Theorem: LO.FirstOrder.Arith.Model.mem_sInter_iff_of_pos (Arithmetization/ISigmaOne/HFS/Basic.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
x s : M
h : s ≠ ∅
⊢ x ∈ ⋂ʰᶠ s ↔ ∀ t ∈ s, x ∈ t
Tactic:
simp [mem_sInter_iff, h]
State after:
no goals