Theorems · Theorem · measure theory

MeasureTheory.QuotientMeasureEqMeasurePreimage.unique

∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] [inst_2 : MeasurableSpace α]
  {ν : MeasureTheory.Measure α} [hasFun : MeasureTheory.HasFundamentalDomain G α ν]
  (μ μ' : MeasureTheory.Measure (Quotient (MulAction.orbitRel G α)))
  [MeasureTheory.QuotientMeasureEqMeasurePreimage ν μ] [MeasureTheory.QuotientMeasureEqMeasurePreimage ν μ'], μ = μ'

Any two measures satisfying QuotientMeasureEqMeasurePreimage 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

GroupMulActionMeasurableSpaceMeasureTheory.HasFundamentalDomainMeasureTheory.QuotientMeasureEqMeasurePreimageMeasureTheory.QuotientMeasureEqMeasurePreimage