Theorems · Theorem · general topology

edist_vadd_left

∀ {M : Type u} {X : Type w} [inst : PseudoEMetricSpace X] [inst_1 : VAdd M X] [IsIsometricVAdd M X] (c : M) (x y : X),
  edist (c +ᵥ x) (c +ᵥ y) = edist x y

Defined in

Mathlib.Topology.MetricSpace.IsometricSMul

Cited by

0 results in Mathlib

Foundations

Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpaceVAddIsIsometricVAdd