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Theorems · Definition · general topology

IsometryEquiv.toDilationEquiv

{X : Type u_1} → {Y : Type u_2} → [inst : PseudoEMetricSpace X] → [inst_1 : PseudoEMetricSpace Y] → X ≃ᵢ Y → X ≃ᵈ Y

Every isometry equivalence is a dilation equivalence of ratio 1.

Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
6 results in Mathlib
Foundations
Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace

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Cited by6

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