Theorems · Theorem · measure theory

MulAction.mem_aestabilizer

∀ {G : Type u_1} {α : Type u_2} [inst : Group G] [inst_1 : MulAction G α] {x : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} [inst_2 : MeasureTheory.SMulInvariantMeasure G α μ] {g : G} {s : Set α},
  g ∈ MulAction.aestabilizer G μ s ↔ g • s =ᵐ[μ] s

Defined in

Mathlib.MeasureTheory.Group.AEStabilizer

Cited by

3 results in Mathlib

Foundations

Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulActionMeasureTheory.SMulInvariantMeasure