Theorems · Theorem · measure theory

MeasureTheory.smul_ae_eq_self_of_mem_zpowers

∀ {G : Type u_1} {α : Type u_2} [inst : Group G] [inst_1 : MulAction G α] {x : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} [MeasureTheory.SMulInvariantMeasure G α μ] {x_1 y : G} {s : Set α},
  x_1 • s =ᵐ[μ] s → y ∈ Subgroup.zpowers x_1 → y • s =ᵐ[μ] s

Defined in

Mathlib.MeasureTheory.Group.AEStabilizer

Cited by

0 results in Mathlib

Foundations

Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulActionMeasureTheory.SMulInvariantMeasure