∀ {E : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {Ω : TopologicalSpace.Opens E} {F : Type u_4}
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] {n : ℕ∞} {K : TopologicalSpace.Compacts E}
  (K_sub_Ω : ↑K ⊆ ↑Ω) (f f_1 : ContDiffMapSupportedIn E F n K),
  f = f_1 → TestFunction.ofSupportedIn K_sub_Ω f = TestFunction.ofSupportedIn K_sub_Ω f_1