Theorems · Theorem · measure theory

MeasureTheory.Measure.OuterRegular.outerRegular

∀ {α : Type u_1} {inst : MeasurableSpace α} {inst_1 : TopologicalSpace α} {μ : MeasureTheory.Measure α}
  [self : μ.OuterRegular] ⦃A : Set α⦄, MeasurableSet A → ∀ r > μ A, ∃ U ⊇ A, IsOpen U ∧ μ U < r

Defined in

Mathlib.MeasureTheory.Measure.Regular

Cited by

2 results in Mathlib

Foundations

Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasureTheory.Measure.OuterRegular