update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_cpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
index d820662f6349e0e3c487f7f28659803df886d342..fe6047de015bef2baaf357d5c33e544bbbb1ddda 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
@@ -14,23 +14,23 @@
 
 include "basic_2/rt_computation/lpxs_lpx.ma".
 
-(* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
+(* EXTENDED PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS *************)
 
 (* Properties with context-sensitive extended rt-computation for terms ******)
 
 (* Basic_2A1: was: cpxs_bind2 *)
-lemma cpxs_bind_alt (h) (G):
-      â\88\80L,V1,V2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88*[h] V2 →
-      â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« â\8a¢ T1 â¬\88*[h] T2 →
-      â\88\80p. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â¬\88*[h] ⓑ[p,I]V2.T2.
+lemma cpxs_bind_alt (G):
+      â\88\80L,V1,V2. â\9d¨G,Lâ\9d© â\8a¢ V1 â¬\88* V2 →
+      â\88\80I,T1,T2. â\9d¨G,L.â\93\91[I]V2â\9d© â\8a¢ T1 â¬\88* T2 →
+      â\88\80p. â\9d¨G,Lâ\9d© â\8a¢ â\93\91[p,I]V1.T1 â¬\88* ⓑ[p,I]V2.T2.
 /4 width=5 by lpxs_cpxs_trans, lpxs_pair, cpxs_bind/ qed.
 
 (* Inversion lemmas with context-sensitive ext rt-computation for terms *****)
 
-lemma cpxs_inv_abst1 (h) (G):
-      â\88\80p,L,V1,T1,U2. â\9dªG,Lâ\9d« â\8a¢ â\93\9b[p]V1.T1 â¬\88*[h] U2 →
-      â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88*[h] V2 & â\9dªG,L.â\93\9bV1â\9d« â\8a¢ T1 â¬\88*[h] T2 & U2 = ⓛ[p]V2.T2.
-#h #G #p #L #V1 #T1 #U2 #H @(cpxs_ind … H) -U2 /2 width=5 by ex3_2_intro/
+lemma cpxs_inv_abst1 (G):
+      â\88\80p,L,V1,T1,U2. â\9d¨G,Lâ\9d© â\8a¢ â\93\9b[p]V1.T1 â¬\88* U2 →
+      â\88\83â\88\83V2,T2. â\9d¨G,Lâ\9d© â\8a¢ V1 â¬\88* V2 & â\9d¨G,L.â\93\9bV1â\9d© â\8a¢ T1 â¬\88* T2 & U2 = ⓛ[p]V2.T2.
+#G #p #L #V1 #T1 #U2 #H @(cpxs_ind … H) -U2 /2 width=5 by ex3_2_intro/
 #U0 #U2 #_ #HU02 * #V0 #T0 #HV10 #HT10 #H destruct
 elim (cpx_inv_abst1 … HU02) -HU02 #V2 #T2 #HV02 #HT02 #H destruct
 lapply (lpxs_cpx_trans … HT02 (L.ⓛV1) ?)
@@ -38,11 +38,11 @@ lapply (lpxs_cpx_trans … HT02 (L.ⓛV1) ?)
 qed-.
 
 (* Basic_2A1: was: cpxs_inv_abbr1 *)
-lemma cpxs_inv_abbr1_dx (h) (p) (G) (L):
-      â\88\80V1,T1,U2. â\9dªG,Lâ\9d« â\8a¢ â\93\93[p]V1.T1 â¬\88*[h] U2 →
-      â\88¨â\88¨ â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88*[h] V2 & â\9dªG,L.â\93\93V1â\9d« â\8a¢ T1 â¬\88*[h] T2 & U2 = ⓓ[p]V2.T2
-       | â\88\83â\88\83T2. â\9dªG,L.â\93\93V1â\9d« â\8a¢ T1 â¬\88*[h] T2 & ⇧[1] U2 ≘ T2 & p = Ⓣ.
-#h #p #G #L #V1 #T1 #U2 #H
+lemma cpxs_inv_abbr1_dx (p) (G) (L):
+      â\88\80V1,T1,U2. â\9d¨G,Lâ\9d© â\8a¢ â\93\93[p]V1.T1 â¬\88* U2 →
+      â\88¨â\88¨ â\88\83â\88\83V2,T2. â\9d¨G,Lâ\9d© â\8a¢ V1 â¬\88* V2 & â\9d¨G,L.â\93\93V1â\9d© â\8a¢ T1 â¬\88* T2 & U2 = ⓓ[p]V2.T2
+       | â\88\83â\88\83T2. â\9d¨G,L.â\93\93V1â\9d© â\8a¢ T1 â¬\88* T2 & ⇧[1] U2 ≘ T2 & p = Ⓣ.
+#p #G #L #V1 #T1 #U2 #H
 @(cpxs_ind … H) -U2 /3 width=5 by ex3_2_intro, or_introl/
 #U0 #U2 #_ #HU02 * *
 [ #V0 #T0 #HV10 #HT10 #H destruct