Theorem: LO.FirstOrder.Arith.Model.sqrt_three (Arithmetization/Basic/IOpen.lean)

State before:
M : Type u_1
inst✝⁶ : Zero M
inst✝⁵ : One M
inst✝⁴ : Add M
inst✝³ : Mul M
inst✝² : LT M
inst✝¹ : M ⊧ₘ* 𝐏𝐀⁻
inst✝ : M ⊧ₘ* 𝐈open
⊢ 1 * 1 ≤ 3 ∧ 3 < (1 + 1) * (1 + 1)
Tactic:
simp [one_add_one_eq_two, two_mul_two_eq_four, ←three_add_one_eq_four]
State after:
no goals