Theorems · Theorem · measure theory

MeasureTheory.measure_biUnion_le

∀ {α : Type u_1} {ι : Type u_2} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [MeasureTheory.OuterMeasureClass F α]
  {I : Set ι} (μ : F), I.Countable → ∀ (s : ι → Set α), μ (⋃ i ∈ I, s i) ≤ ∑' (i : ↑I), μ (s ↑i)

Defined in

Mathlib.MeasureTheory.OuterMeasure.Basic

Cited by

3 results in Mathlib

Foundations

Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FunLikeMeasureTheory.OuterMeasureClass