Theorems · Theorem · general topology

nndist_smul

∀ {M : Type u} {X : Type w} [inst : PseudoMetricSpace X] [inst_1 : SMul M X] [IsIsometricSMul M X] (c : M) (x y : X),
  nndist (c • x) (c • 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

PseudoMetricSpaceSMulIsIsometricSMul