Theorems · Theorem · functional analysis
infEDist_cthickening
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] [NormedSpace ℝ E] (δ : ℝ) (s : Set E) (x : E),
Metric.infEDist x (Metric.cthickening δ s) = Metric.infEDist x s - ENNReal.ofReal δ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- ENNReal.ofRealstatement and proof · cited by 863
- le_or_gtproof · cited by 269
- Metric.infEDiststatement and proof · cited by 147
- tsub_zeroproof · cited by 123
- Metric.cthickeningstatement · cited by 113
- ENNReal.ofReal_of_nonposproof · cited by 9
- Metric.cthickening_of_nonposproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- cthickening_cthickeningproof · cited by 1
- infEdist_cthickeningproof · cited by 0