∀ {E : Type uE} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {H : Type uH} [inst_2 : TopologicalSpace H]
  {I : ModelWithCorners ℝ E H} {M : Type uM} [inst_3 : TopologicalSpace M] [inst_4 : ChartedSpace H M]
  [inst_5 : FiniteDimensional ℝ E] {c : M} (f : SmoothBumpFunction I c),
  ↑f = (chartAt H c).source.indicator (↑f.toContDiffBump ∘ ↑(extChartAt I c))