Theorems · Theorem · Lie groups

MeasureTheory.Measure.modularCharacterFun_map_mul

∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : Group G] [inst_2 : IsTopologicalGroup G]
  [inst_3 : LocallyCompactSpace G] (g h : G),
  MeasureTheory.Measure.modularCharacterFun (g * h) =
    MeasureTheory.Measure.modularCharacterFun g * MeasureTheory.Measure.modularCharacterFun h

Defined in: Mathlib.MeasureTheory.Group.ModularCharacter
Cited by: 0 results in Mathlib
Foundations: Depth 277 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace Group IsTopologicalGroup LocallyCompactSpace

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Cites19

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setproof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
MeasureTheory.Measureproof · cited by 10,939
Groupstatement and proof · cited by 6,238
NNRealstatement and proof · cited by 4,310
MeasurableSetproof · cited by 3,075
mul_commproof · cited by 2,262
Measurableproof · cited by 1,499
MeasureTheory.Measure.mapproof · cited by 858
IsTopologicalGroupstatement and proof · cited by 469
LocallyCompactSpacestatement and proof · cited by 324
MeasureTheory.Measure.map_mapproof · cited by 67

Cited by1

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MeasureTheory.Measure.modularCharacterproof · cited by 0