∀ (α : Type u_1) {A : Type u_2} (𝕜 : Type u_3) [inst : TopologicalSpace α] [inst_1 : DiscreteTopology α]
  [inst_2 : NormedRing A] [inst_3 : NormOneClass A] [inst_4 : NontriviallyNormedField 𝕜] [inst_5 : NormedAlgebra 𝕜 A]
  (_k : 𝕜),
  RingEquiv.lpBCF.toFun ((algebraMap 𝕜 ↥(lp (fun x => A) ⊤)) _k) =
    RingEquiv.lpBCF.toFun ((algebraMap 𝕜 ↥(lp (fun x => A) ⊤)) _k)