Theorems · Theorem · order theory
WithBot.sSup_empty
∀ {α : Type u_1} [inst : LE α] [inst_1 : SupSet α], sSup ∅ = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 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 · cited by 53,352
- Bot.botstatement and proof · cited by 4,720
- WithBotstatement and proof · cited by 1,498
- SupSet.sSupstatement · cited by 954
- BddAboveproof · cited by 620
- SupSetstatement and proof · cited by 154
- IsEmpty.forall_iffproof · cited by 39
- Set.mem_empty_iff_falseproof · cited by 32
- Set.subset_singleton_iffproof · cited by 12
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