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Theorems · Theorem · general topology

IsometryEquiv.edist_eq

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β) (x y : α),
  edist (h x) (h y) = edist x y
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
PseudoEMetricSpacePseudoEMetricSpace
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Around this declaration

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

ContinuousMap.edist_eq_iSup · cited by 2ContinuousMap.edist_eq_iS…DFunLike.coe · cited by 62936DFunLike.coeENNReal · cited by 9879ENNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceEDist.edist · cited by 735EDist.edistIsometryEquiv · cited by 177IsometryEquivIsometryEquiv.isometry · cited by 22IsometryEquiv.isometryIsometry.edist_eq · cited by 18Isometry.edist_eqIsometryEquiv.edist_eqCITED BYCITES

Cites7

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Cited by1

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