Theorems · Theorem · measure theory

MeasureTheory.AEEqFun.mk_add_mk

∀ {α : Type u_1} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace γ]
  [inst_2 : Add γ] [inst_3 : ContinuousAdd γ] (f g : α → γ) (hf : MeasureTheory.AEStronglyMeasurable f μ)
  (hg : MeasureTheory.AEStronglyMeasurable g μ),
  MeasureTheory.AEEqFun.mk f hf + MeasureTheory.AEEqFun.mk g hg = MeasureTheory.AEEqFun.mk (f + g) ⋯

Defined in

Mathlib.MeasureTheory.Function.AEEqFun

Cited by

0 results in Mathlib

Foundations

Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceAddContinuousAdd