∀ (K : Type u_3) (M : Type u_5) [inst : Field K] [inst_1 : AddCommGroup M] [inst_2 : Module K M] (a : K) (ha : a ≠ 0)
  (a_1 : M), (LinearEquiv.smulOfNeZero K M a ha).symm a_1 = (Units.mk0 a ha)⁻¹ • a_1