Theorem: LO.FirstOrder.Arith.Model.length_mul_exp_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* 𝐈𝚺₁
a b : M
pos : 0 < a
i : M
hb : b < exp i
⊢ ‖a * exp i + b‖ = ‖a‖ + i
Tactic:
simp [length_mul_pow2_add_of_lt pos (exp_pow2 i) hb]
State after:
no goals