(*#* #stop file *)

      Tactic Definition XAuto := Auto with ltlc.

      Tactic Definition XEAuto := EAuto with ltlc.

      Tactic Definition XDEAuto d := EAuto d with ltlc.

      Tactic Definition XElimUsing e v :=
         Try Intros until v; Elim v using e; Try Clear v.

      Tactic Definition XElim v := Try Intros until v; Elim v; Try Clear v.

      Tactic Definition XCase v := Try Intros until v; Case v; Try Clear v.

      Tactic Definition XReplaceIn Z0 y1 y2 :=
         Cut y1=y2; [ Intros Z; Rewrite Z in Z0; Clear Z | XAuto ].

      Theorem insert_eq: (S:Set; x:S; P:S->Prop; G:Prop)
                         ((y:S) (P y) -> y = x -> G) -> (P x) -> G.
      EAuto. Qed.

      Tactic Definition InsertEq H y :=
         Pattern 1 y in H; Match Context With [ _: (?1 y) |- ? ] ->
         Apply insert_eq with x:=y P:=?1;
         [ Clear H; Intros until 1 | Pattern y; Apply H ].

      Theorem unintro : (A:Set; a:A; P:A->Prop) ((x:A) (P x)) -> (P a).
      Auto.
      Qed.

      Tactic Definition UnIntro Last H :=
         Move H after Last;
         Match Context With [ y: ?1 |- ?2 ] ->
            Apply (unintro ?1 y); Clear y.

      Tactic Definition NonLinear :=
         Match Context With
            [ H: ?1 |- ? ] -> Cut ?1; [ Intros | XAuto ].

      Tactic Definition XRewrite x :=
         Match Context With
            | [ H0: x = ? |- ? ] -> Try Rewrite H0
            | [ H0: ? = x |- ? ] -> Try Rewrite <- H0
            | _                  -> Idtac.