Theorem: LO.FirstOrder.Arith.Model.mem_seqCons_iff (Arithmetization/ISigmaOne/HFS/Seq.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
i x z s : M
⊢ ⟪i, x⟫ ∈ s ⁀' z ↔ i = lh s ∧ x = z ∨ ⟪i, x⟫ ∈ s
Tactic:
simp [seqCons]
State after:
no goals