Theorems · Theorem · order theory
Order.IsSuccLimit.sSup_Iio
∀ {α : Type u_2} [inst : ConditionallyCompleteLinearOrderBot α] {x : α}, Order.IsSuccLimit x → sSup (Set.Iio x) = x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Iiostatement · cited by 1,166
- SupSet.sSupstatement · cited by 954
- Order.IsSuccLimitstatement and proof · cited by 255
- ConditionallyCompleteLinearOrderBotstatement and proof · cited by 84
- Order.IsSuccLimit.isSuccPrelimitproof · cited by 37
- Order.IsSuccPrelimit.sSup_Iioproof · cited by 4
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