Theorem: LO.FirstOrder.Arith.Model.sub_spec_of_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
h : a ≤ b
⊢ a - b = 0
Tactic:
rcases lt_or_eq_of_le h with (lt | rfl) <;> simp [sub_spec_of_lt, *]
State after:
no goals