Theorems · Theorem · measure theory

MeasureTheory.SMulInvariantMeasure.measure_preimage_smul

∀ {M : Type u_1} {α : Type u_2} {inst : SMul M α} {x : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [self : MeasureTheory.SMulInvariantMeasure M α μ] (c : M) ⦃s : Set α⦄,
  MeasurableSet s → μ ((fun x => c • x) ⁻¹' s) = μ s

Defined in

Mathlib.MeasureTheory.Group.Defs

Cited by

7 results in Mathlib

Foundations

Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasureTheory.SMulInvariantMeasure