.sSup_of_top_memproof · cited by 2
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