Theorems · Theorem · measure theory

MeasureTheory.Measure.toSphere_ne_zero

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E]
  (μ : MeasureTheory.Measure E) [BorelSpace E] [FiniteDimensional ℝ E] [μ.IsAddHaarMeasure] [Nontrivial E],
  μ.toSphere ≠ 0

Defined in: Mathlib.MeasureTheory.Constructions.HaarToSphere
Cited by: 0 results in Mathlib
Foundations: Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace MeasurableSpace BorelSpace FiniteDimensional MeasureTheory.Measure.IsAddHaarMeasure Nontrivial

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Setstatement · cited by 53,352
Realstatement and proof · cited by 25,697
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
Nontrivialstatement and proof · cited by 2,416
FiniteDimensionalstatement and proof · cited by 1,854
BorelSpacestatement and proof · cited by 1,602
Metric.spherestatement · cited by 371
MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255

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