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Theorems · Theorem · measure theory

Module.Basis.addHaar_self

∀ {ι : Type u_1} {E : Type u_3} [inst : Fintype ι] [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace ℝ E]
  [inst_3 : MeasurableSpace E] [inst_4 : BorelSpace E] (b : Module.Basis ι ℝ E), b.addHaar (parallelepiped ⇑b) = 1
Defined in
Mathlib.MeasureTheory.Measure.Haar.OfBasis
Cited by
3 results in Mathlib
Foundations
Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeNormedAddCommGroupNormedSpaceMeasurableSpaceBorelSpace
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Around this declaration

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Module.Basis.map_addHaar · cited by 5Basis.map_addHaarMeasureTheory.Measure.addHaar_parallelepiped · cited by 1Measure.addHaar_parallele…Module.Basis.prod_addHaar · cited by 0Basis.prod_addHaarDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetReal · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupMeasurableSpace · cited by 13106MeasurableSpaceNormedSpace · cited by 12499NormedSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealFintype · cited by 7736FintypeBorelSpace · cited by 1602BorelSpaceModule.Basis · cited by 1477Module.Basisparallelepiped · cited by 25parallelepipedModule.Basis.addHaar · cited by 15Basis.addHaarModule.Basis.addHaar_def · cited by 7Basis.addHaar_defMeasureTheory.Measure.addHaarMeasure_self · cited by 6Measure.addHaarMeasure_se…Basis.addHaar_selfCITED BYCITES

Cites15

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Cited by3

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