∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} [AlgebraicGeometry.IsZariskiLocalAtTarget P]
  {X Y X' Y' : AlgebraicGeometry.Scheme} (f : X ⟶ X') (g : Y ⟶ Y'), P f → P g → P (CategoryTheory.Limits.coprod.map f g)