Theorems · Theorem · measure theory
dimH_mono
∀ {X : Type u_2} [inst : EMetricSpace X] {s t : Set X}, s ⊆ t → dimH s ≤ dimH t- Cited by
- 8 results in Mathlib
- Foundations
- Depth 205 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.
Cites13
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 · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- NNReal.toRealproof · cited by 1,260
- MeasureTheory.measure_monoproof · cited by 338
- EMetricSpacestatement and proof · cited by 242
- top_uniqueproof · cited by 102
- MeasureTheory.Measure.hausdorffMeasureproof · cited by 71
- dimHstatement · cited by 65
- dimH_leproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- Real.dimH_of_mem_nhdsproof · cited by 3
- dimH_iUnionproof · cited by 3
- dense_compl_of_dimH_lt_finrankproof · cited by 2
- Real.dimH_lt_topproof · cited by 1
- bsupr_limsup_dimHproof · cited by 1
- AntilipschitzWith.le_dimH_imageproof · cited by 1
- exists_mem_nhdsWithin_lt_dimH_of_lt_dimHproof · cited by 1
- iSup_limsup_dimHproof · cited by 0