proposition: Fact fol_subst_bigop c l A σ : (fol_bigop c A l)⦃σ⦄ = fol_bigop c (A⦃σ⦄) (map (fol_subst σ) l).
proof: Proof. induction l; simpl; f_equal; auto. Qed.
imports: List Arith Lia Undecidability.Shared.Libs.DLW.Utils(utils_tac utils_list utils_nat finite) Undecidability.Shared.Libs.DLW.Vec(pos vec) Undecidability.FOL.TRAKHTENBROT(notations utils fol_ops fo_sig fo_terms) Undecidability.Shared.ListAutomation