Section completeness.
(* Not sure how to make this one work over infinite models Need some replacement for the quotient below *)
Hint Resolve finite_t_pos : core.
Variable (A : 𝔽)
(HA1 : incl (fol_syms A) ls)
(HA2 : incl (fol_rels A) lr).

Theorem Σ_noeq_complete :
fo_form_fin_dec_SAT (Σ_noeq A)
-> fo_form_fin_dec_eq_SAT e H_ae A.