IsLUB.exists_between

∀ {α : Type u_1} [inst : LinearOrder α] {s : Set α} {a b : α}, IsLUB s a → b < a → ∃ c ∈ s, b < c ∧ c ≤ a

Defined in: Mathlib.Order.Bounds.Basic
Cited by: 8 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: LinearOrder

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