Theorems · Theorem · measure theory
dimH_iUnion
∀ {X : Type u_2} [inst : EMetricSpace X] {ι : Sort u_4} [Countable ι] (s : ι → Set X), dimH (⋃ i, s i) = ⨆ i, dimH (s i)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpaceCountable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- Set.iUnionstatement and proof · cited by 2,483
- iSupstatement and proof · cited by 2,415
- le_antisymmproof · cited by 2,068
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
- LE.le.trans_ltproof · cited by 795
- Countablestatement and proof · cited by 633
Cited by3
Results whose statement or proof uses this declaration.
- dimH_bUnionproof · cited by 4
- Real.dimH_univ_piproof · cited by 1
- dimH_unionproof · cited by 0