Theorems · Theorem · measure theory

DomAddAct.mk_vadd_mk_aeeqFun

∀ {M : Type u_3} {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α}
  [inst_1 : TopologicalSpace β] [inst_2 : VAdd M α] [inst_3 : MeasurableConstVAdd M α]
  [inst_4 : MeasureTheory.VAddInvariantMeasure M α μ] (c : M) (f : α → β) (hf : MeasureTheory.AEStronglyMeasurable f μ),
  DomAddAct.mk c +ᵥ MeasureTheory.AEEqFun.mk f hf = MeasureTheory.AEEqFun.mk (fun x => f (c +ᵥ x)) ⋯

Defined in

Mathlib.MeasureTheory.Function.AEEqFun.DomAct

Cited by

0 results in Mathlib

Foundations

Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceVAddMeasurableConstVAddMeasureTheory.VAddInvariantMeasure