Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.isCaratheodory_union
∀ {α : Type u} (m : MeasureTheory.OuterMeasure α) {s₁ s₂ : Set α},
m.IsCaratheodory s₁ → m.IsCaratheodory s₂ → m.IsCaratheodory (s₁ ∪ s₂)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- ENNRealproof · cited by 9,879
- Compl.complproof · cited by 2,925
- add_assocproof · cited by 746
- Set.inter_commproof · cited by 291
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- Set.subset_union_leftproof · cited by 142
- Set.inter_assocproof · cited by 67
- Set.sdiff_eqproof · cited by 59
- Set.inter_eq_self_of_subset_rightproof · cited by 39
- Set.compl_unionproof · cited by 30
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.IsCaratheodory.biUnion_of_finiteproof · cited by 1
- MeasureTheory.OuterMeasure.isCaratheodory_interproof · cited by 1