∀ {ι : Sort u_1} {R : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : TopologicalSpace M] [inst_3 : Module R M] {x : M} {f : ι → ClosedSubmodule R M},
  (x ∈ ⨅ i, f i) = ∀ (i : ι), x ∈ f i