simpa [HSemiformula.rew] using hP.proper.rew Rew.emb v
case mkDelta
L : Language
inst✝⁹ : L.ORing
ξ : Type v
n : ℕ
M : Type u_1
inst✝⁸ : Zero M
inst✝⁷ : One M
inst✝⁶ : Add M
inst✝⁵ : Mul M
inst✝⁴ : LT M
inst✝³ : M ⊧ₘ* 𝐏𝐀⁻
inst✝² : Structure L M
inst✝¹ : Structure.ORing L M
inst✝ : Structure.Monotone L M
Γ : HierarchySymbol
k : ℕ
P Q : (Fin k → M) → Prop
snd✝ : ℕ
v : Fin k → M
a✝¹ : HSemiformula L Empty k (𝚺, snd✝)
a✝ : HSemiformula L Empty k (𝚷, snd✝)
hP : Defined P (a✝¹.mkDelta a✝)
⊢ (Semiformula.Evalm M v id) (HSemiformula.rew Rew.emb (a✝¹.mkDelta a✝)).sigma.val ↔
    (Semiformula.Evalm M v id) (HSemiformula.rew Rew.emb (a✝¹.mkDelta a✝)).pi.val
no goals