Ltac jmstep_inv :=
  match goal with
  | H : JuicyMachine.start_thread _ _ _ _  |- _ => inversion H
  | H : JuicyMachine.resume_thread _ _ _   |- _ => inversion H
  | H : JuicyMachine.threadStep _ _ _ _ _           |- _ => inversion H
  | H : JuicyMachine.suspend_thread _ _ _ |- _ => inversion H
  | H : JuicyMachine.syncStep _ _ _ _ _ _           |- _ => inversion H
(*  | H : JuicyMachine.threadHalted _                   |- _ => inversion H*)
  | H : JuicyMachine.schedfail _         |- _ => inversion H
  end; try subst.Ltac getThread_inv :=
  match goal with
  | [ H : getThreadC ?i _ _ = _ ,
          H2 : getThreadC ?i _ _ = _ |- _ ] =>
    pose proof (getThreadC_fun _ _ _ _ _ _ _ H H2)
  | [ H : getThreadR ?i _ _ = _ ,
          H2 : getThreadR ?i _ _ = _ |- _ ] =>
    pose proof (getThreadR_fun _ _ _ _ _ _ _ H H2)
  end.Ltac substwith x y := assert (x = y) by apply proof_irr; subst x.

Lemma lockSet_Writable_updThread_updLockSet ge m m' i (tp : jstate ge) b ofs ophi ophi' c' phi' z cnti (Hcmpt : mem_compatible tp m) (His_unlocked : AMap.find (elt:=option rmap) (b, Ptrofs.intval ofs) (lset tp) = Some ophi) (Hlt' : permMapLt (setPermBlock (Some Writable) b (Ptrofs.intval ofs) (juice2Perm_locks (getThreadR i tp cnti) m) LKSIZE_nat) (getMaxPerm m)) (Hstore : Mem.store Mint32 (restrPermMap Hlt') b (Ptrofs.intval ofs) (Vint z) = Some m') : lockSet_Writable (lset (updThread i (updLockSet tp (b, Ptrofs.intval ofs) ophi') cnti c' phi')) m'.