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Theorems · Theorem · general topology

IsometryEquiv.continuous

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β), Continuous ⇑h
Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
2 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsometryEquiv.toHomeomorph · cited by 16IsometryEquiv.toHomeomorphNumberField.InfinitePlace.Completion.continuous_ofCompletion · cited by 4Completion.continuous_ofC…IsometryEquiv.measurePreserving_hausdorffMeasure · cited by 3IsometryEquiv.measurePres…DFunLike.coe · cited by 62936DFunLike.coeContinuous · cited by 2592ContinuousPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceIsometryEquiv · cited by 177IsometryEquivIsometry.continuous · cited by 23Isometry.continuousIsometryEquiv.isometry · cited by 22IsometryEquiv.isometryIsometryEquiv.continuousCITED BYCITES

Cites6

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Cited by3

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