Theorem: LO.FirstOrder.Arith.Model.succ_le_double_of_pos (Arithmetization/Vorspiel/Lemmata.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* 𝐏𝐀⁻
a✝ b c a : M
h : 0 < a
⊢ a + 1 ≤ 2 * a
Tactic:
simpa [two_mul] using pos_iff_one_le.mp h
State after:
no goals