Theorem: LO.FirstOrder.Arith.Model.sub_eq_zero_iff_le (Arithmetization/Basic/PeanoMinus.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* 𝐏𝐀⁻
a b c : M
⊢ ¬a - b = 0 ↔ ¬a ≤ b
Tactic:
simp [←pos_iff_ne_zero]
State after:
no goals