Theorems · Theorem · dynamical systems

MulAction.aeconst_of_aestabilizer_eq_top

∀ (G : Type u_1) {α : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : Group G]
  [inst_1 : MulAction G α] [inst_2 : ErgodicSMul G α μ] {s : Set α},
  MeasureTheory.NullMeasurableSet s μ → MulAction.aestabilizer G μ s = ⊤ → Filter.EventuallyConst s (MeasureTheory.ae μ)

Defined in

Mathlib.Dynamics.Ergodic.Action.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

GroupMulActionErgodicSMul