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Theorems · Theorem · general topology

Isometry.completion_map

∀ {α : Type u} {β : Type v} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β] {f : α → β},
  Isometry f → Isometry (UniformSpace.Completion.map f)
Defined in
Mathlib.Topology.MetricSpace.Completion
Cited by
0 results in Mathlib
Foundations
Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpacePseudoMetricSpace
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PseudoMetricSpace · cited by 1550PseudoMetricSpaceIsometry · cited by 230IsometryUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.map · cited by 23Completion.mapIsometry.comp · cited by 10Isometry.compIsometry.completion_extension · cited by 4Isometry.completion_exten…UniformSpace.Completion.coe_isometry · cited by 3Completion.coe_isometryIsometry.completion_mapCITED BYCITES

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