csSup_mem_of_not_isSuccLimit

∀ {α : Type u_2} [inst : ConditionallyCompleteLinearOrder α] {s : Set α},
  s.Nonempty → BddAbove s → ¬Order.IsSuccLimit (sSup s) → sSup s ∈ s

Defined in: Mathlib.Order.SuccPred.CompleteLinearOrder
Cited by: 3 results in Mathlib
Foundations: Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: ConditionallyCompleteLinearOrder

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