Theorems · Theorem · general topology
Bornology.IsBounded.cthickening
∀ {α : Type u_2} [inst : PseudoMetricSpace α] {δ : ℝ} {E : Set α},
Bornology.IsBounded E → Bornology.IsBounded (Metric.cthickening δ E)- Defined in
- Mathlib.Topology.MetricSpace.Thickening
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- PseudoMetricSpacestatement and proof · cited by 1,550
- LT.lt.trans_leproof · cited by 678
- zero_lt_oneproof · cited by 598
- Bornology.IsBoundedstatement and proof · cited by 293
- le_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
- Metric.thickeningproof · cited by 130
- Metric.cthickeningstatement · cited by 113
- lt_add_oneproof · cited by 105
- Bornology.IsBounded.subsetproof · cited by 45
Cited by3
Results whose statement or proof uses this declaration.
- IsCompact.cthickeningproof · cited by 4
- tendsto_measure_cthickening_of_isCompactproof · cited by 1
- Metric.diam_thickening_leproof · cited by 0