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Theorems · Theorem · general topology

IsometryEquiv.addLeft_symm

∀ {G : Type v} [inst : AddGroup G] [inst_1 : PseudoEMetricSpace G] [inst_2 : IsIsometricVAdd G G] (x : G),
  (IsometryEquiv.addLeft x).symm = IsometryEquiv.addLeft (-x)
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
0 results in Mathlib
Foundations
Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupPseudoEMetricSpaceIsIsometricVAdd
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AddGroup · cited by 4410AddGroupPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceIsometryEquiv · cited by 177IsometryEquivIsometryEquiv.symm · cited by 75IsometryEquiv.symmIsIsometricVAdd · cited by 74IsIsometricVAddIsometryEquiv.addLeft · cited by 3IsometryEquiv.addLeftIsometryEquiv.constVAdd_symm · cited by 1IsometryEquiv.constVAdd_s…IsometryEquiv.addLeft_symmCITED BYCITES

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