Theorems · Theorem · measure theory

MeasureTheory.measure_preimage_smul_null

∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : SMul G α] {μ : MeasureTheory.Measure α}
  [MeasureTheory.SMulInvariantMeasure G α μ] {s : Set α}, μ s = 0 → ∀ (c : G), μ ((fun x => c • x) ⁻¹' s) = 0

Defined in

Mathlib.MeasureTheory.Group.Action

Cited by

0 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SMulMeasureTheory.SMulInvariantMeasure