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Theorems · Theorem · general topology

nndist_neg_neg

∀ {G : Type v} [inst : AddGroup G] [inst_1 : PseudoMetricSpace G] [IsIsometricVAdd G G] [IsIsometricVAdd Gᵃᵒᵖ G]
  (a b : G), nndist (-a) (-b) = nndist a b
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
1 results in Mathlib
Foundations
Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupPseudoMetricSpaceIsIsometricVAddIsIsometricVAdd
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Around this declaration

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

nndist_sub_left · cited by 0nndist_sub_leftAddGroup · cited by 4410AddGroupNNReal · cited by 4310NNRealPseudoMetricSpace · cited by 1550PseudoMetricSpaceAddOpposite · cited by 452AddOppositeNNDist.nndist · cited by 235NNDist.nndistIsIsometricVAdd · cited by 74IsIsometricVAddIsometryEquiv.neg · cited by 8IsometryEquiv.negIsometryEquiv.nndist_eq · cited by 3IsometryEquiv.nndist_eqnndist_neg_negCITED BYCITES

Cites8

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Cited by1

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