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Theorems · Theorem · general topology

IsometryEquiv.diam_image

∀ {α : Type u} {β : Type v} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β] (h : α ≃ᵢ β) (s : Set α),
  Metric.diam (⇑h '' s) = Metric.diam s
Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
1 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpacePseudoMetricSpace
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Around this declaration

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IsometryEquiv.diam_preimage · cited by 0IsometryEquiv.diam_preima…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetReal · cited by 25697RealSet.image · cited by 5609Set.imagePseudoMetricSpace · cited by 1550PseudoMetricSpaceIsometryEquiv · cited by 177IsometryEquivMetric.diam · cited by 74Metric.diamIsometryEquiv.isometry · cited by 22IsometryEquiv.isometryIsometry.diam_image · cited by 10Isometry.diam_imageIsometryEquiv.diam_imageCITED BYCITES

Cites9

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Cited by1

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