Theorems · Theorem · general topology

edist_inv_inv

∀ {G : Type v} [inst : Group G] [inst_1 : PseudoEMetricSpace G] [IsIsometricSMul G G] [IsIsometricSMul Gᵐᵒᵖ G]
  (a b : G), edist a⁻¹ b⁻¹ = edist a b

Defined in

Mathlib.Topology.MetricSpace.IsometricSMul

Cited by

6 results in Mathlib

Foundations

Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupPseudoEMetricSpaceIsIsometricSMulIsIsometricSMul