∀ {X : AlgebraicGeometry.PresheafedSpace CommRingCat} (Y : AlgebraicGeometry.LocallyRingedSpace)
  (f f_1 : X ⟶ Y.toPresheafedSpace) (e_f : f = f_1) [H : AlgebraicGeometry.PresheafedSpace.IsOpenImmersion f],
  AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toLocallyRingedSpace Y f =
    AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toLocallyRingedSpace Y f_1