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Theorems · Theorem · measure theory

MeasureTheory.Measure.sum_sum

∀ {α : Type u_1} {ι : Type u_5} {m0 : MeasurableSpace α} {ι' : Type u_8} (μ : ι → ι' → MeasureTheory.Measure α),
  (MeasureTheory.Measure.sum fun n => MeasureTheory.Measure.sum (μ n)) = MeasureTheory.Measure.sum fun p => μ p.1 p.2
Defined in
Mathlib.MeasureTheory.Measure.MeasureSpace
Cited by
1 results in Mathlib
Foundations
Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasureTheory.Measure.prod_sum · cited by 6Measure.prod_sumDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurableSet · cited by 3075MeasurableSetSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…tsum · cited by 1148tsumMeasureTheory.Measure.ext · cited by 308Measure.extMeasureTheory.Measure.sum · cited by 121Measure.sumMeasureTheory.Measure.sum_apply · cited by 50Measure.sum_applyENNReal.tsum_prod' · cited by 1ENNReal.tsum_prod'Measure.sum_sumCITED BYCITES

Cites11

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Cited by1

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