Documentation

GibbsMeasure.Mathlib.MeasureTheory.Measure.Ext

theorem MeasureTheory.Measure.ext_of_generateFrom_of_univ {α : Type u_1} {mα : MeasurableSpace α} {C : Set (Set α)} {μ ν : Measure α} (hA : mα = MeasurableSpace.generateFrom C) (hC : IsPiSystem C) (h_univ : Set.univ ∈ C) (hμ : μ Set.univ ≠ ⊤) (h : ∀ s ∈ C, μ s = ν s) :
μ = ν
theorem MeasureTheory.ext_of_generateFrom_of_isProbabilityMeasure {α : Type u_1} {mα : MeasurableSpace α} {C : Set (Set α)} {μ ν : Measure α} [IsProbabilityMeasure μ] [IsProbabilityMeasure ν] (hA : mα = MeasurableSpace.generateFrom C) (hC : IsPiSystem C) (hμν : ∀ s ∈ C, μ s = ν s) :
μ = ν