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Theorems · Theorem · probability

MeasureTheory.AddContent.measure.congr_simp

∀ {α : Type u_1} {C : Set (Set α)} [mα : MeasurableSpace α] (m m_1 : MeasureTheory.AddContent ENNReal C) (e_m : m = m_1)
  (hC : MeasureTheory.IsSetSemiring C) (hC_gen : mα ≤ MeasurableSpace.generateFrom C)
  (m_sigma_subadd : m.IsSigmaSubadditive), m.measure hC hC_gen m_sigma_subadd = m_1.measure hC hC_gen ⋯
Defined in
Mathlib.Probability.Kernel.IonescuTulcea.Traj
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0 results in Mathlib
Foundations
Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasurableSpace.generateFrom · cited by 172MeasurableSpace.generateF…MeasureTheory.IsSetSemiring · cited by 78MeasureTheory.IsSetSemiri…MeasureTheory.AddContent · cited by 78MeasureTheory.AddContentMeasureTheory.AddContent.IsSigmaSubadditive · cited by 11AddContent.IsSigmaSubaddi…MeasureTheory.AddContent.measure · cited by 2AddContent.measuremeasure.congr_simpCITED BYCITES

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