Theorems · Theorem · measure theory

MeasureTheory.measure_inv_smul_symmDiff

∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : Group G] [inst_1 : MulAction G α]
  (μ : MeasureTheory.Measure α) [MeasureTheory.SMulInvariantMeasure G α μ] (c : G) (s t : Set α),
  μ (symmDiff (c⁻¹ • s) t) = μ (symmDiff s (c • t))

Defined in

Mathlib.MeasureTheory.Group.Action

Cited by

1 results in Mathlib

Foundations

Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulActionMeasureTheory.SMulInvariantMeasure