definability
case hP
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
a : M
⊢ 𝚷₁-Predicate fun {k} => ∀ {s : M}, s ∈ a ^ˢ k ↔ Seq s ∧ lh s = k ∧ ∀ i < s, ∀ z < s, ⟪i, z⟫ ∈ s → z ∈ a
no goals