∀ {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_7} {M₂ : Type u_10} [inst_5 : AddCommMonoid M₂]
  [inst_6 : Module R M₂] (f : M [⋀^ι]→ₗ[R] N) (g : M₂ ≃ₗ[R] M), (f.compLinearMap ↑g = 0) = (f = 0)