X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fcoq-contribs%2FLAMBDA-TYPES%2Fpc3_gen.v;h=8a27227e6d0607ae1dd6a0a8ca1a9bf68158d9b4;hb=97c2d258a5c524eb5c4b85208899d80751a2c82f;hp=af5f2a992ef33ffafe7ace253a40ac341451e5c7;hpb=a8052b7482d5573eca2776ea11cb7a4b06236fbd;p=helm.git diff --git a/helm/coq-contribs/LAMBDA-TYPES/pc3_gen.v b/helm/coq-contribs/LAMBDA-TYPES/pc3_gen.v index af5f2a992..8a27227e6 100644 --- a/helm/coq-contribs/LAMBDA-TYPES/pc3_gen.v +++ b/helm/coq-contribs/LAMBDA-TYPES/pc3_gen.v @@ -9,9 +9,9 @@ Require pc3_props. Section pc3_gen. (********************************************************) Theorem pc3_gen_sort: (c:?; m,n:?) (pc3 c (TSort m) (TSort n)) -> m = n. - Intros; Pc3Confluence; Repeat Pr3GenBase. - Rewrite H in H0; Clear H x c. - Inversion H0; XAuto. + Intros; Pc3Unfold; Repeat Pr3GenBase. + Rewrite H0 in H; Clear H0 x c. + TGenBase; XAuto. Qed. Theorem pc3_gen_abst: (c:?; u1,u2,t1,t2:?) @@ -21,8 +21,8 @@ Require pc3_props. (pc3 c u1 u2) /\ (b:?; u:?) (pc3 (CTail c (Bind b) u) t1 t2). Intros. - Pc3Confluence; Repeat Pr3GenBase; Rewrite H0 in H1; Clear H0 x. - Inversion H1; Rewrite H0 in H4; Rewrite H6 in H5. + Pc3Unfold; Repeat Pr3GenBase; Rewrite H1 in H; Clear H1 x. + TGenBase; Rewrite H1 in H4; Rewrite H6 in H5. XEAuto. Qed. @@ -31,8 +31,8 @@ Require pc3_props. (e:?) (drop h d c e) -> (pc3 e t1 t2). Intros. - Pc3Confluence; Repeat Pr3Gen; Rewrite H2 in H1; Clear H2 x. - LiftGen; Rewrite H in H3; XEAuto. + Pc3Unfold; Repeat Pr3Gen; Rewrite H2 in H; Clear H2 x. + LiftGen; Rewrite H in H4; XEAuto. Qed. Theorem pc3_gen_not_abst: (b:?) ~b=Abst -> (c:?; t1,t2,u1,u2:?) @@ -43,15 +43,15 @@ Require pc3_props. (lift (1) (0) (TTail (Bind Abst) u2 t2)) ). XElim b; Intros; - Try EqFalse; Pc3Confluence; Repeat Pr3Gen; - Try (Rewrite H3 in H0; TGenBase); - Rewrite H0 in H2; Clear H H0 x; + Try EqFalse; Pc3Unfold; Repeat Pr3Gen; + Try (Rewrite H0 in H3; TGenBase); + Rewrite H1 in H0; Clear H H1 x; EApply pc3_pr3_t; XEAuto. Qed. Theorem pc3_gen_lift_abst: (c:?; t,t2,u2:?; h,d:?) (pc3 c (lift h d t) - (TTail (Bind Abst) u2 t2) + (TTail (Bind Abst) u2 t2) ) -> (e:?) (drop h d c e) -> (EX u1 t1 | (pr3 e t (TTail (Bind Abst) u1 t1)) & @@ -59,7 +59,7 @@ Require pc3_props. (b:B; u:T)(pr3 (CTail c (Bind b) u) t2 (lift h (S d) t1)) ). Intros. - Pc3Confluence; Repeat Pr3Gen; Rewrite H in H2; Clear H x. + Pc3Unfold; Repeat Pr3Gen; Rewrite H1 in H; Clear H1 x. LiftGenBase; Rewrite H in H3; Rewrite H1 in H4; Rewrite H2 in H5; XEAuto. Qed. @@ -84,4 +84,5 @@ Require pc3_props. _: (drop ?2 ?3 ?1 ?7) |- ? ] -> LApply (pc3_gen_lift_abst ?1 ?4 ?6 ?5 ?2 ?3); [ Intros H_x | XAuto ]; LApply (H_x ?7); [ Clear H_x; Intros H_x | XAuto ]; - XElim H_x; Intros. + XElim H_x; Intros + | _ -> Pr3Gen.