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Theorems · Theorem · general topology

IsometryEquiv.subLeft_apply

∀ {G : Type v} [inst : AddGroup G] [inst_1 : PseudoEMetricSpace G] [inst_2 : IsIsometricVAdd G G]
  [inst_3 : IsIsometricVAdd Gᵃᵒᵖ G] (c b : G), (IsometryEquiv.subLeft c) b = c - b
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
1 results in Mathlib
Foundations
Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupPseudoEMetricSpaceIsIsometricVAddIsIsometricVAdd
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

QuotientAddGroup.norm_mk · cited by 2QuotientAddGroup.norm_mkDFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceAddOpposite · cited by 452AddOppositeIsometryEquiv · cited by 177IsometryEquivIsIsometricVAdd · cited by 74IsIsometricVAddIsometryEquiv.subLeft · cited by 4IsometryEquiv.subLeftIsometryEquiv.subLeft_applyCITED BYCITES

Cites7

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Cited by1

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