Theorems · Theorem · functional analysis

SchwartzMap.toTemperedDistributionCLM.congr_simp

∀ (E : Type u_3) (F : Type u_4) [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
  [inst_3 : NormedSpace ℂ F] [inst_4 : MeasurableSpace E] [inst_5 : BorelSpace E] [inst_6 : SecondCountableTopology E]
  (μ μ_1 : MeasureTheory.Measure E) (e_μ : μ = μ_1) [hμ : μ.HasTemperateGrowth],
  SchwartzMap.toTemperedDistributionCLM E F μ = SchwartzMap.toTemperedDistributionCLM E F μ_1

Defined in: Mathlib.Analysis.Distribution.TemperedDistribution
Cited by: 0 results in Mathlib
Foundations: Depth 259 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace MeasurableSpace BorelSpace SecondCountableTopology MeasureTheory.Measure.HasTemperateGrowth

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Setstatement · cited by 53,352
Realstatement and proof · cited by 25,697
RingHom.idstatement · cited by 18,349
NormedAddCommGroupstatement and proof · cited by 15,752
MeasurableSpacestatement and proof · cited by 13,106
NormedSpacestatement and proof · cited by 12,499
MeasureTheory.Measurestatement and proof · cited by 10,939
Set.Elemstatement · cited by 7,166
Set.ofPredstatement · cited by 6,101
Complexstatement and proof · cited by 5,565
ContinuousLinearMapstatement · cited by 5,352
Finitestatement · cited by 3,029

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