∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] {F : Type u_4}
  [inst_2 : FunLike F M N] [mc : AddMonoidHomClass F M N] (f f_1 : F),
  f = f_1 → ∀ (S S_1 : AddSubmonoid N), S = S_1 → AddSubmonoid.comap f S = AddSubmonoid.comap f_1 S_1