∀ {R : Type uR} {M₂ : Type v₂} {M₃ : Type v₃} [inst : Semiring R] [inst_1 : AddCommMonoid M₂]
  [inst_2 : AddCommMonoid M₃] [inst_3 : Module R M₂] [inst_4 : Module R M₃] {ι₁ : Type u_1} {ι₂ : Type u_2}
  (σ : ι₁ ≃ ι₂) (m : MultilinearMap R (fun x => M₂) M₃),
  MultilinearMap.domDomCongr σ m = { toFun := fun v => m fun i => v (σ i), map_update_add' := ⋯, map_update_smul' := ⋯ }