we restored the scripts of \lambda\delta version 1

[helm.git] / helm / coq-contribs / LAMBDA-TYPES / pr3_subst1.v

diff --git a/helm/coq-contribs/LAMBDA-TYPES/pr3_subst1.v b/helm/coq-contribs/LAMBDA-TYPES/pr3_subst1.v
deleted file mode 100644 (file)
index 3db6ce0..0000000
--- a/helm/coq-contribs/LAMBDA-TYPES/pr3_subst1.v
+++ /dev/null
@@ -1,32 +0,0 @@
-(*#* #stop file *)
-
-Require subst1_defs.
-Require pr2_subst1.
-Require pr3_defs.
-
-   Section pr3_subst1_props. (***********************************************)
-
-      Theorem pr3_subst1: (c,e:?; v:?; i:?) (drop i (0) c (CTail e (Bind Abbr) v)) ->
-                          (t1,t2:?) (pr3 c t1 t2) ->
-                          (w1:?) (subst1 i v t1 w1) ->
-                          (EX w2 | (pr3 c w1 w2) & (subst1 i v t2 w2)).
-     Intros until 2; XElim H0; Clear t1 t2; Intros.
-(* case 1: pr3_refl *)
-     XEAuto.
-(* case 2: pr3_single *)
-     Pr2Subst1.
-     LApply (H2 x); [ Clear H2; Intros H2 | XAuto ].
-     XElim H2; XEAuto.
-     Qed.
-
-   End pr3_subst1_props.
-
-      Tactic Definition Pr3Subst1 :=
-         Match Context With
-            | [ H0: (drop ?1 (0) ?2 (CTail ?3 (Bind Abbr) ?4));
-                H1: (pr3 ?2 ?5 ?6); H3: (subst1 ?1 ?4 ?5 ?7) |- ? ] ->
-               LApply (pr3_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
-            | _ -> Pr2Subst1.