update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma
index bcb4dea88470fe086eccdf69d1f98d2010f1c0d6..1ecb2307b6272c4cb98cb4ade4d7a91777263189 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma
@@ -20,8 +20,8 @@ include "basic_2/rt_computation/csx_cpxs.ma".
 (* Properties with extended parallel rt-transition on all entries ***********)
 
 lemma csx_lpx_conf (G) (L1):
-      â\88\80T. â\9dªG,L1â\9d« ⊢ ⬈*𝐒 T →
-      â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â¬\88 L2 â\86\92 â\9dªG,L2â\9d« ⊢ ⬈*𝐒 T.
+      â\88\80T. â\9d¨G,L1â\9d© ⊢ ⬈*𝐒 T →
+      â\88\80L2. â\9d¨G,L1â\9d© â\8a¢ â¬\88 L2 â\86\92 â\9d¨G,L2â\9d© ⊢ ⬈*𝐒 T.
 #G #L1 #T #H @(csx_ind_cpxs … H) -T
 /4 width=3 by csx_intro, lpx_cpx_trans/
 qed-.
@@ -29,8 +29,8 @@ qed-.
 (* Advanced properties ******************************************************)
 
 lemma csx_abst (G) (L):
-      â\88\80p,W. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 W →
-      â\88\80T. â\9dªG,L.â\93\9bWâ\9d« â\8a¢ â¬\88*ð\9d\90\92 T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓛ[p]W.T.
+      â\88\80p,W. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 W →
+      â\88\80T. â\9d¨G,L.â\93\9bWâ\9d© â\8a¢ â¬\88*ð\9d\90\92 T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓛ[p]W.T.
 #G #L #p #W #HW
 @(csx_ind … HW) -W #W #_ #IHW #T #HT
 @(csx_ind … HT) -T #T #HT #IHT
@@ -45,8 +45,8 @@ elim (tneqx_inv_pair  … H2) -H2
 qed.
 
 lemma csx_abbr (G) (L):
-      â\88\80p,V. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 V →
-      â\88\80T. â\9dªG,L.â\93\93Vâ\9d« â\8a¢ â¬\88*ð\9d\90\92 T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓓ[p]V.T.
+      â\88\80p,V. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 V →
+      â\88\80T. â\9d¨G,L.â\93\93Vâ\9d© â\8a¢ â¬\88*ð\9d\90\92 T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓓ[p]V.T.
 #G #L #p #V #HV
 @(csx_ind … HV) -V #V #_ #IHV #T #HT
 @(csx_ind_cpxs … HT) -T #T #HT #IHT
@@ -64,15 +64,15 @@ elim (cpx_inv_abbr1 … H1) -H1 *
 qed.
 
 lemma csx_bind (G) (L):
-      â\88\80p,I,V. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 V →
-      â\88\80T. â\9dªG,L.â\93\91[I]Vâ\9d« â\8a¢ â¬\88*ð\9d\90\92 T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓑ[p,I]V.T.
+      â\88\80p,I,V. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 V →
+      â\88\80T. â\9d¨G,L.â\93\91[I]Vâ\9d© â\8a¢ â¬\88*ð\9d\90\92 T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓑ[p,I]V.T.
 #G #L #p * #V #HV #T #HT
 /2 width=1 by csx_abbr, csx_abst/
 qed.
 
 fact csx_appl_theta_aux (G) (L):
-     â\88\80p,U. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 U → ∀V1,V2. ⇧[1] V1 ≘ V2 →
-     â\88\80V,T. U = â\93\93[p]V.â\93\90V2.T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓐV1.ⓓ[p]V.T.
+     â\88\80p,U. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 U → ∀V1,V2. ⇧[1] V1 ≘ V2 →
+     â\88\80V,T. U = â\93\93[p]V.â\93\90V2.T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓐV1.ⓓ[p]V.T.
 #G #L #p #X #H
 @(csx_ind_cpxs … H) -X #X #HVT #IHVT #V1 #V2 #HV12 #V #T #H destruct
 lapply (csx_fwd_pair_sn … HVT) #HV
@@ -106,6 +106,6 @@ elim (cpx_inv_appl1 … HL) -HL *
 qed-.
 
 lemma csx_appl_theta (G) (L):
-      â\88\80p,V,V2,T. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓓ[p]V.ⓐV2.T →
-      â\88\80V1. â\87§[1] V1 â\89\98 V2 â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓐV1.ⓓ[p]V.T.
+      â\88\80p,V,V2,T. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓓ[p]V.ⓐV2.T →
+      â\88\80V1. â\87§[1] V1 â\89\98 V2 â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓐV1.ⓓ[p]V.T.
 /2 width=5 by csx_appl_theta_aux/ qed.