fact: Definition lift_s_semantically (d:D) (P : Σ_preds) (v : Vector.t D (ar_preds P)) : Prop := sat (rho_from_vec v d) (s (tabulate_vars (ar_preds P))).
imports: Undecidability.FOL.Syntax.Facts Undecidability.FOL.Syntax.Theories Undecidability.FOL.Semantics.Tarski.FragmentCore Undecidability(Shared.ListAutomation) Vector Lia