∀ {M : Type u_1} {α : Type u_2} [inst : Monoid M] [inst_1 : TopologicalSpace α] [inst_2 : MulAction M α],
  (∀ {U V : Set α}, IsOpen U → U.Nonempty → IsOpen V → V.Nonempty → ∃ m, (m • U ∩ V).Nonempty) →
    MulAction.IsTopologicallyTransitive M α