(** h could be an analysis of g iff g is included in h and
    h is stable under analysis *)
Definition analysis_cond (g h : hedge) := inclusion g h /\ stable_analysis h.

(* Specifications: *)
Lemma analysis_seq_incl_analysis_cond : forall g h : hedge, analysis_cond g h -> forall n : nat, inclusion (analysis_seq g n) h.