we restored the scripts of \lambda\delta version 1

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

diff --git a/helm/coq-contribs/LAMBDA-TYPES/lift_props.v b/helm/coq-contribs/LAMBDA-TYPES/lift_props.v
deleted file mode 100644 (file)
index 366ad99..0000000
--- a/helm/coq-contribs/LAMBDA-TYPES/lift_props.v
+++ /dev/null
@@ -1,43 +0,0 @@
-(*#* #stop file *)
-
-Require lift_defs.
-
-   Section lift_props. (*****************************************************)
-
-      Theorem lift_free: (t:?; h,k,d,e:?) (le e (plus d h)) -> (le d e) ->
-                         (lift k e (lift h d t)) = (lift (plus k h) d t).
-      XElim t; Intros.
-(* case 1: TSort *)
-      Repeat Rewrite lift_sort; XAuto.
-(* case 2: TLRef n *)
-      Apply (lt_le_e n d); Intros.
-(* case 2.1: n < d *)
-      Repeat Rewrite lift_lref_lt; XEAuto.
-(* case 2.2: n >= d *)
-      Repeat Rewrite lift_lref_ge; XEAuto.
-(* case 3: TTail k *)
-      LiftTailRw; XAuto.
-      Qed.
-
-      Theorem lift_d : (t:?; h,k,d,e:?) (le e d) ->
-                       (lift h (plus k d) (lift k e t)) = (lift k e (lift h d t)).
-      XElim t; Intros.
-(* case 1: TSort *)
-      Repeat Rewrite lift_sort; XAuto.
-(* case 2: TLRef n *)
-      Apply (lt_le_e n e); Intros.
-(* case 2.1: n < e *)
-      Cut (lt n d); Intros; Repeat Rewrite lift_lref_lt; XEAuto.
-(* case 2.2: n >= e *)
-      Rewrite lift_lref_ge; [ Idtac | XAuto ].
-      Rewrite plus_sym; Apply (lt_le_e n d); Intros.
-(* case 2.2.1: n < d *)
-      Do 2 (Rewrite lift_lref_lt; [ Idtac | XAuto ]).
-      Rewrite lift_lref_ge; XAuto.
-(* case 2.2.2: n >= d *)
-      Repeat Rewrite lift_lref_ge; XAuto.
-(* case 3: TTail k *)
-      LiftTailRw; SRw; XAuto.
-      Qed.
-
-   End lift_props.