Theorems · Theorem · measure theory
Real.dimH_lt_top
∀ {E : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [FiniteDimensional ℝ E] (s : Set E),
dimH s < ⊤The Hausdorff dimension of any set in a finite-dimensional real normed space is finite.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankproof · cited by 1,770
- Set.subset_univproof · cited by 228
- dimHstatement · cited by 65
- dimH_monoproof · cited by 8
- Real.dimH_univ_eq_finrankproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Real.dimH_ne_topproof · cited by 0