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Theorems · Theorem · order theory

ciInf_mem

∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompleteLinearOrder α] [WellFoundedLT α] [Nonempty ι] (f : ι → α),
  iInf f ∈ Set.range f
Defined in
Mathlib.Order.ConditionallyCompleteLattice.Indexed
Cited by
5 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ConditionallyCompleteLinearOrderWellFoundedLTNonempty

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Cites7

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Cited by5

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