Mathlib Map

Theorems · Theorem · general topology

IsIsometricSMul.isometry_smul

∀ {M : Type u} (X : Type w) {inst : PseudoEMetricSpace X} {inst_1 : SMul M X} [self : IsIsometricSMul M X] (c : M),
  Isometry fun x => c • x
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
10 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
IsIsometricSMul

Around this declaration

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

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.