Theorems · Definition · measure theory
MeasureTheory.Measure.sum
{α : Type u_1} → {ι : Type u_5} → {m0 : MeasurableSpace α} → (ι → MeasureTheory.Measure α) → MeasureTheory.Measure αSum of an indexed family of measures.
- Cited by
- 121 results in Mathlib
- Foundations
- Depth 191 from the axioms, rests on 4,713 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.toOuterMeasureproof · cited by 75
- MeasureTheory.OuterMeasure.toMeasureproof · cited by 11
- MeasureTheory.OuterMeasure.sumproof · cited by 5
Cited by127
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.countproof · cited by 60
- MeasureTheory.Measure.sum_applystatement · cited by 50
- ProbabilityTheory.Kernel.sumproof · cited by 31
- MeasureTheory.lintegral_sum_measurestatement and proof · cited by 16
- ProbabilityTheory.poissonMeasureproof · cited by 16
- MeasureTheory.sum_sfiniteSeqstatement · cited by 16
- MeasureTheory.Measure.prod_swapproof · cited by 14
- MeasureTheory.Measure.prod_restrictproof · cited by 12
- MeasureTheory.Measure.le_sumstatement · cited by 9
- MeasureTheory.Measure.map_sumstatement and proof · cited by 9
- ProbabilityTheory.geometricMeasureproof · cited by 8
- MeasureTheory.Measure.map_prod_mapproof · cited by 7