∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [inst_2 : Semiring Y]
  [inst_3 : IsTopologicalSemiring Y] (x y : LocallyConstant X Y),
  (↑LocallyConstant.toContinuousMapAddMonoidHom).toFun (x + y) =
    (↑LocallyConstant.toContinuousMapAddMonoidHom).toFun x + (↑LocallyConstant.toContinuousMapAddMonoidHom).toFun y