Theorems · Theorem · measure theory

MeasureTheory.FiniteMeasure.continuous_testAgainstNN_eval

∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω] [inst_2 : OpensMeasurableSpace Ω]
  (f : BoundedContinuousFunction Ω NNReal), Continuous fun μ => μ.testAgainstNN f

Integration of (nonnegative bounded continuous) test functions against finite Borel measures depends continuously on the measure.

Defined in

Mathlib.MeasureTheory.Measure.FiniteMeasure

Cited by

2 results in Mathlib

Foundations

Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceOpensMeasurableSpace