∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NormedField 𝕜] [inst_1 : NonUnitalNormedRing A] [inst_2 : NormedSpace 𝕜 A]
  [inst_3 : IsScalarTower 𝕜 A A] [inst_4 : SMulCommClass 𝕜 A A] (R : Type u_3) [inst_5 : CommSemiring R]
  [inst_6 : Algebra R 𝕜] [inst_7 : DistribMulAction R A] [inst_8 : IsScalarTower R 𝕜 A]
  (a : WithLp 1 (Unitization 𝕜 A)), (WithLp.unitizationAlgEquiv R) a = a.ofLp