Theorem: LO.FirstOrder.Arith.Model.lt_iff_succ_le (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 : M
⊢ a < b ↔ a + 1 ≤ b
Tactic:
simp [le_iff_lt_succ]
State after:
no goals