Theorem: LO.FirstOrder.Arith.Model.lt_trans (Logic/FirstOrder/Arith/PeanoMinus.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⁻
⊢ ∀ (x y z : M), x < y → y < z → x < z
Tactic:
simpa[models_iff] using ModelsTheory.models M Theory.peanoMinus.ltTrans
State after:
no goals