Theorems · Theorem · measure theory
MeasureTheory.sum_sfiniteSeq
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [h : MeasureTheory.SFinite μ],
MeasureTheory.Measure.sum (MeasureTheory.sfiniteSeq μ) = μ- Cited by
- 16 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.sumstatement · cited by 121
- MeasureTheory.sfiniteSeqstatement · cited by 20
- MeasureTheory.SFinite.out'proof · cited by 1
Cited by16
Results whose statement or proof uses this declaration.
- measurable_measure_prodMk_leftproof · cited by 20
- MeasureTheory.Measure.prod_swapproof · cited by 14
- MeasureTheory.Measure.prod_restrictproof · cited by 12
- MeasureTheory.Measure.map_prod_mapproof · cited by 7
- MeasureTheory.Measure.measure_toMeasurable_inter_of_sFiniteproof · cited by 4
- MeasureTheory.exists_isFiniteMeasure_absolutelyContinuousproof · cited by 4
- MeasureTheory.Measure.prod_diracproof · cited by 3
- MeasureTheory.Measure.dirac_prodproof · cited by 3
- MeasureTheory.Measure.prod_addproof · cited by 2
- MeasureTheory.Measure.countable_meas_pos_of_disjoint_iUnion₀proof · cited by 2
- MeasureTheory.sfiniteSeq_leproof · cited by 2
- MeasureTheory.Measure.add_prodproof · cited by 2