Theorems · Theorem · measure theory

MeasureTheory.measure_iUnion_null_iff

∀ {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}, μ (⋃ i, s i) = 0 ↔ ∀ (i : ι), μ (s i) = 0

Defined in

Mathlib.MeasureTheory.OuterMeasure.Basic

Cited by

13 results in Mathlib

Foundations

Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FunLikeMeasureTheory.OuterMeasureClassCountable