Mathlib Map

Theorems · Theorem · general topology

IsometryClass.continuous

∀ {F : Type u_1} {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : FunLike F α β] [IsometryClass F α β] (f : F), Continuous ⇑f
Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
0 results in Mathlib
Foundations
Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpaceFunLikeIsometryClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeContinuous · cited by 2592ContinuousFunLike · cited by 2560FunLikePseudoEMetricSpace · cited by 1536PseudoEMetricSpaceIsometry.continuous · cited by 23Isometry.continuousIsometryClass · cited by 19IsometryClassIsometryClass.isometry · cited by 12IsometryClass.isometryIsometryClass.continuousCITED 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.