proposition: Lemma check_annot_set_CLAUSE : forall m cl wc (HCL : check_annot has_clause m cl) (EQ : Annot.elt cl = CLAUSE wc), check_annot has_watched_clause m (Annot.set cl wc).
proof: Proof. intros. destruct HCL; constructor; auto. unfold Annot.set, Annot.lift in *. rewrite EQ in *. auto. Qed.
imports: Cdcl.PatriciaR Cdcl.KeyInt Cdcl.ReifClasses Cdcl.Lib Bool Setoid ZifyBool ZArith Uint63 Lia List Cdcl.Syntax Cdcl.Clause