update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpt_fqu.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_fqu.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_fqu.ma
index 034d3e014c6bc7c00340a253ca65f1754cdfdba8..5ac497f65aade931302e1dad7407bb7b65eacd33 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_fqu.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_fqu.ma
@@ -20,24 +20,24 @@ include "basic_2/rt_transition/cpt.ma".
 (* Basic eliminators ********************************************************)
 
 lemma cpt_ind (h) (Q:relation5 …):
-      (∀I,G,L. Q 0 G L (⓪{I}) (⓪{I})) →
+      (∀I,G,L. Q 0 G L (⓪[I]) (⓪[I])) →
       (∀G,L,s. Q 1 G L (⋆s) (⋆(⫯[h]s))) →
-      (â\88\80n,G,K,V1,V2,W2. â¦\83G,Kâ¦\84 ⊢ V1 ⬆[h,n] V2 → Q n G K V1 V2 →
+      (â\88\80n,G,K,V1,V2,W2. â\9dªG,Kâ\9d« ⊢ V1 ⬆[h,n] V2 → Q n G K V1 V2 →
         ⇧*[1] V2 ≘ W2 → Q n G (K.ⓓV1) (#0) W2
-      ) â\86\92 (â\88\80n,G,K,V1,V2,W2. â¦\83G,Kâ¦\84 ⊢ V1 ⬆[h,n] V2 → Q n G K V1 V2 →
+      ) â\86\92 (â\88\80n,G,K,V1,V2,W2. â\9dªG,Kâ\9d« ⊢ V1 ⬆[h,n] V2 → Q n G K V1 V2 →
         ⇧*[1] V2 ≘ W2 → Q (↑n) G (K.ⓛV1) (#0) W2
-      ) â\86\92 (â\88\80n,I,G,K,T,U,i. â¦\83G,Kâ¦\84 ⊢ #i ⬆[h,n] T → Q n G K (#i) T →
-        ⇧*[1] T ≘ U → Q n G (K.ⓘ{I}) (#↑i) (U)
-      ) â\86\92 (â\88\80n,p,I,G,L,V1,V2,T1,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â¬\86[h,0] V2 â\86\92 â¦\83G,L.â\93\91{I}V1â¦\84 ⊢ T1 ⬆[h,n] T2 →
-        Q 0 G L V1 V2 → Q n G (L.ⓑ{I}V1) T1 T2 → Q n G L (ⓑ{p,I}V1.T1) (ⓑ{p,I}V2.T2)
-      ) â\86\92 (â\88\80n,G,L,V1,V2,T1,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â¬\86[h,0] V2 â\86\92 â¦\83G,Lâ¦\84 ⊢ T1 ⬆[h,n] T2 →
+      ) â\86\92 (â\88\80n,I,G,K,T,U,i. â\9dªG,Kâ\9d« ⊢ #i ⬆[h,n] T → Q n G K (#i) T →
+        ⇧*[1] T ≘ U → Q n G (K.ⓘ[I]) (#↑i) (U)
+      ) â\86\92 (â\88\80n,p,I,G,L,V1,V2,T1,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\86[h,0] V2 â\86\92 â\9dªG,L.â\93\91[I]V1â\9d« ⊢ T1 ⬆[h,n] T2 →
+        Q 0 G L V1 V2 → Q n G (L.ⓑ[I]V1) T1 T2 → Q n G L (ⓑ[p,I]V1.T1) (ⓑ[p,I]V2.T2)
+      ) â\86\92 (â\88\80n,G,L,V1,V2,T1,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\86[h,0] V2 â\86\92 â\9dªG,Lâ\9d« ⊢ T1 ⬆[h,n] T2 →
         Q 0 G L V1 V2 → Q n G L T1 T2 → Q n G L (ⓐV1.T1) (ⓐV2.T2)
-      ) â\86\92 (â\88\80n,G,L,V1,V2,T1,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â¬\86[h,n] V2 â\86\92 â¦\83G,Lâ¦\84 ⊢ T1 ⬆[h,n] T2 →
+      ) â\86\92 (â\88\80n,G,L,V1,V2,T1,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\86[h,n] V2 â\86\92 â\9dªG,Lâ\9d« ⊢ T1 ⬆[h,n] T2 →
         Q n G L V1 V2 → Q n G L T1 T2 → Q n G L (ⓝV1.T1) (ⓝV2.T2)
-      ) â\86\92 (â\88\80n,G,L,V1,V2,T. â¦\83G,Lâ¦\84 ⊢ V1 ⬆[h,n] V2 →
+      ) â\86\92 (â\88\80n,G,L,V1,V2,T. â\9dªG,Lâ\9d« ⊢ V1 ⬆[h,n] V2 →
         Q n G L V1 V2 → Q (↑n) G L (ⓝV1.T) V2
       ) →
-      â\88\80n,G,L,T1,T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬆[h,n] T2 → Q n G L T1 T2.
+      â\88\80n,G,L,T1,T2. â\9dªG,Lâ\9d« ⊢ T1 ⬆[h,n] T2 → Q n G L T1 T2.
 #h #Q #IH1 #IH2 #IH3 #IH4 #IH5 #IH6 #IH7 #IH8 #IH9 #n #G #L #T1
 generalize in match n; -n
 @(fqu_wf_ind (Ⓣ) … G L T1) -G -L -T1 #G0 #L0 * [| * [| * ]]