Mathlib Map

Theorems · Theorem · general topology

IsometryClass.toIsometryEquiv_injective

∀ {F : Type u_1} {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : EquivLike F α β] [inst_3 : IsometryClass F α β], Function.Injective IsometryClass.toIsometryEquiv
Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
0 results in Mathlib
Foundations
Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpaceEquivLikeIsometryClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

PseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDFunLike.congr_fun · cited by 288DFunLike.congr_funDFunLike.ext · cited by 240DFunLike.extIsometryEquiv · cited by 177IsometryEquivEquivLike · cited by 165EquivLikeIsometryClass · cited by 19IsometryClassIsometryClass.toIsometryEquiv · cited by 2IsometryClass.toIsometryE…IsometryClass.toIsometryEquiv…CITED BYCITES

Cites7

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.