Theorems · Theorem · measure theory

MeasureTheory.measure_sUnion_null_iff

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

Defined in

Mathlib.MeasureTheory.OuterMeasure.Basic

Cited by

1 results in Mathlib

Foundations

Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FunLikeMeasureTheory.OuterMeasureClass