update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / feqg_feqg.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqg_feqg.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqg_feqg.ma
index 7a3339a88fc2fc2efcbf6c8e45c627e8f9728d2f..1d0e4e38ff6240aacfee93fa0d18fbf64d37de34 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/feqg_feqg.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/feqg_feqg.ma
@@ -28,7 +28,7 @@ qed-.
 
 lemma feqg_dec (S):
       (∀s1,s2. Decidable … (S s1 s2)) →
-      â\88\80G1,G2,L1,L2,T1,T2. Decidable (â\9dªG1,L1,T1â\9d« â\89\9b[S] â\9dªG2,L2,T2â\9d«).
+      â\88\80G1,G2,L1,L2,T1,T2. Decidable (â\9d¨G1,L1,T1â\9d© â\89\9b[S] â\9d¨G2,L2,T2â\9d©).
 #S #HS #G1 #G2 #L1 #L2 #T1 #T2
 elim (eq_genv_dec G1 G2) #HnG destruct
 [ elim (reqg_dec … HS L1 L2 T1) #HnL
@@ -53,20 +53,20 @@ qed-.
 
 theorem feqg_canc_sn (S):
         reflexive … S → symmetric … S → Transitive … S →
-        â\88\80G,G1,L,L1,T,T1. â\9dªG,L,Tâ\9d« â\89\9b[S] â\9dªG1,L1,T1â\9d« →
-        â\88\80G2,L2,T2. â\9dªG,L,Tâ\9d« â\89\9b[S] â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89\9b[S] â\9dªG2,L2,T2â\9d«.
+        â\88\80G,G1,L,L1,T,T1. â\9d¨G,L,Tâ\9d© â\89\9b[S] â\9d¨G1,L1,T1â\9d© →
+        â\88\80G2,L2,T2. â\9d¨G,L,Tâ\9d© â\89\9b[S] â\9d¨G2,L2,T2â\9d© â\86\92 â\9d¨G1,L1,T1â\9d© â\89\9b[S] â\9d¨G2,L2,T2â\9d©.
 /3 width=5 by feqg_trans, feqg_sym/ qed-.
 
 theorem feqg_canc_dx (S):
         reflexive … S → symmetric … S → Transitive … S →
-        â\88\80G1,G,L1,L,T1,T. â\9dªG1,L1,T1â\9d« â\89\9b[S] â\9dªG,L,Tâ\9d« →
-        â\88\80G2,L2,T2. â\9dªG2,L2,T2â\9d« â\89\9b[S] â\9dªG,L,Tâ\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89\9b[S] â\9dªG2,L2,T2â\9d«.
+        â\88\80G1,G,L1,L,T1,T. â\9d¨G1,L1,T1â\9d© â\89\9b[S] â\9d¨G,L,Tâ\9d© →
+        â\88\80G2,L2,T2. â\9d¨G2,L2,T2â\9d© â\89\9b[S] â\9d¨G,L,Tâ\9d© â\86\92 â\9d¨G1,L1,T1â\9d© â\89\9b[S] â\9d¨G2,L2,T2â\9d©.
 /3 width=5 by feqg_trans, feqg_sym/ qed-.
 
 lemma feqg_reqg_trans (S) (G2) (L) (T2):
       reflexive … S → symmetric … S → Transitive … S →
-      â\88\80G1,L1,T1. â\9dªG1,L1,T1â\9d« â\89\9b[S] â\9dªG2,L,T2â\9d« →
-      â\88\80L2. L â\89\9b[S,T2] L2 â\86\92 â\9dªG1,L1,T1â\9d« â\89\9b[S] â\9dªG2,L2,T2â\9d«.
+      â\88\80G1,L1,T1. â\9d¨G1,L1,T1â\9d© â\89\9b[S] â\9d¨G2,L,T2â\9d© →
+      â\88\80L2. L â\89\9b[S,T2] L2 â\86\92 â\9d¨G1,L1,T1â\9d© â\89\9b[S] â\9d¨G2,L2,T2â\9d©.
 #S #G2 #L #T2 #H1S #H2S #H3S #G1 #L1 #T1 #H1 #L2 #HL2
 /4 width=5 by feqg_trans, feqg_intro_sn, teqg_refl/
 qed-.
@@ -76,7 +76,7 @@ qed-.
 (* Basic_2A1: uses: feqg_tneqg_repl_dx *)
 lemma feqg_tneqg_trans (S) (G1) (G2) (L1) (L2) (T):
       reflexive … S → symmetric … S → Transitive … S →
-      â\88\80T1. â\9dªG1,L1,T1â\9d« â\89\9b[S] â\9dªG2,L2,Tâ\9d« →
+      â\88\80T1. â\9d¨G1,L1,T1â\9d© â\89\9b[S] â\9d¨G2,L2,Tâ\9d© →
       ∀T2. (T ≛[S] T2 → ⊥) → (T1 ≛[S] T2 → ⊥).
 #S #G1 #G2 #L1 #L2 #T #H1S #H2S #H3S #T1 #H1 #T2 #HnT2 #HT12
 elim (feqg_inv_gen_sn … H1) -H1 #_ #_ #HnT1 -G1 -G2 -L1 -L2