∀ {R : Type u_1} {E : Type u_2} [inst : Semiring R] [inst_1 : InvolutiveStar R] [inst_2 : AddCommMonoid E]
  [inst_3 : Module R E] [inst_4 : StarAddMonoid E] [inst_5 : StarModule R E] [inst_6 : TopologicalSpace E]
  [inst_7 : ContinuousStar E],
  star (WithConv.toConv (ContinuousLinearMap.id R E)) = WithConv.toConv (ContinuousLinearMap.id R E)