Theorems · Theorem · measure theory
MeasureTheory.Measure.le_sum
∀ {α : Type u_1} {ι : Type u_5} {m0 : MeasurableSpace α} (μ : ι → MeasureTheory.Measure α) (i : ι),
μ i ≤ MeasureTheory.Measure.sum μ- Cited by
- 9 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.sumstatement · cited by 121
- MeasureTheory.Measure.sum_applyproof · cited by 50
- MeasureTheory.Measure.le_iffproof · cited by 21
- ENNReal.le_tsumproof · cited by 10
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_sumproof · cited by 9
- MeasureTheory.hasSum_integral_measureproof · cited by 4
- aestronglyMeasurable_sum_measure_iffproof · cited by 3
- MeasureTheory.sfiniteSeq_leproof · cited by 2
- MeasureTheory.Measure.countable_meas_pos_of_disjoint_iUnion₀proof · cited by 2
- MeasureTheory.Integrable.summable_integralproof · cited by 2
- MeasureTheory.Measure.MutuallySingular.sum_leftproof · cited by 2
- aemeasurable_sum_measure_iffproof · cited by 1
- MeasureTheory.integrable_sum_measure_iffproof · cited by 0