Theorems · Theorem · functional analysis
infEDist_thickening
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] [NormedSpace ℝ E] {δ : ℝ},
0 < δ → ∀ (s : Set E) (x : E), Metric.infEDist x (Metric.thickening δ s) = Metric.infEDist x s - ENNReal.ofReal δ- Cited by
- 3 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.
Cites48
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
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- Dist.distproof · cited by 1,539
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
Cited by3
Results whose statement or proof uses this declaration.
- cthickening_thickeningproof · cited by 2
- infEDist_cthickeningproof · cited by 2
- infEdist_thickeningproof · cited by 0