∀ {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] {S : AddSubmonoid N} {f : F} {x : M},
  (x ∈ AddSubmonoid.comap f S) = (f x ∈ S)