Theorems · Theorem · functional analysis

MeasureTheory.Lp.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 : CompleteSpace F] [inst_5 : MeasurableSpace E] [inst_6 : BorelSpace E]
  (μ : MeasureTheory.Measure E) [inst_7 : μ.HasTemperateGrowth] (p : ENNReal) [hp : Fact (1 ≤ p)],
  MeasureTheory.Lp.toTemperedDistributionCLM F μ p = MeasureTheory.Lp.toTemperedDistributionCLM F μ p

Defined in: Mathlib.Analysis.Distribution.TemperedDistribution
Cited by: 0 results in Mathlib
Foundations: Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace CompleteSpace MeasurableSpace BorelSpace MeasureTheory.Measure.HasTemperateGrowth Fact

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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
ENNRealstatement and proof · cited by 9,879
Set.Elemstatement · cited by 7,166
Set.ofPredstatement · cited by 6,101
Complexstatement and proof · cited by 5,565
ContinuousLinearMapstatement · cited by 5,352

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