Theorem: LO.FirstOrder.Arith.Model.length_mul_pow2_add_of_lt (Arithmetization/ISigmaZero/Exponential/Log.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
a p b : M
pos : 0 < a
pp : Pow2 p
hb : b < p
⊢ ‖a * p + b‖ = ‖a‖ + log p
Tactic:
simp [length_of_pos, pos, pp.pos, log_mul_pow2_add_of_lt pos pp hb, add_right_comm (log a) (log p) 1]
State after:
no goals