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Theorems · Theorem · general topology

IsometryEquiv.neg_toEquiv

∀ (G : Type v) [inst : AddGroup G] [inst_1 : PseudoEMetricSpace G] [inst_2 : IsIsometricVAdd G G]
  [inst_3 : IsIsometricVAdd Gᵃᵒᵖ G], (IsometryEquiv.neg G).toEquiv = Equiv.neg G
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
0 results in Mathlib
Foundations
Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupPseudoEMetricSpaceIsIsometricVAddIsIsometricVAdd
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AddGroup · cited by 4410AddGroupPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceEquiv.Perm · cited by 1375Equiv.PermAddOpposite · cited by 452AddOppositeIsIsometricVAdd · cited by 74IsIsometricVAddEquiv.neg · cited by 53Equiv.negIsometryEquiv.toEquiv · cited by 33IsometryEquiv.toEquivIsometryEquiv.neg · cited by 8IsometryEquiv.negIsometryEquiv.neg_toEquivCITED BYCITES

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