simpa [exp_inj.eq_iff] using
  lenbit_add_pow2_iff_of_not_lenbit (exp_pow2 i) (exp_pow2 j) h
case neg
M : Type u_1
inst✝⁵ : Zero M
inst✝⁴ : One M
inst✝³ : Add M
inst✝² : Mul M
inst✝¹ : LT M
inst✝ : M ⊧ₘ* 𝐈𝚺₁
i j a : M
h : j ∉ a
⊢ i ∈ a + exp j ↔ i = j ∨ i ∈ a
no goals