∀ {R : Type u_4} [inst : Semiring R] {M : Type u_1} [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {N' : Type u_2}
  [inst_3 : AddCommGroup N'] [inst_4 : Module R N'] {ι : Type u_3} [inst_5 : Fintype ι] [inst_6 : DecidableEq ι],
  (let __src := ∑ σ, Equiv.Perm.sign σ • MultilinearMap.domDomCongr σ 0;
    { toFun := ⇑(∑ σ, Equiv.Perm.sign σ • MultilinearMap.domDomCongr σ 0), map_update_add' := ⋯, map_update_smul' := ⋯,
      map_eq_zero_of_eq' := ⋯ }) =
    0