Theorems · Theorem · measure theory

MeasureTheory.IsAddFundamentalDomain.measure_ne_zero

∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] [inst_2 : MeasurableSpace α] {s : Set α}
  {μ : MeasureTheory.Measure α} [Countable G] [MeasureTheory.VAddInvariantMeasure G α μ],
  μ ≠ 0 → MeasureTheory.IsAddFundamentalDomain G s μ → μ s ≠ 0

Defined in

Mathlib.MeasureTheory.Group.FundamentalDomain

Cited by

2 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddActionMeasurableSpaceCountableMeasureTheory.VAddInvariantMeasure