Theorems · Theorem · measure theory

MeasureTheory.DominatedFinMeasAdditive.add_measure

∀ {α : Type u_1} {m : MeasurableSpace α} {β : Type u_7} [inst : SeminormedAddCommGroup β] {T T' : Set α → β} {C C' : ℝ}
  (μ ν : MeasureTheory.Measure α),
  MeasureTheory.DominatedFinMeasAdditive μ T C →
    MeasureTheory.DominatedFinMeasAdditive ν T' C' → MeasureTheory.DominatedFinMeasAdditive (μ + ν) (T + T') (max C C')

Defined in

Mathlib.MeasureTheory.Integral.FinMeasAdditive

Cited by

4 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedAddCommGroup