Mathlib Map

Theorems · Theorem · Lie groups

MeasureTheory.Measure.modularCharacterFun_map_one

∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : Group G] [inst_2 : IsTopologicalGroup G]
  [inst_3 : LocallyCompactSpace G], MeasureTheory.Measure.modularCharacterFun 1 = 1
Defined in
Mathlib.MeasureTheory.Group.ModularCharacter
Cited by
0 results in Mathlib
Foundations
Depth 275 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceGroupIsTopologicalGroupLocallyCompactSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.Measure.modularCharacter · cited by 0Measure.modularCharacterTopologicalSpace · cited by 24529TopologicalSpaceGroup · cited by 6238GroupNNReal · cited by 4310NNRealmul_one · cited by 3885mul_oneMeasureTheory.Measure.map · cited by 858Measure.mapIsTopologicalGroup · cited by 469IsTopologicalGroupLocallyCompactSpace · cited by 324LocallyCompactSpaceMeasureTheory.Measure.map_id' · cited by 12Measure.map_id'MeasureTheory.Measure.haar · cited by 11Measure.haarMeasureTheory.Measure.modularCharacterFun · cited by 5Measure.modularCharacterF…MeasureTheory.Measure.haarScalarFactor.congr_simp · cited by 5haarScalarFactor.congr_si…MeasureTheory.Measure.haarScalarFactor_self · cited by 3Measure.haarScalarFactor_…Measure.modularCharacterFun_m…CITED BYCITES

Cites12

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

Cited by1

Results whose statement or proof uses this declaration.