Theorems · Theorem · measure theory

MeasureTheory.Measure.haar.index_pos

∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G]
  (K : TopologicalSpace.PositiveCompacts G) {V : Set G},
  (interior V).Nonempty → 0 < MeasureTheory.Measure.haar.index (↑K) V

Defined in: Mathlib.MeasureTheory.Measure.Haar.Basic
Cited by: 5 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group TopologicalSpace IsTopologicalGroup

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Cites25

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
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.ofPredproof · cited by 6,101
Set.preimageproof · cited by 4,946
Set.Nonemptystatement and proof · cited by 2,627
Set.iUnionproof · cited by 2,483
Finset.cardproof · cited by 2,327
interiorstatement and proof · cited by 714
IsTopologicalGroupstatement and proof · cited by 469

Cited by5

Results whose statement or proof uses this declaration.

MeasureTheory.Measure.haar.prehaar_le_indexproof · cited by 1
MeasureTheory.Measure.haar.prehaar_monoproof · cited by 1
MeasureTheory.Measure.haar.prehaar_selfproof · cited by 1
MeasureTheory.Measure.haar.prehaar_sup_leproof · cited by 1
MeasureTheory.Measure.haar.prehaar_posproof · cited by 0