Theorems · Theorem · measure theory

MeasureTheory.measure_preimage_vadd

∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : AddGroup G] [inst_1 : AddAction G α]
  (μ : MeasureTheory.Measure α) [MeasureTheory.VAddInvariantMeasure G α μ] (c : G) (s : Set α),
  μ ((fun x => c +ᵥ x) ⁻¹' s) = μ s

Defined in

Mathlib.MeasureTheory.Group.Action

Cited by

3 results in Mathlib

Foundations

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

Assumes

AddGroupAddActionMeasureTheory.VAddInvariantMeasure