Theorems · Theorem · measure theory
hausdorffMeasure_of_dimH_lt
∀ {X : Type u_2} [inst : EMetricSpace X] [inst_1 : MeasurableSpace X] [inst_2 : BorelSpace X] {s : Set X} {d : NNReal},
dimH s < ↑d → (MeasureTheory.Measure.hausdorffMeasure ↑d) s = 0- Cited by
- 5 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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.topproof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- iSupproof · cited by 2,415
- BorelSpacestatement and proof · cited by 1,602
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- NNReal.toRealstatement and proof · cited by 1,260
- LT.lt.not_geproof · cited by 305
Cited by5
Results whose statement or proof uses this declaration.
- dimH_iUnionproof · cited by 3
- le_dimH_of_hausdorffMeasure_ne_zeroproof · cited by 1
- Real.hausdorffMeasure_of_finrank_ltproof · cited by 1
- measure_zero_of_dimH_ltproof · cited by 0
- dimH_eq_iInfproof · cited by 0