∀ {α : Type u} {β : Type v} {l : α → β} {u : β → α} [inst : CompleteLattice α] [inst_1 : CompleteLattice β]
  (gi : GaloisInsertion l u) {ι : Sort x} (f : ι → α), (∀ (i : ι), u (l (f i)) = f i) → l (⨅ i, f i) = ⨅ i, l (f i)