Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.isCaratheodory_iUnion
∀ {α : Type u} (m : MeasureTheory.OuterMeasure α) {s : ℕ → Set α},
(∀ (i : ℕ), m.IsCaratheodory (s i)) → m.IsCaratheodory (⋃ i, s i)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 138 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.
- Setstatement and proof · cited by 53,352
- Set.iUnionstatement · cited by 2,483
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- disjoint_disjointedproof · cited by 25
- MeasureTheory.OuterMeasure.IsCaratheodorystatement and proof · cited by 20
- iUnion_disjointedproof · cited by 16
- MeasureTheory.OuterMeasure.isCaratheodory_disjointedproof · cited by 1
- MeasureTheory.OuterMeasure.isCaratheodory_iUnion_of_disjointproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.AddContent.isCaratheodory_inducedOuterMeasureproof · cited by 0