we restored the scripts of \lambda\delta version 1

[helm.git] / helm / coq-contribs / LAMBDA-TYPES / pr2_subst1.v

diff --git a/helm/coq-contribs/LAMBDA-TYPES/pr2_subst1.v b/helm/coq-contribs/LAMBDA-TYPES/pr2_subst1.v
deleted file mode 100644 (file)
index 5c73028..0000000
--- a/helm/coq-contribs/LAMBDA-TYPES/pr2_subst1.v
+++ /dev/null
@@ -1,48 +0,0 @@
-(*#* #stop file *)
-
-Require subst1_defs.
-Require subst1_confluence.
-Require drop_props.
-Require pr0_subst1.
-Require pr2_defs.
-
-   Section pr2_subst1_props. (***********************************************)
-
-      Theorem pr2_delta1: (c,d:?; u:?; i:?) (drop i (0) c (CTail d (Bind Abbr) u)) ->
-                          (t1,t2:?) (pr0 t1 t2) -> (t:?) (subst1 i u t2 t) -> 
-                         (pr2 c t1 t).
-      Intros; XElim H1; Clear t; XEAuto.
-      Qed.
-
-      Hints Resolve pr2_delta1 : ltlc.
-
-      Theorem pr2_subst1: (c,e:?; v:?; i:?) (drop i (0) c (CTail e (Bind Abbr) v)) ->
-                          (t1,t2:?) (pr2 c t1 t2) ->
-                          (w1:?) (subst1 i v t1 w1) ->
-                          (EX w2 | (pr2 c w1 w2) & (subst1 i v t2 w2)).
-     Intros until 2; XElim H0; Intros; 
-     Pr0Subst1.
-(* case 1: pr2_free *)
-     XEAuto.
-(* case 2: pr2_delta *)
-     Apply (neq_eq_e i i0); Intros.
-(* case 2.1: i <> i0 *)
-     Subst1Confluence; XEAuto.
-(* case 2.2: i = i0 *)
-     Rewrite <- H4 in H0; Rewrite <- H4 in H2; Clear H4 i0.
-     DropDis; Inversion H0; Rewrite H6 in H3; Clear H0 H5 H6 e v.
-     Subst1Confluence; XEAuto.
-     Qed.
-
-   End pr2_subst1_props.
-
-      Hints Resolve pr2_delta1 : ltlc.
-
-      Tactic Definition Pr2Subst1 :=
-         Match Context With
-            | [ H0: (drop ?1 (0) ?2 (CTail ?3 (Bind Abbr) ?4));
-                H1: (pr2 ?2 ?5 ?6); H3: (subst1 ?1 ?4 ?5 ?7) |- ? ] ->
-               LApply (pr2_subst1 ?2 ?3 ?4 ?1); [ Intros H_x | XAuto ];
-               LApply (H_x ?5 ?6); [ Clear H_x H1; Intros H1 | XAuto ];
-               LApply (H1 ?7); [ Clear H1; Intros H1 | XAuto ];
-               XElim H1; Intros.