Theorems · Theorem · measure theory
MeasureTheory.Measure.haar.haarContent_outerMeasure_closure_pos
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G]
(K₀ : TopologicalSpace.PositiveCompacts G), 0 < (MeasureTheory.Measure.haar.haarContent K₀).outerMeasure (closure ↑K₀)- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement · cited by 9,879
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- closurestatement · cited by 1,254
- LT.lt.trans_leproof · cited by 678
- IsTopologicalGroupstatement and proof · cited by 469
- subset_closureproof · cited by 309
- MeasureTheory.OuterMeasurestatement · cited by 287
- TopologicalSpace.PositiveCompactsstatement and proof · cited by 112
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.haarMeasure_selfproof · cited by 4