∀ {M : Type u_4} {G : Type u_7} [inst : AddGroup G] [inst_1 : AddZeroClass M] (f f_1 : M → G) (e_f : f = f_1)
  (map_add : ∀ (a b : M), f (a + b) = f a + f b), AddMonoidHom.mk' f map_add = AddMonoidHom.mk' f_1 ⋯