proposition: Fact fo_term_subst_fix_1 σ s v : (@in_fot s v)⟬σ⟭ = in_fot (vec_map (fo_term_subst σ) v).
proof: Proof. trivial. Qed.
imports: List Arith Lia Eqdep_dec Undecidability.Shared.Libs.DLW.Utils(utils_tac utils_list utils_nat finite) Undecidability.Shared.Libs.DLW.Vec(pos vec) Undecidability.FOL.TRAKHTENBROT(notations utils decidable fol_ops fo_sig)