∀ {𝕜 : Type u_5} {E : Type u_1} {F : Type u_4} {G : Type u_2} {ι : Type u_3} [inst : NontriviallyNormedField 𝕜]
  [inst_1 : SeminormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : SeminormedAddCommGroup F]
  [inst_4 : NormedSpace 𝕜 F] [inst_5 : SeminormedAddCommGroup G] [inst_6 : NormedSpace 𝕜 G] [inst_7 : Fintype ι]
  (g : F ≃L[𝕜] G), Continuous ⇑((ContinuousLinearMap.compContinuousAlternatingMapCLM 𝕜 E G F) ↑g.symm)