Theorems · Theorem · measure theory

MeasureTheory.measure_preimage_smul_le

∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : SMul G α] (μ : MeasureTheory.Measure α)
  [MeasureTheory.SMulInvariantMeasure G α μ] (c : G) (s : Set α), μ ((fun x => c • x) ⁻¹' s) ≤ μ s

See also measure_preimage_smul_of_nullMeasurableSet and measure_preimage_smul.

Defined in

Mathlib.MeasureTheory.Group.Action

Cited by

3 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SMulMeasureTheory.SMulInvariantMeasure