Theorem: LO.FirstOrder.Arith.Model.length_eq_zero_iff (Arithmetization/ISigmaZero/Exponential/Log.lean)

State before:
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
a : M
⊢ ¬‖a‖ = 0 ↔ ¬a = 0
Tactic:
simp [←pos_iff_ne_zero]
State after:
no goals