Notation "x < y" := (x < y)%nat.Instance LockInvsAndResources : Resources := { res := rmap; lock_info := mpred * option rmap }.(** The Lock Resources Set *)

  Definition is_lock t:= fun loc => AMap.mem loc (lset t).Notation C:= (semC).Notation G:= (semG).Notation tid:= nat.Notation lockMap:= (AMap.t lock_info).(** Memories*)
    Definition richMem: Type:= juicy_mem.Definition dryMem: richMem -> mem:= m_dry.(** Environment and Threadwise semantics *)
    (* This all comes from the SEM. *)
    (*Parameter G : Type.
    Parameter Sem : CoreSemantics G code mem.*)
    Notation the_sem := (csem (event_semantics.msem semSem)).Notation thread_pool := (@ThreadPool.t _ _ OrdinalThreadPool).(** Machine Variables*)
    Definition lp_id : tid:= (0)%nat.(* This is similar to the coherence of juicy memories, *
     * but for entire machines. It is slighly weaker in one way:
     * - acc_coh is looser and only talks about maxcoh.
     * - alse acc_coh  might me redundant with max_coh IDK... x*)
    Record mem_cohere' m phi :=
      { cont_coh: contents_cohere m phi;
        (*acc_coh: access_cohere m phi;*)
        (*acc_coh: access_cohere' m phi;*)
        max_coh: max_access_cohere m phi;
        all_coh: alloc_cohere m phi
      }.(* This is similar to the coherence of juicy memories, *
     * but for entire machines. It is slighly weaker in one way:
     * - acc_coh is looser and only talks about maxcoh.
     * - alse acc_coh  might me redundant with max_coh IDK... x*)
    Record mem_cohere' m phi :=
      { cont_coh: contents_cohere m phi;
        (*acc_coh: access_cohere m phi;*)
        (*acc_coh: access_cohere' m phi;*)
        max_coh: max_access_cohere m phi;
        all_coh: alloc_cohere m phi
      }.(* This is similar to the coherence of juicy memories, *
     * but for entire machines. It is slighly weaker in one way:
     * - acc_coh is looser and only talks about maxcoh.
     * - alse acc_coh  might me redundant with max_coh IDK... x*)
    Record mem_cohere' m phi :=
      { cont_coh: contents_cohere m phi;
        (*acc_coh: access_cohere m phi;*)
        (*acc_coh: access_cohere' m phi;*)
        max_coh: max_access_cohere m phi;
        all_coh: alloc_cohere m phi
      }.(* This is similar to the coherence of juicy memories, *
     * but for entire machines. It is slighly weaker in one way:
     * - acc_coh is looser and only talks about maxcoh.
     * - alse acc_coh  might me redundant with max_coh IDK... x*)
    Record mem_cohere' m phi :=
      { cont_coh: contents_cohere m phi;
        (*acc_coh: access_cohere m phi;*)
        (*acc_coh: access_cohere' m phi;*)
        max_coh: max_access_cohere m phi;
        all_coh: alloc_cohere m phi
      }.Definition mem_thcohere (tp : thread_pool) m :=
      forall {tid} (cnt: containsThread tp tid), mem_cohere' m (getThreadR cnt).Definition mem_lock_cohere (ls:lockMap) m:=
      forall loc R rm, AMap.find loc ls = Some (R, Some rm) -> mem_cohere' m rm.

Lemma length_enum n : List.length (enums_equality.enum n) = n.