Theorems · Theorem · measure theory
Real.dimH_of_nonempty_interior
∀ {E : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [FiniteDimensional ℝ E] {s : Set E},
(interior s).Nonempty → dimH s = ↑(Module.finrank ℝ E)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 254 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
- Set.Nonemptystatement and proof · cited by 2,627
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- interiorstatement and proof · cited by 714
- mem_interior_iff_mem_nhdsproof · cited by 82
- dimHstatement and proof · cited by 65
- Real.dimH_of_mem_nhdsproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.Convex.dimH_eq_finrank_vectorSpanproof · cited by 1