Theorems · Theorem · measure theory

MeasureTheory.Measure.haar.le_addIndex_mul

∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G]
  (K₀ : TopologicalSpace.PositiveCompacts G) (K : TopologicalSpace.Compacts G) {V : Set G},
  (interior V).Nonempty →
    MeasureTheory.Measure.haar.addIndex (↑K) V ≤
      MeasureTheory.Measure.haar.addIndex ↑K ↑K₀ * MeasureTheory.Measure.haar.addIndex (↑K₀) V

Defined in: Mathlib.MeasureTheory.Measure.Haar.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup TopologicalSpace IsTopologicalAddGroup

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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
Set.preimageproof · cited by 4,946
Set.rangeproof · cited by 4,705
AddGroupstatement and proof · cited by 4,410
Set.Nonemptystatement and proof · cited by 2,627
Set.iUnionproof · cited by 2,483
Finset.cardproof · cited by 2,327
mul_commproof · cited by 2,262
IsTopologicalAddGroupstatement and proof · cited by 1,394

Cited by1

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MeasureTheory.Measure.haar.add_prehaar_le_addIndexproof · cited by 1