Theorems · Theorem · measure theory
rieszContentAux_union
∀ {X : Type u_1} [inst : TopologicalSpace X] (Λ : CompactlySupportedContinuousMap X NNReal →ₗ[NNReal] NNReal)
[T2Space X] [LocallyCompactSpace X] {K₁ K₂ : TopologicalSpace.Compacts X},
Disjoint ↑K₁ ↑K₂ → rieszContentAux Λ (K₁ ⊔ K₂) = rieszContentAux Λ K₁ + rieszContentAux Λ K₂- Cited by
- 2 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites48
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 · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement and proof · cited by 18,349
- LinearMapstatement and proof · cited by 10,215
- SetLike.coestatement and proof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- NNRealstatement and proof · cited by 4,310
- one_mulproof · cited by 2,841
- Disjointstatement and proof · cited by 2,201
- MulZeroClass.mul_zeroproof · cited by 2,091
Cited by3
Results whose statement or proof uses this declaration.
- rieszContentproof · cited by 7
- RealRMK.le_rieszMeasure_tsupport_subsetproof · cited by 0
- rieszContent_ne_topproof · cited by 0