Theorem: LO.FirstOrder.Arith.Model.PPow2.sq_ne_four (Arithmetization/ISigmaZero/Exponential/PPow2.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
i : M
hi : PPow2 i
ne2 : i ≠ 2
⊢ i ^ 2 ≠ 4
Tactic:
simpa [two_pow_two_eq_four] using ne_of_gt (sq_lt_sq.mpr (hi.two_lt ne2))
State after:
no goals