Theorems · Theorem · measure theory
dimH_countable
∀ {X : Type u_2} [inst : EMetricSpace X] {s : Set X}, s.Countable → dimH s = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- ENNRealstatement · cited by 9,879
- iSupproof · cited by 2,415
- Set.Countablestatement and proof · cited by 545
- iSup_congr_Propproof · cited by 247
- EMetricSpacestatement and proof · cited by 242
- dimHstatement · cited by 65
- Set.biUnion_of_singletonproof · cited by 43
- ENNReal.iSup_zeroproof · cited by 15
- dimH_bUnionproof · cited by 4
- dimH_singletonproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Set.Countable.dimH_zeroproof · cited by 1