Theorem: LO.FirstOrder.Arith.Model.bexp_monotone_iff (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 i j : M
hi : i < ‖a‖
hj : j < ‖a‖
⊢ Exponential i (bexp a i)
Tactic:
simp [hi]
State after:
no goals

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 i j : M
hi : i < ‖a‖
hj : j < ‖a‖
⊢ Exponential j (bexp a j)
Tactic:
simp [hj]
State after:
no goals