proposition: Fact hfs_trans_otriple_inv x y z : ⟬⟬x,y⟭,z⟭ ∈ t -> ⟬x,y⟭ ∈ t /\ z ∈ t.
proof: Proof. Proof using Hp. intros H. apply hfs_trans_opair_inv, proj2, hfs_trans_pair_inv in H. auto. Qed.
imports: List Arith Lia Max Wellfounded Setoid Eqdep_dec Bool Undecidability.Shared.Libs.DLW.Utils(utils_tac utils_list finite) Undecidability.Shared.Libs.DLW.Vec(pos vec) Undecidability.Shared.Libs.DLW.Wf(wf_finite wf_chains) Undecidability.FOL.TRAKHTENBROT(notations fol_ops membership btree)