Theorems · Theorem · measure theory
Real.dimH_ball_pi
∀ {ι : Type u_1} [inst : Fintype ι] (x : ι → ℝ) {r : ℝ}, 0 < r → dimH (Metric.ball x r) = ↑(Fintype.card ι)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 250 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measureproof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement and proof · cited by 1,386
- ENNReal.ofRealproof · cited by 863
- IsEmptyproof · cited by 759
- Metric.ballstatement and proof · cited by 735
- mul_posproof · cited by 374
- pow_posproof · cited by 292
Cited by2
Results whose statement or proof uses this declaration.
- Real.dimH_ball_pi_finproof · cited by 1
- Real.dimH_univ_piproof · cited by 1