Theorems · Theorem · functional analysis
thickening_thickening
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] [NormedSpace ℝ E] {δ ε : ℝ},
0 < ε → 0 < δ → ∀ (s : Set E), Metric.thickening ε (Metric.thickening δ s) = Metric.thickening (ε + δ) s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Dist.distproof · cited by 1,539
- add_commproof · cited by 1,535
- LE.le.antisymmproof · cited by 507
- Metric.thickeningstatement · cited by 130
- Metric.thickening_thickening_subsetproof · cited by 4
- exists_dist_lt_ltproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- thickening_ballproof · cited by 1
- thickening_cthickeningproof · cited by 1