Theorems · Theorem · measure theory

MeasureTheory.measure_add_right_null

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ : MeasureTheory.Measure G)
  [MeasureTheory.SFinite μ] {s : Set G} [MeasurableNeg G] [μ.IsAddLeftInvariant] (y : G),
  μ ((fun x => x + y) ⁻¹' s) = 0 ↔ μ s = 0

Defined in

Mathlib.MeasureTheory.Group.Prod

Cited by

4 results in Mathlib

Foundations

Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddGroupMeasurableAdd₂MeasureTheory.SFiniteMeasurableNegMeasureTheory.Measure.IsAddLeftInvariant