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Theorems · Theorem · general topology

IsometryEquiv.nndist_eq

∀ {α : Type u_3} {β : Type u_4} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β] (h : α ≃ᵢ β) (x y : α),
  nndist (h x) (h y) = nndist x y
Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
3 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpacePseudoMetricSpace
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Around this declaration

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

nndist_inv_inv · cited by 1nndist_inv_invnndist_neg_neg · cited by 1nndist_neg_negContinuousMap.nndist_eq_iSup · cited by 0ContinuousMap.nndist_eq_i…DFunLike.coe · cited by 62936DFunLike.coeNNReal · cited by 4310NNRealPseudoMetricSpace · cited by 1550PseudoMetricSpaceNNDist.nndist · cited by 235NNDist.nndistIsometryEquiv · cited by 177IsometryEquivIsometryEquiv.isometry · cited by 22IsometryEquiv.isometryIsometry.nndist_eq · cited by 7Isometry.nndist_eqIsometryEquiv.nndist_eqCITED BYCITES

Cites7

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Cited by3

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