∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} {l : ℕ} {φ ψ : L.BoundedFormula α l}
  {v : α → M} {xs : Fin l → M}, (φ.imp ψ).Realize v xs = (φ.Realize v xs → ψ.Realize v xs)