Theorems · Theorem · general topology

IsometryEquiv.constSMul_apply

∀ {G : Type v} {X : Type w} [inst : PseudoEMetricSpace X] [inst_1 : Group G] [inst_2 : MulAction G X]
  [inst_3 : IsIsometricSMul G X] (c : G) (x : X), (IsometryEquiv.constSMul c) x = c • x

Defined in

Mathlib.Topology.MetricSpace.IsometricSMul

Cited by

0 results in Mathlib

Foundations

Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpaceGroupMulActionIsIsometricSMul