exists_lt_of_lt_ciSup

∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompleteLinearOrder α] {b : α} [Nonempty ι] {f : ι → α},
  b < iSup f → ∃ i, b < f i

Indexed version of exists_lt_of_lt_csSup. When b < iSup f, there is an element i such that b < f i.

Defined in: Mathlib.Order.ConditionallyCompleteLattice.Indexed
Cited by: 4 results in Mathlib
Foundations: Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: ConditionallyCompleteLinearOrder Nonempty

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