∀ {T : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} T] {P Q : CategoryTheory.MorphismProperty T} {X : T}
  [inst_1 : Q.IsMultiplicative] {P' Q' : CategoryTheory.MorphismProperty T} [inst_2 : Q'.IsMultiplicative]
  (hPP' : P ≤ P') (hQQ' : Q ≤ Q') (Y : P.Over Q X),
  ((CategoryTheory.MorphismProperty.Over.changeProp X hPP' hQQ').obj Y).hom = Y.hom