Theorems · Theorem · general topology

IsometryEquiv.mulRight_toEquiv

∀ {G : Type v} [inst : Group G] [inst_1 : PseudoEMetricSpace G] [inst_2 : IsIsometricSMul Gᵐᵒᵖ G] (c : G),
  (IsometryEquiv.mulRight c).toEquiv = Equiv.mulRight c

Defined in: Mathlib.Topology.MetricSpace.IsometricSMul
Cited by: 0 results in Mathlib
Foundations: Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group PseudoEMetricSpace IsIsometricSMul

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites8

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

Groupstatement and proof · cited by 6,238
PseudoEMetricSpacestatement and proof · cited by 1,536
Equiv.Permstatement · cited by 1,375
MulOppositestatement and proof · cited by 1,135
IsIsometricSMulstatement and proof · cited by 74
IsometryEquiv.toEquivstatement and proof · cited by 33
Equiv.mulRightstatement · cited by 21
IsometryEquiv.mulRightstatement and proof · cited by 4

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.