]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_cprs.ma
update in ground_2, static_2, basic_2, apps_2, alpha_1
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cprs_cprs.ma
index aba142ab75dda014eb978f22628230ccae37d45d..562b4e171b15300d86e9afc32e407b07d510f8ec 100644 (file)
@@ -39,9 +39,9 @@ qed-.
 
 (* Basic_1: was: pr3_flat *)
 theorem cprs_flat (h) (G) (L):
-                  â\88\80T1,T2. â¦\83G,Lâ¦\84 ⊢ T1 ➡*[h] T2 →
-                  â\88\80V1,V2. â¦\83G,Lâ¦\84 ⊢ V1 ➡*[h] V2 →
-                  â\88\80I. â¦\83G,Lâ¦\84 â\8a¢ â\93\95{I}V1.T1 â\9e¡*[h] â\93\95{I}V2.T2.
+                  â\88\80T1,T2. â\9dªG,Lâ\9d« ⊢ T1 ➡*[h] T2 →
+                  â\88\80V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ➡*[h] V2 →
+                  â\88\80I. â\9dªG,Lâ\9d« â\8a¢ â\93\95[I]V1.T1 â\9e¡*[h] â\93\95[I]V2.T2.
 #h #G #L #T1 #T2 #HT12 #V1 #V2 #H @(cprs_ind_dx … H) -V2
 [ /2 width=3 by cprs_flat_dx/
 | /3 width=3 by cpr_pair_sn, cprs_step_dx/
@@ -53,15 +53,15 @@ qed.
 (* Basic_1: was pr3_gen_appl *)
 (* Basic_2A1: was: cprs_inv_appl1 *)
 lemma cprs_inv_appl_sn (h) (G) (L):
-                       â\88\80V1,T1,X2. â¦\83G,Lâ¦\84 ⊢ ⓐV1.T1 ➡*[h] X2 →
-                       â\88¨â\88¨ â\88\83â\88\83V2,T2.       â¦\83G,Lâ¦\84 ⊢ V1 ➡*[h] V2 &
-                                         â¦\83G,Lâ¦\84 ⊢ T1 ➡*[h] T2 &
+                       â\88\80V1,T1,X2. â\9dªG,Lâ\9d« ⊢ ⓐV1.T1 ➡*[h] X2 →
+                       â\88¨â\88¨ â\88\83â\88\83V2,T2.       â\9dªG,Lâ\9d« ⊢ V1 ➡*[h] V2 &
+                                         â\9dªG,Lâ\9d« ⊢ T1 ➡*[h] T2 &
                                          X2 = ⓐV2. T2
-                        | â\88\83â\88\83p,W,T.       â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[h] â\93\9b{p}W.T &
-                                         â¦\83G,Lâ¦\84 â\8a¢ â\93\93{p}ⓝW.V1.T ➡*[h] X2
-                        | â\88\83â\88\83p,V0,V2,V,T. â¦\83G,Lâ¦\84 ⊢ V1 ➡*[h] V0 & ⇧*[1] V0 ≘ V2 &
-                                         â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[h] â\93\93{p}V.T &
-                                         â¦\83G,Lâ¦\84 â\8a¢ â\93\93{p}V.ⓐV2.T ➡*[h] X2.
+                        | â\88\83â\88\83p,W,T.       â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*[h] â\93\9b[p]W.T &
+                                         â\9dªG,Lâ\9d« â\8a¢ â\93\93[p]ⓝW.V1.T ➡*[h] X2
+                        | â\88\83â\88\83p,V0,V2,V,T. â\9dªG,Lâ\9d« ⊢ V1 ➡*[h] V0 & ⇧*[1] V0 ≘ V2 &
+                                         â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*[h] â\93\93[p]V.T &
+                                         â\9dªG,Lâ\9d« â\8a¢ â\93\93[p]V.ⓐV2.T ➡*[h] X2.
 #h #G #L #V1 #T1 #X2 #H elim (cpms_inv_appl_sn … H) -H *
 [ /3 width=5 by or3_intro0, ex3_2_intro/
 | #n1 #n2 #p #V2 #T2 #HT12 #HTX2 #H