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Theorems · Theorem · general topology

nndist_add_right

∀ {M : Type u} [inst : PseudoMetricSpace M] [inst_1 : Add M] [IsIsometricVAdd Mᵃᵒᵖ M] (a b c : M),
  nndist (a + c) (b + c) = nndist a b
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
1 results in Mathlib
Foundations
Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpaceAddIsIsometricVAdd
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Around this declaration

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

nndist_sub_right · cited by 0nndist_sub_rightNNReal · cited by 4310NNRealPseudoMetricSpace · cited by 1550PseudoMetricSpaceAddOpposite · cited by 452AddOppositeNNDist.nndist · cited by 235NNDist.nndistAddOpposite.op · cited by 192AddOpposite.opIsIsometricVAdd · cited by 74IsIsometricVAddnndist_vadd · cited by 2nndist_vaddnndist_add_rightCITED BYCITES

Cites7

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Cited by1

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