Mathlib Map

Theorems · Theorem · general topology

Isometry.toDilation_toFun

∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (f : α → β)
  (hf : Isometry f) (a : α), (Isometry.toDilation f hf) a = f a
Defined in
Mathlib.Topology.MetricSpace.Dilation
Cited by
1 results in Mathlib
Foundations
Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Isometry.toDilation_ratio · cited by 1Isometry.toDilation_ratioDFunLike.coe · cited by 62936DFunLike.coePseudoEMetricSpace · cited by 1536PseudoEMetricSpaceIsometry · cited by 230IsometryDilation · cited by 44DilationIsometry.toDilation · cited by 8Isometry.toDilationIsometry.toDilation_toFunCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.