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Theorems · Theorem · general topology

Isometry.prodMap

∀ {α : Type u} {β : Type v} {γ : Type w} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : PseudoEMetricSpace γ] {δ : Type u_3} [inst_3 : PseudoEMetricSpace δ] {f : α → β} {g : γ → δ},
  Isometry f → Isometry g → Isometry (Prod.map f g)
Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
1 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpacePseudoEMetricSpacePseudoEMetricSpace
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Around this declaration

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

NNReal.lipschitzWith_sub · cited by 0NNReal.lipschitzWith_subPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceEDist.edist · cited by 735EDist.edistIsometry · cited by 230IsometryIsometry.edist_eq · cited by 18Isometry.edist_eqIsometry.prodMapCITED BYCITES

Cites4

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Cited by1

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