Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.le_sum_caratheodory
∀ {α : Type u_1} {ι : Type u_2} (m : ι → MeasureTheory.OuterMeasure α),
⨅ i, (m i).caratheodory ≤ (MeasureTheory.OuterMeasure.sum m).caratheodory- Cited by
- 1 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 13,106
- MeasurableSetproof · cited by 3,075
- SummationFilter.unconditionalproof · cited by 2,068
- iInfstatement · cited by 1,690
- tsumproof · cited by 1,148
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- MeasureTheory.OuterMeasure.caratheodorystatement · cited by 37
- ENNReal.tsum_addproof · cited by 10
- MeasureTheory.OuterMeasure.sumstatement · cited by 5
- MeasurableSpace.measurableSet_iInfproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PMF.toOuterMeasure_caratheodoryproof · cited by 0