Theorems · Theorem · measure theory
le_dimH_of_hausdorffMeasure_eq_top
∀ {X : Type u_2} [inst : EMetricSpace X] [inst_1 : MeasurableSpace X] [inst_2 : BorelSpace X] {s : Set X} {d : NNReal},
(MeasureTheory.Measure.hausdorffMeasure ↑d) s = ⊤ → ↑d ≤ dimH s- Cited by
- 3 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- BorelSpacestatement and proof · cited by 1,602
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- NNReal.toRealstatement and proof · cited by 1,260
- EMetricSpacestatement and proof · cited by 242
- MeasureTheory.Measure.hausdorffMeasurestatement and proof · cited by 71
Cited by3
Results whose statement or proof uses this declaration.
- dimH_monoproof · cited by 8
- HolderOnWith.dimH_image_leproof · cited by 3
- AntilipschitzWith.dimH_preimage_leproof · cited by 1