update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
index 322930c7fd6825008ea2aaf9fe1fcc4001406350..ad4afa831fd589172358a1ddc3802f58326672b8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
@@ -19,29 +19,29 @@ include "basic_2/rt_transition/cnx.ma".
 
 (* Inversion lemmas with simple terms ***************************************)
 
-lemma cnx_inv_appl: â\88\80h,G,L,V,T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83â\93\90V.Tâ¦\84 →
-                    â\88§â\88§ â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Vâ¦\84 & â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Tâ¦\84 & ð\9d\90\92â¦\83Tâ¦\84.
+lemma cnx_inv_appl: â\88\80h,G,L,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªâ\93\90V.Tâ\9d« →
+                    â\88§â\88§ â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªVâ\9d« & â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªTâ\9d« & ð\9d\90\92â\9dªTâ\9d«.
 #h #G #L #V1 #T1 #HVT1 @and3_intro
 [ #V2 #HV2 lapply (HVT1 (ⓐV2.T1) ?) -HVT1 /2 width=1 by cpx_pair_sn/ -HV2
-  #H elim (tdeq_inv_pair … H) -H //
+  #H elim (teqx_inv_pair … H) -H //
 | #T2 #HT2 lapply (HVT1 (ⓐV1.T2) ?) -HVT1 /2 width=1 by cpx_flat/ -HT2
-  #H elim (tdeq_inv_pair … H) -H //
+  #H elim (teqx_inv_pair … H) -H //
 | generalize in match HVT1; -HVT1 elim T1 -T1 * //
   #p * #W1 #U1 #_ #_ #H
-  [ elim (lifts_total V1 (ð\9d\90\94â\9d´1â\9dµ)) #V2 #HV12
-    lapply (H (ⓓ{p}W1.ⓐV2.U1) ?) -H /2 width=3 by cpx_theta/ -HV12
-    #H elim (tdeq_inv_pair … H) -H #H destruct
-  | lapply (H (ⓓ{p}ⓝW1.V1.U1) ?) -H /2 width=1 by cpx_beta/
-    #H elim (tdeq_inv_pair … H) -H #H destruct
+  [ elim (lifts_total V1 (ð\9d\90\94â\9d¨1â\9d©)) #V2 #HV12
+    lapply (H (ⓓ[p]W1.ⓐV2.U1) ?) -H /2 width=3 by cpx_theta/ -HV12
+    #H elim (teqx_inv_pair … H) -H #H destruct
+  | lapply (H (ⓓ[p]ⓝW1.V1.U1) ?) -H /2 width=1 by cpx_beta/
+    #H elim (teqx_inv_pair … H) -H #H destruct
   ]
 ]
 qed-.
 
 (* Properties with simple terms *********************************************)
 
-lemma cnx_appl_simple: â\88\80h,G,L,V,T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Vâ¦\84 â\86\92 â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83Tâ¦\84 â\86\92 ð\9d\90\92â¦\83Tâ¦\84 →
-                       â¦\83G,Lâ¦\84 â\8a¢ â¬\88[h] ð\9d\90\8dâ¦\83â\93\90V.Tâ¦\84.
+lemma cnx_appl_simple: â\88\80h,G,L,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªVâ\9d« â\86\92 â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªTâ\9d« â\86\92 ð\9d\90\92â\9dªTâ\9d« →
+                       â\9dªG,Lâ\9d« â\8a¢ â¬\88[h] ð\9d\90\8dâ\9dªâ\93\90V.Tâ\9d«.
 #h #G #L #V #T #HV #HT #HS #X #H elim (cpx_inv_appl1_simple … H) -H //
 #V0 #T0 #HV0 #HT0 #H destruct
-@tdeq_pair [ @HV | @HT ] // (**) (* auto fails because δ-expansion gets in the way *)
+@teqx_pair [ @HV | @HT ] // (**) (* auto fails because δ-expansion gets in the way *)
 qed.