Theorems · Theorem · measure theory

AddAction.mem_aestabilizer

∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {x : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} [inst_2 : MeasureTheory.VAddInvariantMeasure G α μ] {g : G} {s : Set α},
  g ∈ AddAction.aestabilizer G μ s ↔ g +ᵥ s =ᵐ[μ] s

Defined in

Mathlib.MeasureTheory.Group.AEStabilizer

Cited by

6 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddActionMeasureTheory.VAddInvariantMeasure