Theorems · Theorem · measure theory
MeasureTheory.Measure.toSphere_eq_zero_iff
∀ {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],
μ.toSphere = 0 ↔ Subsingleton E- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- 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
- MeasureTheory.Measure.toSpherestatement · cited by 12
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