X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbs_fqup.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbs_fqup.ma;h=f49c3d568d571da048814ea011cb8ea8d4d7b94e;hb=8ec019202bff90959cf1a7158b309e7f83fa222e;hp=1ce4ac358b0ae20a2b0fe8cb1aea0d28c28c3532;hpb=33d0a7a9029859be79b25b5a495e0f30dab11f37;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
index 1ce4ac358..f49c3d568 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
@@ -21,14 +21,14 @@ include "basic_2/rt_computation/fpbs.ma".
 
 lemma fpbs_ind:
       ∀G1,L1,T1. ∀Q:relation3 genv lenv term. Q G1 L1 T1 →
-      (∀G,G2,L,L2,T,T2. ❪G1,L1,T1❫ ≥ ❪G,L,T❫ → ❪G,L,T❫ ≽ ❪G2,L2,T2❫ → Q G L T → Q G2 L2 T2) →
-      ∀G2,L2,T2. ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫ → Q G2 L2 T2.
+      (∀G,G2,L,L2,T,T2. ❨G1,L1,T1❩ ≥ ❨G,L,T❩ → ❨G,L,T❩ ≽ ❨G2,L2,T2❩ → Q G L T → Q G2 L2 T2) →
+      ∀G2,L2,T2. ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩ → Q G2 L2 T2.
 /3 width=8 by tri_TC_star_ind/ qed-.
 
 lemma fpbs_ind_dx:
       ∀G2,L2,T2. ∀Q:relation3 genv lenv term. Q G2 L2 T2 →
-      (∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≽ ❪G,L,T❫ → ❪G,L,T❫ ≥ ❪G2,L2,T2❫ → Q G L T → Q G1 L1 T1) →
-      ∀G1,L1,T1. ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫ → Q G1 L1 T1.
+      (∀G1,G,L1,L,T1,T. ❨G1,L1,T1❩ ≽ ❨G,L,T❩ → ❨G,L,T❩ ≥ ❨G2,L2,T2❩ → Q G L T → Q G1 L1 T1) →
+      ∀G1,L1,T1. ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩ → Q G1 L1 T1.
 /3 width=8 by tri_TC_star_ind_dx/ qed-.
 
 (* Advanced properties ******************************************************)
@@ -40,21 +40,21 @@ lemma fpbs_refl:
 (* Properties with plus-iterated structural successor for closures **********)
 
 lemma fqup_fpbs:
-      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂+ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
 #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /4 width=5 by fqu_fquq, fquq_fpb, tri_step/
 qed.
 
 lemma fpbs_fqup_trans:
-      ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≥ ❪G,L,T❫ →
-      ∀G2,L2,T2. ❪G,L,T❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,G,L1,L,T1,T. ❨G1,L1,T1❩ ≥ ❨G,L,T❩ →
+      ∀G2,L2,T2. ❨G,L,T❩ ⬂+ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
 #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /3 width=5 by fpbs_strap1, fqu_fpb/
 qed-.
 
 lemma fqup_fpbs_trans:
-      ∀G,G2,L,L2,T,T2. ❪G,L,T❫ ≥ ❪G2,L2,T2❫ →
-      ∀G1,L1,T1. ❪G1,L1,T1❫ ⬂+ ❪G,L,T❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G,G2,L,L2,T,T2. ❨G,L,T❩ ≥ ❨G2,L2,T2❩ →
+      ∀G1,L1,T1. ❨G1,L1,T1❩ ⬂+ ❨G,L,T❩ → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
 #G #G2 #L #L2 #T #T2 #H1 #G1 #L1 #T1 #H @(fqup_ind_dx … H) -G1 -L1 -T1
 /3 width=9 by fpbs_strap2, fqu_fpb/
 qed-.
\ No newline at end of file