Theorems · Theorem · measure theory
Convex.nullMeasurableSet
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E] [BorelSpace E]
[FiniteDimensional ℝ E] (μ : MeasureTheory.Measure E) [μ.IsAddHaarMeasure] {s : Set E},
Convex ℝ s → MeasureTheory.NullMeasurableSet s μA convex set in a finite-dimensional real vector space is null measurable with respect to an additive Haar measure on this space.
- Defined in
- Mathlib.Analysis.Convex.Measure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 260 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · 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
- FiniteDimensionalstatement and proof · cited by 1,854
- BorelSpacestatement and proof · cited by 1,602
- Convexstatement and proof · cited by 551
- MeasureTheory.NullMeasurableSetstatement · cited by 337
- MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255
- nullMeasurableSet_of_null_frontierproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.