Theorems · Theorem · measure theory

MeasureTheory.AddQuotientMeasureEqMeasurePreimage.unique

∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] [inst_2 : MeasurableSpace α]
  {ν : MeasureTheory.Measure α} [hasFun : MeasureTheory.HasAddFundamentalDomain G α ν]
  (μ μ' : MeasureTheory.Measure (Quotient (AddAction.orbitRel G α)))
  [MeasureTheory.AddQuotientMeasureEqMeasurePreimage ν μ] [MeasureTheory.AddQuotientMeasureEqMeasurePreimage ν μ'],
  μ = μ'

Any two measures satisfying AddQuotientMeasureEqMeasurePreimage are equal.

Defined in

Mathlib.MeasureTheory.Group.FundamentalDomain

Cited by

0 results in Mathlib

Foundations

Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddActionMeasurableSpaceMeasureTheory.HasAddFundamentalDomainMeasureTheory.AddQuotientMeasureEqMeasurePreimageMeasureTheory.AddQuotientMeasureEqMeasurePreimage