Theorem: Arith.HSemiformula.sigmaZero (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 : HSemiformula L ξ k (𝚫, 0)
⊢ Hierarchy 𝚺 0 p.val
Tactic:
simpa [val_sigma] using p.sigma.sigma_prop
State after:
no goals