Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.Measure.haar.chaar_nonneg

∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G]
  (K₀ : TopologicalSpace.PositiveCompacts G) (K : TopologicalSpace.Compacts G),
  0 ≤ MeasureTheory.Measure.haar.chaar K₀ K
Defined in
Mathlib.MeasureTheory.Measure.Haar.Basic
Cited by
2 results in Mathlib
Foundations
Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupTopologicalSpaceIsTopologicalGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.Measure.haar.haarContent · cited by 8haar.haarContentMeasureTheory.Measure.haar.haarContent_self · cited by 1haar.haarContent_selfMeasureTheory.Measure.haar.haarContent_apply · cited by 0haar.haarContent_applyReal · cited by 25697RealTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeGroup · cited by 6238GroupSet.Icc · cited by 1702Set.IccIsTopologicalGroup · cited by 469IsTopologicalGroupSet.mem_univ · cited by 416Set.mem_univTopologicalSpace.Compacts · cited by 386TopologicalSpace.CompactsTopologicalSpace.PositiveCompacts · cited by 112TopologicalSpace.Positive…Set.mem_Icc · cited by 46Set.mem_IccMeasureTheory.Measure.haar.index · cited by 20haar.indexMeasureTheory.Measure.haar.chaar · cited by 12haar.chaarMeasureTheory.Measure.haar.chaar_mem_haarProduct · cited by 1haar.chaar_mem_haarProducthaar.chaar_nonnegCITED BYCITES

Cites13

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

Cited by3

Results whose statement or proof uses this declaration.