∀ {α : Type u_1} {A : Type u_4} {𝕜 : Type u_5} [inst : TopologicalSpace α] [inst_1 : DiscreteTopology α]
  [inst_2 : NormedRing A] [inst_3 : NormOneClass A] [inst_4 : NontriviallyNormedField 𝕜] [inst_5 : NormedAlgebra 𝕜 A]
  (f : ↥(lp (fun x => A) ⊤)), ⇑((AlgEquiv.lpBCF α 𝕜) f) = ↑f