Theorems · Theorem · measure theory

MeasureTheory.IsFundamentalDomain.restrict_restrict

∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] [inst_2 : MeasurableSpace α] {s : Set α}
  {μ : MeasureTheory.Measure α} [MeasurableConstSMul G α] [MeasureTheory.SMulInvariantMeasure G α μ],
  MeasureTheory.IsFundamentalDomain G s μ →
    ∀ (g : G) (t : Set α), (μ.restrict t).restrict (g • s) = μ.restrict (g • s ∩ t)

Defined in

Mathlib.MeasureTheory.Group.FundamentalDomain

Cited by

3 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulActionMeasurableSpaceMeasurableConstSMulMeasureTheory.SMulInvariantMeasure