csInf_lt_iff

∀ {α : Type u_1} [inst : ConditionallyCompleteLinearOrder α] {s : Set α} {a : α},
  BddBelow s → s.Nonempty → (sInf s < a ↔ ∃ b ∈ s, b < a)

Defined in: Mathlib.Order.ConditionallyCompleteLattice.Basic
Cited by: 4 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: ConditionallyCompleteLinearOrder

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