Theorems · Theorem · functional analysis
closure_thickening
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] [NormedSpace ℝ E] {δ : ℝ},
0 < δ → ∀ (s : Set E), closure (Metric.thickening δ s) = Metric.cthickening δ s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- NormedSpacestatement and proof · cited by 12,499
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- zero_addproof · cited by 2,366
- le_rflproof · cited by 1,558
- closurestatement · cited by 1,254
- Metric.thickeningstatement and proof · cited by 130
- Metric.cthickeningstatement and proof · cited by 113
- Metric.cthickening_zeroproof · cited by 8
- cthickening_thickeningproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- infEDist_cthickeningproof · cited by 2
- thickening_cthickeningproof · cited by 1