we restored the scripts of \lambda\delta version 1

[helm.git] / helm / coq-contribs / LAMBDA-TYPES / subst1_confluence.v

diff --git a/helm/coq-contribs/LAMBDA-TYPES/subst1_confluence.v b/helm/coq-contribs/LAMBDA-TYPES/subst1_confluence.v
deleted file mode 100644 (file)
index 0c473e9..0000000
--- a/helm/coq-contribs/LAMBDA-TYPES/subst1_confluence.v
+++ /dev/null
@@ -1,82 +0,0 @@
-(*#* #stop file *)
-
-Require lift_gen.
-Require subst0_gen.
-Require subst0_confluence.
-Require subst1_defs.
-Require subst1_gen.
-
-   Section subst1_confluence. (**********************************************)
-
-      Theorem subst1_confluence_neq: (t0,t1,u1:?; i1:?) (subst1 i1 u1 t0 t1) ->
-                                     (t2,u2:?; i2:?) (subst1 i2 u2 t0 t2) ->
-                                     ~i1=i2 ->
-                                     (EX t | (subst1 i2 u2 t1 t) &
-                                             (subst1 i1 u1 t2 t)
-                                     ).
-      Intros until 1; XElim H; Clear t1; Intros.
-(* case 1; subst1_refl *)
-      XEAuto.
-(* case 2; subst1_single *)
-      XElim H0; Intros; Try Subst0Confluence; XEAuto.
-      Qed.
-
-      Theorem subst1_confluence_eq : (t0,t1,u:?; i:?) (subst1 i u t0 t1) ->
-                                     (t2:?) (subst1 i u t0 t2) ->
-                                     (EX t | (subst1 i u t1 t) &
-                                             (subst1 i u t2 t)
-                                     ).
-      Intros until 1; XElim H; Intros.
-(* case 1; subst1_refl *)
-      XEAuto.
-(* case 2; subst1_single *)
-      XElim H0; Intros;
-      Try Subst0Confluence; Try Rewrite H0; XEAuto.
-      Qed.
-
-      Theorem subst1_confluence_lift: (t0,t1,u:?; i:?) (subst1 i u t0 (lift (1) i t1)) ->
-                                      (t2:?) (subst1 i u t0 (lift (1) i t2)) ->
-                                      t1 = t2.
-      Intros until 1; InsertEq H '(lift (1) i t1); XElim H; Clear y; Intros.
-(* case 1: subst1_refl *)
-      Rewrite H in H0; Clear H t0.
-      Subst1Gen; SymEqual; LiftGen; XEAuto.
-(* case 2: subst1_single *)
-      Rewrite H0 in H; Clear H0 t2.
-      InsertEq H1 '(lift (1) i t3); XElim H0; Clear y; Intros.
-(* case 2.1: subst1_refl *)
-      Rewrite H0 in H; Clear H0 t0; Subst0Gen.
-(* case 2.2: subst1_single *)
-      Rewrite H1 in H0; Clear H1 t2; Subst0ConfluenceLift; XAuto.
-      Qed.
-
-   End subst1_confluence.
-
-      Tactic Definition Subst1Confluence :=
-         Match Context With
-            | [ H0: (subst1 ?1 ?2 ?3 (lift (1) ?1 ?4));
-                H1: (subst1 ?1 ?2 ?3 (lift (1) ?1 ?5)) |- ? ] ->
-              LApply (subst1_confluence_lift ?3 ?4 ?2 ?1); [ Clear H0; Intros H0 | XAuto ];
-              LApply (H0 ?5); [ Clear H0; Intros | XAuto ]
-            | [ H0: (subst1 ?1 ?2 ?3 ?4);
-                H1: (subst1 ?1 ?2 ?3 ?5) |- ? ] ->
-              LApply (subst1_confluence_eq ?3 ?4 ?2 ?1); [ Clear H0; Intros H0 | XAuto ];
-              LApply (H0 ?5); [ Clear H0; Intros H0 | XAuto ];
-              XElim H0; Intros
-            | [ H0: (subst0 ?1 ?2 ?3 ?4);
-                H1: (subst1 ?1 ?2 ?3 ?5) |- ? ] ->
-              LApply (subst1_confluence_eq ?3 ?4 ?2 ?1); [ Clear H0; Intros H0 | XAuto ];
-              LApply (H0 ?5); [ Clear H0; Intros H0 | XAuto ];
-              XElim H0; Intros
-            | [ H0: (subst1 ?1 ?2 ?3 ?4);
-                H1: (subst1 ?5 ?6 ?3 ?7) |- ? ] ->
-              LApply (subst1_confluence_neq ?3 ?4 ?2 ?1); [ Clear H0; Intros H0 | XAuto ];
-              LApply (H0 ?7 ?6 ?5); [ Clear H0 H1; Intros H0 | XAuto ];
-              LApply H0; [ Clear H0; Intros H0 | XAuto ];
-              XElim H0; Intros
-            | [ H0: (subst0 ?1 ?2 ?3 ?4);
-                H1: (subst1 ?5 ?6 ?3 ?7) |- ? ] ->
-              LApply (subst1_confluence_neq ?3 ?4 ?2 ?1); [ Clear H0; Intros H0 | XAuto ];
-              LApply (H0 ?7 ?6 ?5); [ Clear H0 H1; Intros H0 | XAuto ];
-              LApply H0; [ Clear H0; Intros H0 | XAuto ];
-              XElim H0; Intros.