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Theorems · Theorem · global analysis

ExistsContDiffBumpBase.w.congr_simp

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : FiniteDimensional ℝ E]
  [inst_3 : MeasurableSpace E] [inst_4 : BorelSpace E] (D D_1 : ℝ),
  D = D_1 → ∀ (x x_1 : E), x = x_1 → ExistsContDiffBumpBase.w D x = ExistsContDiffBumpBase.w D_1 x_1
Defined in
Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension
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Foundations
Depth 251 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpaceFiniteDimensionalMeasurableSpaceBorelSpace
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Real · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupMeasurableSpace · cited by 13106MeasurableSpaceNormedSpace · cited by 12499NormedSpaceFiniteDimensional · cited by 1854FiniteDimensionalBorelSpace · cited by 1602BorelSpaceExistsContDiffBumpBase.w · cited by 11ExistsContDiffBumpBase.ww.congr_simpCITED BYCITES

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