update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma
index c5d14bbe2273e6a3e619775570991d57e7a9ec79..068f4dcb4120a4c9878b01bdf0e0b0ba3e45052a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma
@@ -24,8 +24,8 @@ include "basic_2/rt_computation/csx_vector.ma".
 
 (* Basic_1: was just: sn3_appls_beta *)
 lemma csx_applv_beta (G) (L):
-      â\88\80p,Vs,V,W,T. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⒶVs.ⓓ[p]ⓝW.V.T →
-      â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⒶVs.ⓐV.ⓛ[p]W.T.
+      â\88\80p,Vs,V,W,T. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⒶVs.ⓓ[p]ⓝW.V.T →
+      â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⒶVs.ⓐV.ⓛ[p]W.T.
 #G #L #p #Vs elim Vs -Vs /2 width=1 by csx_appl_beta/
 #V0 #Vs #IHV #V #W #T #H1T
 lapply (csx_fwd_pair_sn … H1T) #HV0
@@ -41,7 +41,7 @@ qed.
 lemma csx_applv_delta_drops (G) (L):
       ∀I,K,V1,i. ⇩[i] L ≘ K.ⓑ[I]V1 →
       ∀V2. ⇧[↑i] V1 ≘ V2 →
-      â\88\80Vs. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 â\92¶Vs.V2 â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⒶVs.#i.
+      â\88\80Vs. â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 â\92¶Vs.V2 â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⒶVs.#i.
 #G #L #I #K #V1 #i #HLK #V2 #HV12 #Vs elim Vs -Vs
 [ /4 width=11 by csx_inv_lifts, csx_lref_pair_drops, drops_isuni_fwd_drop2/
 | #V #Vs #IHV #H1T
@@ -59,7 +59,7 @@ qed.
 (* Basic_1: was just: sn3_appls_abbr *)
 lemma csx_applv_theta (G) (L):
       ∀p,V1b,V2b. ⇧[1] V1b ≘ V2b →
-      â\88\80V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 â\93\93[p]V.â\92¶V2b.T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⒶV1b.ⓓ[p]V.T.
+      â\88\80V,T. â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 â\93\93[p]V.â\92¶V2b.T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⒶV1b.ⓓ[p]V.T.
 #G #L #p #V1b #V2b * -V1b -V2b /2 width=1 by/
 #V1b #V2b #V1 #V2 #HV12 #H
 generalize in match HV12; -HV12 generalize in match V2; -V2 generalize in match V1; -V1
@@ -77,8 +77,8 @@ qed.
 
 (* Basic_1: was just: sn3_appls_cast *)
 lemma csx_applv_cast (G) (L):
-      â\88\80Vs,U. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⒶVs.U →
-      â\88\80T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 â\92¶Vs.T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⒶVs.ⓝU.T.
+      â\88\80Vs,U. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⒶVs.U →
+      â\88\80T. â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 â\92¶Vs.T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⒶVs.ⓝU.T.
 #G #L #Vs elim Vs -Vs /2 width=1 by csx_cast/
 #V #Vs #IHV #U #H1U #T #H1T
 lapply (csx_fwd_pair_sn … H1U) #HV