Theorems · Theorem · measure theory

MeasureTheory.measure_mono_null

∀ {α : Type u_1} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [MeasureTheory.OuterMeasureClass F α] {μ : F}
  {s t : Set α}, s ⊆ t → μ t = 0 → μ s = 0

Defined in

Mathlib.MeasureTheory.OuterMeasure.Basic

Cited by

81 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FunLikeMeasureTheory.OuterMeasureClass