∀ {X Y S : AlgebraicGeometry.Scheme} (sX : X ⟶ S) (sY : Y ⟶ S) [inst : AlgebraicGeometry.IsIntegral X]
  [inst_1 : AlgebraicGeometry.LocallyOfFiniteType sY]
  (f :
    { f //
      CategoryTheory.CategoryStruct.comp f sY =
        CategoryTheory.CategoryStruct.comp (X.fromSpecStalk (genericPoint ↥X)) sX }),
  ((AlgebraicGeometry.Scheme.PartialMap.ofFromSpecStalk sX sY ↑f ⋯).compHom sY).toRationalMap =
    (AlgebraicGeometry.Scheme.Hom.toPartialMap sX).toRationalMap