∀ {H : Type u_2} {M : Type u_1} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M] [inst_2 : ChartedSpace H M]
  (s : TopologicalSpace.Opens M) (x : ↥s),
  x ∈ (s.openPartialHomeomorphSubtypeCoe ⋯).symm.target ∧
    x ∈ ↑(s.openPartialHomeomorphSubtypeCoe ⋯).symm.symm ⁻¹' (chartAt H ↑x).source