we restored the scripts of \lambda\delta version 1

[helm.git] / helm / coq-contribs / LAMBDA-TYPES / pr0_subst1.v

diff --git a/helm/coq-contribs/LAMBDA-TYPES/pr0_subst1.v b/helm/coq-contribs/LAMBDA-TYPES/pr0_subst1.v
deleted file mode 100644 (file)
index fbf8e8b..0000000
--- a/helm/coq-contribs/LAMBDA-TYPES/pr0_subst1.v
+++ /dev/null
@@ -1,63 +0,0 @@
-(*#* #stop file *)
-
-Require subst1_defs.
-Require pr0_defs.
-Require pr0_subst0.
-
-   Section pr0_subst1_props. (***********************************************)
-
-      Theorem pr0_delta1: (u1,u2:?) (pr0 u1 u2) -> (t1,t2:?) (pr0 t1 t2) ->
-                          (w:?) (subst1 (0) u2 t2 w) ->
-                          (pr0 (TTail (Bind Abbr) u1 t1) (TTail (Bind Abbr) u2 w)).
-      Intros until 3; XElim H1; Clear w; XEAuto.
-      Qed.
-
-      Theorem pr0_subst1_back: (u2,t1,t2:?; i:?) (subst1 i u2 t1 t2) ->
-                               (u1:?) (pr0 u1 u2) ->
-                               (EX t | (subst1 i u1 t1 t) & (pr0 t t2)).
-      Intros until 1; XElim H; Intros;
-      Try Pr0Subst0; XEAuto.
-      Qed.
-
-      Theorem pr0_subst1_fwd: (u2,t1,t2:?; i:?) (subst1 i u2 t1 t2) ->
-                              (u1:?) (pr0 u2 u1) ->
-                              (EX t | (subst1 i u1 t1 t) & (pr0 t2 t)).
-      Intros until 1; XElim H; Intros;
-      Try Pr0Subst0; XEAuto.
-      Qed.
-
-      Theorem pr0_subst1: (t1,t2:?) (pr0 t1 t2) ->
-                          (v1,w1:?; i:?) (subst1 i v1 t1 w1) ->
-                          (v2:?) (pr0 v1 v2) ->
-                          (EX w2 | (pr0 w1 w2) & (subst1 i v2 t2 w2)).
-      Intros until 2; XElim H0; Intros;
-      Try Pr0Subst0; XEAuto.
-      Qed.
-
-   End pr0_subst1_props.
-
-      Hints Resolve pr0_delta1 : ltlc.
-
-      Tactic Definition Pr0Subst1 :=
-         Match Context With
-            | [ H1: (pr0 ?1 ?2); H2: (subst1 ?3 ?4 ?1 ?5);
-                H3: (pr0 ?4 ?6) |- ? ] ->
-               LApply (pr0_subst1 ?1 ?2); [ Clear H1; Intros H1 | XAuto ];
-               LApply (H1 ?4 ?5 ?3); [ Clear H1 H2; Intros H1 | XAuto ];
-               LApply (H1 ?6); [ Clear H1; Intros H1 | XAuto ];
-               XElim H1; Intros
-            | [ H1: (pr0 ?1 ?2); H2: (subst1 ?3 ?4 ?1 ?5) |- ? ] ->
-               LApply (pr0_subst1 ?1 ?2); [ Clear H1; Intros H1 | XAuto ];
-               LApply (H1 ?4 ?5 ?3); [ Clear H1 H2; Intros H1 | XAuto ];
-               LApply (H1 ?4); [ Clear H1; Intros H1 | XAuto ];
-               XElim H1; Intros
-            | [ H1: (subst1 ?0 ?1 ?2 ?3); H2: (pr0 ?4 ?1) |- ? ] ->
-               LApply (pr0_subst1_back ?1 ?2 ?3 ?0); [ Clear H1; Intros H1 | XAuto ];
-               LApply (H1 ?4); [ Clear H1 H2; Intros H1 | XAuto ];
-               XElim H1; Intros
-            | [ H1: (subst1 ?0 ?1 ?2 ?3); H2: (pr0 ?1 ?4) |- ? ] ->
-               LApply (pr0_subst1_fwd ?1 ?2 ?3 ?0); [ Clear H1; Intros H1 | XAuto ];
-               LApply (H1 ?4); [ Clear H1 H2; Intros H1 | XAuto ];
-               XElim H1; Intros
-            | _ -> Pr0Subst0.
-