Theorem: Arith.HSemiformula.ProperOn.of_zero (Arithmetization/Definability/Hierarchy.lean)

State before:
L : Language
inst✝⁷ : L.ORing
ξ : Type v
n : ℕ
M : Type u_1
inst✝⁶ : Zero M
inst✝⁵ : One M
inst✝⁴ : Add M
inst✝³ : Mul M
inst✝² : LT M
inst✝¹ : Structure L M
inst✝ : Structure.ORing L M
k : ℕ
Γ' : SigmaPiDelta
p : HSemisentence L k (Γ', 0)
m : ℕ
⊢ ProperOn M (ofZero p (𝚫, m))
Tactic:
simp [ProperOn, ofZero]
State after:
no goals