Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.mapRange_add

∀ {α : Type u_1} {mα : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
  {N : Type u_4} [inst_2 : AddCommMonoid N] [inst_3 : TopologicalSpace N] [inst_4 : ContinuousAdd M]
  [inst_5 : ContinuousAdd N] {v w : MeasureTheory.VectorMeasure α M} {f : M →+ N} (hf : Continuous ⇑f),
  (v + w).mapRange f hf = v.mapRange f hf + w.mapRange f hf

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

3 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceAddCommMonoidTopologicalSpaceContinuousAddContinuousAdd