Theorems · Theorem · measure theory

DomMulAct.smul_aeeqFun_aeeq

∀ {M : Type u_1} {α : Type u_2} {β : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α}
  [inst_1 : TopologicalSpace β] [inst_2 : SMul M α] [inst_3 : MeasurableConstSMul M α]
  [inst_4 : MeasureTheory.SMulInvariantMeasure M α μ] (c : Mᵈᵐᵃ) (f : α →ₘ[μ] β),
  ↑(c • f) =ᵐ[μ] fun x => ↑f (DomMulAct.mk.symm c • x)

Defined in

Mathlib.MeasureTheory.Function.AEEqFun.DomAct

Cited by

0 results in Mathlib

Foundations

Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceSMulMeasurableConstSMulMeasureTheory.SMulInvariantMeasure