simp
case inl
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* 𝐈𝚫₀
i : M
⊢ i = ‖0‖ ↔ (0 < 0 → ∃ k ≤ 0, k = log 0 ∧ i = k + 1) ∧ (0 = 0 → i = 0)
no goals