Corollary gsoThreadC_suspend:
    forall m tp tp' i j (cnt: containsThread tp i) (cntj: containsThread tp j)
      (cntj': containsThread tp' j) (Hneq: i <> j)
      (Hsuspend: suspend_thread m cnt tp'),
      getThreadC cntj = getThreadC cntj'.

Lemma step_mem_compatible: forall U tr tp m U' tr' tp' m' (Hstep: MachStep (U, tr, tp) m (U', tr', tp') m'), mem_compatible tp m.