Theorems · Theorem · functional analysis

TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq

∀ (𝕜 : Type u_2) {F : Type u_4} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup F] [inst_2 : NormedSpace ℂ F]
  [inst_3 : NormedSpace 𝕜 F] (f : SchwartzMap ℝ F),
  (TemperedDistribution.derivCLM F) ((SchwartzMap.toTemperedDistributionCLM ℝ F MeasureTheory.volume) f) =
    (SchwartzMap.toTemperedDistributionCLM ℝ F MeasureTheory.volume) ((SchwartzMap.derivCLM 𝕜 F) f)

Defined in: Mathlib.Analysis.Distribution.TemperedDistribution
Cited by: 0 results in Mathlib
Foundations: Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: RCLike NormedAddCommGroup NormedSpace NormedSpace

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RCLikestatement and proof · cited by 2,829

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