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Theorems · Definition · general topology

Dilation.mkOfNNDistEq

{α : Type u_5} →
  {β : Type u_6} →
    [inst : PseudoMetricSpace α] →
      [inst_1 : PseudoMetricSpace β] →
        (f : α → β) → (∃ r, r ≠ 0 ∧ ∀ (x y : α), nndist (f x) (f y) = r * nndist x y) → α →ᵈ β

Alternative Dilation constructor when the distance hypothesis is over nndist

Defined in
Mathlib.Topology.MetricSpace.Dilation
Cited by
2 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpacePseudoMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Dilation.mkOfDistEq · cited by 2Dilation.mkOfDistEqDilation.mk_coe_of_nndist_eq · cited by 0Dilation.mk_coe_of_nndist…Dilation.coe_mkOfNNDistEq · cited by 0Dilation.coe_mkOfNNDistEqNNReal · cited by 4310NNRealPseudoMetricSpace · cited by 1550PseudoMetricSpaceNNDist.nndist · cited by 235NNDist.nndistDilation · cited by 44DilationDilation.mkOfNNDistEqCITED BYCITES

Cites4

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Cited by3

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