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Theorems · Theorem · functional analysis

SchwartzMap.integralCLM.congr_simp

∀ (𝕜 : Type u_2) {D : Type u_4} {V : Type u_9} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup D]
  [inst_2 : NormedSpace ℝ D] [inst_3 : NormedAddCommGroup V] [inst_4 : NormedSpace ℝ V] [inst_5 : NormedSpace 𝕜 V]
  [inst_6 : MeasurableSpace D] (μ μ_1 : MeasureTheory.Measure D) (e_μ : μ = μ_1) [hμ : μ.HasTemperateGrowth]
  [inst_7 : BorelSpace D] [inst_8 : SecondCountableTopology D],
  SchwartzMap.integralCLM 𝕜 μ = SchwartzMap.integralCLM 𝕜 μ_1
Defined in
Mathlib.Analysis.Distribution.TemperedDistribution
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Foundations
Depth 257 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLikeNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceNormedSpaceMeasurableSpaceMeasureTheory.Measure.HasTemperateGrowthBorelSpaceSecondCountableTopology

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