simp [toICnf, run, StateT.run]
ν α : Type u_1
inst✝¹ : IndexType ν
inst✝ : LawfulIndexType ν
e : EncCNF ν α
P : PropPred ν
h : encodesProp e P
⊢ (∃ τ, τ ⊨ P) ↔ ∃ τ, τ ⊨ Cnf.toPropFun (toICnf e)
ν α : Type u_1
inst✝¹ : IndexType ν
inst✝ : LawfulIndexType ν
e : EncCNF ν α
P : PropPred ν
h : encodesProp e P
⊢ (∃ τ, P τ) ↔
    ∃ τ, τ ⊨ Cnf.toPropFun (↑e (LawfulState.new' (IndexType.card ν) (Equiv.toEmbedding IndexType.toEquiv))).2.cnf