Theorems · Theorem · functional analysis
cthickening_cthickening
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] [NormedSpace ℝ E] {δ ε : ℝ},
0 ≤ ε → 0 ≤ δ → ∀ (s : Set E), Metric.cthickening ε (Metric.cthickening δ s) = Metric.cthickening (ε + δ) s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 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
- NormedSpacestatement and proof · cited by 12,499
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- ENNReal.ofRealproof · cited by 863
- LE.le.antisymmproof · cited by 507
- Metric.infEDistproof · cited by 147
- Metric.cthickeningstatement and proof · cited by 113
- tsub_le_iff_rightproof · cited by 49
- ENNReal.ofReal_addproof · cited by 26
- infEDist_cthickeningproof · cited by 2
- Metric.cthickening_cthickening_subsetproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- cthickening_closedBallproof · cited by 1