∀ (R : Type u_3) (M : Type u_2) (N : Type u_1) [inst : Semiring R] [inst_1 : TopologicalSpace M]
  [inst_2 : AddCommMonoid M] [inst_3 : TopologicalSpace N] [inst_4 : AddCommMonoid N] [inst_5 : Unique N]
  [inst_6 : Module R M] [inst_7 : Module R N], Continuous (↑LinearEquiv.uniqueProd).toFun