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 suspend_lockRes: forall m tp tp' i (pff: containsThread tp i) (Hsuspend: suspend_thread m pff tp'), lockRes tp = lockRes tp'.