Theorems · Theorem · measure theory

IsAddFoelner.univ_of_isFiniteMeasure

∀ {G : Type u_1} {X : Type u_2} [inst : MeasurableSpace X] {μ : MeasureTheory.Measure X} [inst_1 : AddGroup G]
  [inst_2 : AddAction G X] {ι : Type u_3} {l : Filter ι} [NeZero μ] [MeasureTheory.IsFiniteMeasure μ],
  IsAddFoelner G μ l fun x => Set.univ

The constant sequence X is Følner if X has finite measure.

Defined in

Mathlib.MeasureTheory.Group.FoelnerFilter

Cited by

0 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddGroupAddActionNeZeroMeasureTheory.IsFiniteMeasure