update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqg.ma
index 2b9dbd29cf6e7098b9cba71923976b3dbad76464..7dbb2b0d58ae83141a934ebb521ef85e0b936f98 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqg.ma
@@ -20,14 +20,14 @@ include "basic_2/rt_transition/rpx_lpx.ma". (**) (* one dependence *)
 
 lemma reqg_lpx_trans_rpx (S) (G) (L) (T:term):
       reflexive … S → symmetric … S →
-      â\88\80L1. L1 â\89\9b[S,T] L â\86\92 â\88\80L2. â\9dªG,Lâ\9d« â\8a¢ â¬\88 L2 â\86\92 â\9dªG,L1â\9d« ⊢ ⬈[T] L2.
+      â\88\80L1. L1 â\89\9b[S,T] L â\86\92 â\88\80L2. â\9d¨G,Lâ\9d© â\8a¢ â¬\88 L2 â\86\92 â\9d¨G,L1â\9d© ⊢ ⬈[T] L2.
 /3 width=6 by lpx_rpx, reqg_rpx_trans/ qed.
 
 (* Basic_2A1: uses: lleq_lpx_trans *)
 lemma reqg_lpx_trans (S) (G) (T:term):
       reflexive … S → symmetric … S →
-      â\88\80L2,K2. â\9dªG,L2â\9d« ⊢ ⬈ K2 → ∀L1. L1 ≛[S,T] L2 →
-      â\88\83â\88\83K1. â\9dªG,L1â\9d« ⊢ ⬈ K1 & K1 ≛[S,T] K2.
+      â\88\80L2,K2. â\9d¨G,L2â\9d© ⊢ ⬈ K2 → ∀L1. L1 ≛[S,T] L2 →
+      â\88\83â\88\83K1. â\9d¨G,L1â\9d© ⊢ ⬈ K1 & K1 ≛[S,T] K2.
 #S #G #T #H1S #H2S #L2 #K2 #HLK2 #L1 #HL12
 lapply (lpx_rpx … T … HLK2) -HLK2 #HLK2
 lapply (reqg_rpx_trans … HL12 … HLK2) -L2 // #H
@@ -39,8 +39,8 @@ qed-.
 
 lemma rpx_inv_reqg_lpx (S) (G) (T):
       reflexive … S →
-      â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ⬈[T] L2 →
-      â\88\83â\88\83L. L1 â\89\9b[S,T] L & â\9dªG,Lâ\9d« ⊢ ⬈ L2.
+      â\88\80L1,L2. â\9d¨G,L1â\9d© ⊢ ⬈[T] L2 →
+      â\88\83â\88\83L. L1 â\89\9b[S,T] L & â\9d¨G,Lâ\9d© ⊢ ⬈ L2.
 #S #G #T #HS #L1 #L2 #H
 elim (rpx_inv_req_lpx … H) -H #L #HL1 #HL2
 /3 width=3 by req_fwd_reqg, ex2_intro/
@@ -50,8 +50,8 @@ qed-.
 
 lemma rpx_fwd_lpx_reqg (S) (G) (T):
       reflexive … S →
-      â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ⬈[T] L2 →
-      â\88\83â\88\83L. â\9dªG,L1â\9d« ⊢ ⬈ L & L ≛[S,T] L2.
+      â\88\80L1,L2. â\9d¨G,L1â\9d© ⊢ ⬈[T] L2 →
+      â\88\83â\88\83L. â\9d¨G,L1â\9d© ⊢ ⬈ L & L ≛[S,T] L2.
 #S #G #T #HS #L1 #L2 #H
 elim (rpx_fwd_lpx_req … H) -H #L #HL1 #HL2
 /3 width=3 by req_fwd_reqg, ex2_intro/