Theorems · Theorem · measure theory
MeasureTheory.Measure.haar.nonempty_iInter_clPrehaar
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G]
(K₀ : TopologicalSpace.PositiveCompacts G),
(MeasureTheory.Measure.haar.haarProduct ↑K₀ ∩ ⋂ V, MeasureTheory.Measure.haar.clPrehaar (↑K₀) V).Nonempty- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetproof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Set.Nonemptystatement · cited by 2,627
- IsOpenproof · cited by 2,400
- TopologicalSpace.Opensproof · cited by 2,040
- IsCompactproof · cited by 1,282
- Set.iInterstatement and proof · cited by 1,084
- IsTopologicalGroupstatement and proof · cited by 469
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.haar.chaarproof · cited by 12
- MeasureTheory.Measure.haar.chaar_mem_clPrehaarproof · cited by 6
- MeasureTheory.Measure.haar.chaar_mem_haarProductproof · cited by 1