Theorems · Definition · general topology

IsometryEquiv.symm

{α : Type u} → {β : Type v} → [inst : PseudoEMetricSpace α] → [inst_1 : PseudoEMetricSpace β] → α ≃ᵢ β → β ≃ᵢ α

The inverse of an isometric isomorphism, as an isometric isomorphism.

Defined in

Mathlib.Topology.MetricSpace.Isometry

Cited by

75 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace