Theorems · Theorem · general topology

dist_neg_neg

∀ {G : Type v} [inst : AddGroup G] [inst_1 : PseudoMetricSpace G] [IsIsometricVAdd G G] [IsIsometricVAdd Gᵃᵒᵖ G]
  (a b : G), dist (-a) (-b) = dist a b

Defined in

Mathlib.Topology.MetricSpace.IsometricSMul

Cited by

3 results in Mathlib

Foundations

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

Assumes

AddGroupPseudoMetricSpaceIsIsometricVAddIsIsometricVAdd