Theorems · Theorem · functional analysis

Unitary.mulLeft_trans_mulLeft

∀ {R : Type u_1} {A : Type u_2} [inst : NormedRing A] [inst_1 : StarRing A] [inst_2 : CStarRing A] [inst_3 : Ring R]
  [inst_4 : Module R A] [inst_5 : SMulCommClass R A A] (u v : ↥(unitary A)),
  ((Unitary.mulLeft R A) u).trans ((Unitary.mulLeft R A) v) = (Unitary.mulLeft R A) (v * u)

Defined in

Mathlib.Analysis.CStarAlgebra.Unitary.Maps

Cited by

0 results in Mathlib

Foundations

Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedRingStarRingCStarRingRingModuleSMulCommClass