Theorem: LO.FirstOrder.Arith.Model.sub_zero (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 a : M
⊢ a - 0 = a
Tactic:
simpa using sub_add_self_of_le (show 0 ≤ a from zero_le a)
State after:
no goals