Theorems · Definition · measure theory
MeasureTheory.OuterMeasure.sum
{α : Type u_1} → {ι : Type u_3} → (ι → MeasureTheory.OuterMeasure α) → MeasureTheory.OuterMeasure αThe sum of an (arbitrary) collection of outer measures.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Disjointproof · cited by 2,201
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- Function.onFunproof · cited by 570
- Pairwiseproof · cited by 516
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.sumproof · cited by 121
- MeasureTheory.Measure.sum_applyproof · cited by 50
- PMF.toOuterMeasureproof · cited by 26
- MeasureTheory.Measure.le_sum_applyproof · cited by 5
- MeasureTheory.OuterMeasure.le_sum_caratheodorystatement · cited by 1
- MeasureTheory.OuterMeasure.trim_sum_gestatement and proof · cited by 0
- MeasureTheory.OuterMeasure.sum_applystatement · cited by 0