∀ {ι : Type u_1} {R : Type u_2} [inst : CommSemiring R] {M : ι → Type u_3} [inst_1 : (i : ι) → AddCommMonoid (M i)]
  [inst_2 : (i : ι) → Module R (M i)] {κ : ι → Type u_5} (b : (i : ι) → Module.Basis (κ i) R (M i)) {ι' : Type u_6}
  {N : Type u_7} [inst_3 : AddCommMonoid N] [inst_4 : Module R N] (b' : Module.Basis ι' R N) [inst_5 : Finite ι]
  [inst_6 : ∀ (i : ι), Finite (κ i)],
  Basis.multilinearMap b b' =
    {
      repr :=
        have this := Fintype.ofFinite ι;
        have this_1 := fun i => Fintype.ofFinite (κ i);
        ((LinearEquiv.multilinearMapCongrLeft fun i => (b i).repr.symm).trans
              (LinearEquiv.multilinearMapCongrRight R b'.repr)).trans
          MultilinearMap.freeFinsuppEquiv.symm }