∀ {X : Type u_1} {Y : Type u_3} {Z : Type u_5} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] {e e' : OpenPartialHomeomorph X Y} {f f' : OpenPartialHomeomorph Y Z},
  e ≈ e' → f ≈ f' → e.trans f ≈ e'.trans f'