∀ (R : Type u_1) (M : Type u_2) [inst : TopologicalSpace R] [inst_1 : TopologicalSpace M] [inst_2 : CommSemiring R]
  [inst_3 : AddCommMonoid M] [inst_4 : Module R M] (x y : R × M),
  (↑(ContinuousLinearMap.snd R R M)).toFun (x + y) =
    (↑(ContinuousLinearMap.snd R R M)).toFun x + (↑(ContinuousLinearMap.snd R R M)).toFun y