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Theorems · Theorem · general topology

dist_sub_right

∀ {M : Type u} [inst : SubNegMonoid M] [inst_1 : PseudoMetricSpace M] [IsIsometricVAdd Mᵃᵒᵖ M] (a b c : M),
  dist (a - c) (b - c) = dist a b
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
1 results in Mathlib
Foundations
Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SubNegMonoidPseudoMetricSpaceIsIsometricVAdd
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Around this declaration

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

BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding' · cited by 2BoundedContinuousFunction…Real · cited by 25697RealPseudoMetricSpace · cited by 1550PseudoMetricSpaceDist.dist · cited by 1539Dist.distsub_eq_add_neg · cited by 1023sub_eq_add_negAddOpposite · cited by 452AddOppositeSubNegMonoid · cited by 79SubNegMonoidIsIsometricVAdd · cited by 74IsIsometricVAdddist_add_right · cited by 7dist_add_rightdist_sub_rightCITED BYCITES

Cites8

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Cited by1

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