Theorems · Theorem · measure theory

MeasureTheory.measure_iUnion_null

∀ {α : Type u_1} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [MeasureTheory.OuterMeasureClass F α] {μ : F}
  {ι : Sort u_4} [Countable ι] {s : ι → Set α}, (∀ (i : ι), μ (s i) = 0) → μ (⋃ i, s i) = 0

Alias of the reverse direction of MeasureTheory.measure_iUnion_null_iff.

Defined in

Mathlib.MeasureTheory.OuterMeasure.Basic

Cited by

7 results in Mathlib

Foundations

Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FunLikeMeasureTheory.OuterMeasureClassCountable