Theorems · Theorem · measure theory

MeasureTheory.continuous_diracProba

∀ {X : Type u_1} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] [inst_2 : OpensMeasurableSpace X],
  Continuous fun x => MeasureTheory.diracProba x

The assignment x ↦ diracProba x is continuous X → ProbabilityMeasure X.

Defined in

Mathlib.MeasureTheory.Measure.DiracProba

Cited by

2 results in Mathlib

Foundations

Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceOpensMeasurableSpace