Theorems · Theorem · measure theory
dense_compl_of_dimH_lt_finrank
∀ {E : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [FiniteDimensional ℝ E] {s : Set E},
dimH s < ↑(Module.finrank ℝ E) → Dense sᶜ- Cited by
- 2 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.
Cites18
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 and proof · cited by 9,879
- nhdsproof · cited by 5,554
- Compl.complstatement and proof · cited by 2,925
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- Densestatement · cited by 359
- LT.lt.not_geproof · cited by 305
- Set.nonempty_iff_ne_emptyproof · cited by 96
Cited by2
Results whose statement or proof uses this declaration.
- ContDiffOn.dense_compl_image_of_dimH_lt_finrankproof · cited by 0
- ContDiff.dense_compl_range_of_finrank_lt_finrankproof · cited by 0