Theorems · Theorem · measure theory

nullMeasurableSet_of_null_frontier

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α] {s : Set α}
  {μ : MeasureTheory.Measure α}, μ (frontier s) = 0 → MeasureTheory.NullMeasurableSet s μ

Defined in

Mathlib.MeasureTheory.Constructions.BorelSpace.Basic

Cited by

2 results in Mathlib

Foundations

Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceMeasurableSpaceOpensMeasurableSpace