{P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} →
  (S : AlgebraicGeometry.Scheme) →
    [inst : P.ContainsIdentities] →
      [inst_1 : P.RespectsIso] →
        {X Y : AlgebraicGeometry.Scheme} →
          (f : X ⟶ Y) →
            [X.Over S] →
              [inst_3 : CategoryTheory.IsIso f] →
                (x : (AlgebraicGeometry.Scheme.coverOfIsIso f).I₀) →
                  ((AlgebraicGeometry.Scheme.coverOfIsIso f).X x).Over S