∀ {𝕜 : Type u} {E : Type wE} {F : Type wF} {ι : Type v} [inst : NontriviallyNormedField 𝕜]
  [inst_1 : SeminormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : SeminormedAddCommGroup F]
  [inst_4 : NormedSpace 𝕜 F] [inst_5 : Fintype ι] {𝕜' : Type u_1} [inst_6 : NormedField 𝕜'] [inst_7 : NormedSpace 𝕜' F]
  [inst_8 : SMulCommClass 𝕜 𝕜' F], ContinuousAlternatingMap.instNormedSpace = ContinuousAlternatingMap.instNormedSpace