∀ {𝕜 : Type u_3} {E : Type u_4} {F : Type u_5} {H : Type u_2} {G : Type u_6} [inst : NontriviallyNormedField 𝕜]
  [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
  [inst_5 : TopologicalSpace H] [inst_6 : TopologicalSpace G] {I : ModelWithCorners 𝕜 E H} {J : ModelWithCorners 𝕜 F G}
  {M : Type u_1} {N : Type u_7} [inst_7 : TopologicalSpace M] [inst_8 : ChartedSpace H M] [inst_9 : TopologicalSpace N]
  [inst_10 : ChartedSpace G N] {n : WithTop ℕ∞} {f : M → N} {x : M}
  {P : (M → N) → OpenPartialHomeomorph M H → OpenPartialHomeomorph N G → Prop}
  (hf : Manifold.LiftSourceTargetPropertyAt I J n f x P) (s : Set M), IsOpen s → (hf.domChart.restr s).source ⊆ s