Theorems · Theorem · general topology
IsometryClass.diam_range
∀ {F : Type u_1} {α : Type u} {β : Type v} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β]
[inst_2 : FunLike F α β] [IsometryClass F α β] (f : F), Metric.diam (Set.range ⇑f) = Metric.diam Set.univ- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Set.rangestatement · cited by 4,705
- Set.univstatement · cited by 3,945
- FunLikestatement and proof · cited by 2,560
- PseudoMetricSpacestatement and proof · cited by 1,550
- Metric.diamstatement · cited by 74
- IsometryClassstatement and proof · cited by 19
- IsometryClass.isometryproof · cited by 12
- Isometry.diam_rangeproof · cited by 5
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