∀ (R : Type u_1) [inst : Semiring R] {M : Type u_2} [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (N : Type u_3)
  [inst_3 : AddCommMonoid N] [inst_4 : Module R N] (ι : Type u_4) {M₂ : Type u_5} [inst_5 : AddCommMonoid M₂]
  [inst_6 : Module R M₂] (e : M ≃ₗ[R] M₂) (f : M [⋀^ι]→ₗ[R] N), (f.compLinearMap ↑e.symm).compLinearMap ↑e = f