we restored the scripts of \lambda\delta version 1

[helm.git] / helm / coq-contribs / LAMBDA-TYPES / lift_tlt.v

diff --git a/helm/coq-contribs/LAMBDA-TYPES/lift_tlt.v b/helm/coq-contribs/LAMBDA-TYPES/lift_tlt.v
deleted file mode 100644 (file)
index 7319f32..0000000
--- a/helm/coq-contribs/LAMBDA-TYPES/lift_tlt.v
+++ /dev/null
@@ -1,87 +0,0 @@
-(*#* #stop file *)
-
-Require tlt_defs.
-Require lift_defs.
-
-      Hint discr : ltlc := Extern 4 (lt (weight_map (wadd ? ?) (lift (S ?) ? ?)) (wadd ? ? ?))
-                           Simpl; Rewrite <- lift_weight_add_O.
-
-      Hint discr : ltlc := Extern 4 (lt (weight_map ? (lift (0) (0) ?)) ?)
-                           Rewrite lift_r.
-
-   Section lift_tlt_props. (*************************************************)
-
-      Theorem lift_weight_map: (t:?; h,d:?; f:?)
-                               ((m:?) (le d m) -> (f m)=(0)) ->
-                               (weight_map f (lift h d t)) = (weight_map f t).
-      XElim t; Intros.
-(* case 1: TSort *)
-      XAuto.
-(* case 2: TLRef n *)
-      Apply (lt_le_e n d); Intros.
-(* case 2.1: n < d *)
-      Rewrite lift_lref_lt; XAuto.
-(* case 2.2: n >= d *)
-      Rewrite lift_lref_ge; [ Simpl | XAuto ].
-      Rewrite (H n); XAuto.
-(* case 3: TTail k *)
-      XElim k; Intros; LiftTailRw; Simpl.
-(* case 3.1: Bind *)
-      XElim b; [ Rewrite H; [ Idtac | XAuto ] | Idtac | Idtac ];
-      Rewrite H0; Intros; Try (LeLtGen; Rewrite H2; Simpl); XAuto.
-(* case 3.2: Flat *)
-      XAuto.
-      Qed.
-
-      Hints Resolve lift_weight_map : ltlc.
-
-      Theorem lift_weight : (t:?; h,d:?) (weight (lift h d t)) = (weight t).
-      Unfold weight; XAuto.
-      Qed.
-
-      Theorem lift_weight_add : (w:?; t:?; h,d:?; f,g:?)
-                                ((m:?) (lt m d) -> (g m) = (f m)) ->
-                                (g d) = w ->
-                                ((m:?) (le d m) -> (g (S m)) = (f m)) ->
-                                (weight_map f (lift h d t)) =
-                                (weight_map g (lift (S h) d t)).
-      XElim t; Intros.
-(* case 1: TSort *)
-      XAuto.
-(* case 2: TLRef *)
-      Apply (lt_le_e n d); Intros.
-(* case 2.1: n < d *)
-      Repeat Rewrite lift_lref_lt; Simpl; XAuto.
-(* case 2.2: n >= d *)
-      Repeat Rewrite lift_lref_ge; Simpl; Try Rewrite <- plus_n_Sm; XAuto.
-(* case 3: TTail k *)
-      XElim k; Intros; LiftTailRw; Simpl.
-(* case 1 : bind b *)
-      XElim b; Simpl;
-      Apply (f_equal nat);
-      (Apply (f_equal2 nat nat); [ XAuto | Idtac ]);
-      ( Apply H0; Simpl; Intros; Try (LeLtGen; Rewrite H4; Simpl); XAuto).
-(* case 2 : Flat *)
-      XAuto.
-      Qed.
-
-      Theorem lift_weight_add_O: (w:?; t:?; h:?; f:?)
-                                 (weight_map f (lift h (0) t)) =
-                                 (weight_map (wadd f w) (lift (S h) (0) t)).
-      Intros.
-      EApply lift_weight_add; XAuto.
-      Intros; Inversion H.
-      Qed.
-
-      Theorem lift_tlt_dx: (k:?; u,t:?; h,d:?)
-                           (tlt t (TTail k u (lift h d t))).
-      Unfold tlt; Intros.
-      Rewrite <- (lift_weight t h d).
-      Fold (tlt (lift h d t) (TTail k u (lift h d t))); XAuto.
-      Qed.
-
-   End lift_tlt_props.
-
-      Hints Resolve lift_tlt_dx : ltlc.
-
-(*#* #single *)