Theorems · Theorem · measure theory

MeasureTheory.Measure.haar.addCHaar_mem_clAddPrehaar

∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalAddGroup G]
  (K₀ : TopologicalSpace.PositiveCompacts G) (V : TopologicalSpace.OpenNhdsOf 0),
  MeasureTheory.Measure.haar.addCHaar K₀ ∈ MeasureTheory.Measure.haar.clAddPrehaar (↑K₀) V

Defined in: Mathlib.MeasureTheory.Measure.Haar.Basic
Cited by: 6 results in Mathlib
Foundations: Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup TopologicalSpace IsTopologicalAddGroup

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Cites14

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

Setstatement · cited by 53,352
Realstatement · cited by 25,697
TopologicalSpacestatement and proof · cited by 24,529
SetLike.coestatement and proof · cited by 8,199
AddGroupstatement and proof · cited by 4,410
IsTopologicalAddGroupstatement and proof · cited by 1,394
Set.iInterproof · cited by 1,084
TopologicalSpace.Compactsstatement · cited by 386
TopologicalSpace.PositiveCompactsstatement and proof · cited by 112
Set.mem_iInterproof · cited by 69
TopologicalSpace.OpenNhdsOfstatement and proof · cited by 12
MeasureTheory.Measure.haar.addCHaarstatement · cited by 11

Cited by6

Results whose statement or proof uses this declaration.

MeasureTheory.Measure.haar.is_left_invariant_addCHaarproof · cited by 1
MeasureTheory.Measure.haar.addCHaar_selfproof · cited by 1
MeasureTheory.Measure.haar.addCHaar_emptyproof · cited by 0
MeasureTheory.Measure.haar.addCHaar_monoproof · cited by 0
MeasureTheory.Measure.haar.addCHaar_sup_eqproof · cited by 0
MeasureTheory.Measure.haar.addCHaar_sup_leproof · cited by 0