∀ {R : Type u_2} {N : Type u_1} [inst : Semiring R] [inst_1 : AddCommMonoid N] [inst_2 : TopologicalSpace N]
  [inst_3 : Module R N] (s : Set (ClosedSubmodule R N)), ∀ a ∈ s, ∀ x ∈ a, x ∈ closure ↑(⨆ s_1 ∈ s, ↑s_1).toAddSubmonoid