Theorems · Theorem · general topology
GromovHausdorff.ghDist_le_nonemptyCompacts_dist
∀ {X : Type u} [inst : MetricSpace X] (p q : TopologicalSpace.NonemptyCompacts X),
dist p.toGHSpace q.toGHSpace ≤ dist p q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 241 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MetricSpace
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.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- SetLike.coeproof · cited by 8,199
- Set.rangeproof · cited by 4,705
- MetricSpacestatement and proof · cited by 1,684
- Dist.diststatement and proof · cited by 1,539
- Isometryproof · cited by 230
- Subtype.range_coe_subtypeproof · cited by 170
- TopologicalSpace.NonemptyCompactsstatement and proof · cited by 137
- Metric.hausdorffDistproof · cited by 30
- GromovHausdorff.GHSpacestatement · cited by 8
- isometry_subtype_coeproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- GromovHausdorff.toGHSpace_lipschitzproof · cited by 1