∀ {ι : Sort u_1} {α : Type u_2} {M : Type u_3} [inst : CompleteLattice M] [inst_1 : Zero M] [Nonempty ι],
  ⊥ = 0 → ∀ (s : ι → Set α) (f : α → M) (x : α), (⋂ i, s i).indicator f x = ⨅ i, (s i).indicator f x