Documentation

GibbsMeasure.Mathlib.MeasureTheory.Measure.GiryMonad

theorem MeasureTheory.Measure.measurable_of_measurable_coe' {α : Type u_1} {β : Type u_2} [MeasurableSpace β] (t : Set (Set α)) (μ : βMeasure α) [∀ (b : β), IsProbabilityMeasure (μ b)] (h : st, Measurable fun (b : β) => (μ b) s) :
theorem MeasureTheory.Measure.measurable_restrict {α : Type u_1} { : MeasurableSpace α} {s : Set α} (hs : MeasurableSet s) :
Measurable fun (μ : Measure α) => μ.restrict s
theorem MeasureTheory.Measure.measurable_setLIntegral {α : Type u_1} { : MeasurableSpace α} {s : Set α} {f : αENNReal} (hf : Measurable f) (hs : MeasurableSet s) :
Measurable fun (μ : Measure α) => ∫⁻ (x : α) in s, f x μ