∀ {M : Type u_1} {N : Type u_2} [inst : Add M] [inst_1 : Add N] {f : M →ₙ+ N},
  Function.Surjective ⇑f →
    ∀ (S T : AddSubsemigroup N), AddSubsemigroup.map f (AddSubsemigroup.comap f S ⊓ AddSubsemigroup.comap f T) = S ⊓ T