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Theorems · Theorem · general topology

nndist_vadd

∀ {M : Type u} {X : Type w} [inst : PseudoMetricSpace X] [inst_1 : VAdd M X] [IsIsometricVAdd M X] (c : M) (x y : X),
  nndist (c +ᵥ x) (c +ᵥ y) = nndist x y
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
2 results in Mathlib
Foundations
Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpaceVAddIsIsometricVAdd
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Around this declaration

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

nndist_add_right · cited by 1nndist_add_rightnndist_add_left · cited by 1nndist_add_leftNNReal · cited by 4310NNRealHVAdd.hVAdd · cited by 1820HVAdd.hVAddPseudoMetricSpace · cited by 1550PseudoMetricSpaceVAdd · cited by 616VAddNNDist.nndist · cited by 235NNDist.nndistIsIsometricVAdd · cited by 74IsIsometricVAddIsIsometricVAdd.isometry_vadd · cited by 10IsIsometricVAdd.isometry_…Isometry.nndist_eq · cited by 7Isometry.nndist_eqnndist_vaddCITED BYCITES

Cites8

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Cited by2

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