Theorems · Definition · global analysis

SmoothBumpFunction.toContDiffBump

{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} → SmoothBumpFunction I c → ContDiffBump (↑(extChartAt I c) c)

Defined in

Mathlib.Geometry.Manifold.BumpFunction

Cited by

27 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace