{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] →
                  {c : M} →
                    (rIn rOut : ℝ) →
                      0 < rIn →
                        rIn < rOut →
                          Metric.closedBall (↑(extChartAt I c) c) rOut ∩ Set.range ↑I ⊆ (extChartAt I c).target →
                            SmoothBumpFunction I c