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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma
index 4461f2f18..85afa3bab 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma
@@ -21,47 +21,47 @@ include "basic_2/rt_computation/fpbs_fqus.ma".
 (* Properties with extended context-sensitive parallel rt-computation *******)
 
 lemma cpxs_fpbs:
-      ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈* T2 → ❪G,L,T1❫ ≥ ❪G,L,T2❫.
+      ∀G,L,T1,T2. ❨G,L❩ ⊢ T1 ⬈* T2 → ❨G,L,T1❩ ≥ ❨G,L,T2❩.
 #G #L #T1 #T2 #H @(cpxs_ind … H) -T2
 /3 width=5 by cpx_fpb, fpbs_strap1/
 qed.
 
 lemma fpbs_cpxs_trans:
-      ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≥ ❪G,L,T❫ →
-      ∀T2. ❪G,L❫ ⊢ T ⬈* T2 → ❪G1,L1,T1❫ ≥ ❪G,L,T2❫.
+      ∀G1,G,L1,L,T1,T. ❨G1,L1,T1❩ ≥ ❨G,L,T❩ →
+      ∀T2. ❨G,L❩ ⊢ T ⬈* T2 → ❨G1,L1,T1❩ ≥ ❨G,L,T2❩.
 #G1 #G #L1 #L #T1 #T #H1 #T2 #H @(cpxs_ind … H) -T2
 /3 width=5 by fpbs_strap1, cpx_fpb/
 qed-.
 
 lemma cpxs_fpbs_trans:
-      ∀G1,G2,L1,L2,T,T2. ❪G1,L1,T❫ ≥ ❪G2,L2,T2❫ →
-      ∀T1. ❪G1,L1❫ ⊢ T1 ⬈* T → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,G2,L1,L2,T,T2. ❨G1,L1,T❩ ≥ ❨G2,L2,T2❩ →
+      ∀T1. ❨G1,L1❩ ⊢ T1 ⬈* T → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
 #G1 #G2 #L1 #L2 #T #T2 #H1 #T1 #H @(cpxs_ind_dx … H) -T1
 /3 width=5 by fpbs_strap2, cpx_fpb/
 qed-.
 
 lemma cpxs_teqg_fpbs_trans (S):
       reflexive … S → symmetric … S →
-      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈* T → ∀T0. T ≛[S] T0 →
-      ∀G2,L2,T2. ❪G1,L1,T0❫ ≥ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,L1,T1,T. ❨G1,L1❩ ⊢ T1 ⬈* T → ∀T0. T ≛[S] T0 →
+      ∀G2,L2,T2. ❨G1,L1,T0❩ ≥ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
 /3 width=6 by cpxs_fpbs_trans, teqg_fpbs_trans/ qed-.
 
 lemma cpxs_teqg_fpbs (S):
       reflexive … S → symmetric … S →
-      ∀G,L,T1,T. ❪G,L❫ ⊢ T1 ⬈* T →
-      ∀T2. T ≛[S] T2 → ❪G,L,T1❫ ≥ ❪G,L,T2❫.
+      ∀G,L,T1,T. ❨G,L❩ ⊢ T1 ⬈* T →
+      ∀T2. T ≛[S] T2 → ❨G,L,T1❩ ≥ ❨G,L,T2❩.
 /4 width=5 by cpxs_fpbs_trans, feqg_fpbs, teqg_feqg/ qed.
 
 (* Properties with plus-iterated structural successor for closures **********)
 
 lemma cpxs_fqup_fpbs:
-      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈* T →
-      ∀G2,L2,T2. ❪G1,L1,T❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,L1,T1,T. ❨G1,L1❩ ⊢ T1 ⬈* T →
+      ∀G2,L2,T2. ❨G1,L1,T❩ ⬂+ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
 /3 width=5 by fpbs_fqup_trans, cpxs_fpbs/ qed.
 
 (* Properties with star-iterated structural successor for closures **********)
 
 lemma cpxs_fqus_fpbs:
-      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈* T →
-      ∀G2,L2,T2. ❪G1,L1,T❫ ⬂* ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,L1,T1,T. ❨G1,L1❩ ⊢ T1 ⬈* T →
+      ∀G2,L2,T2. ❨G1,L1,T❩ ⬂* ❨G2,L2,T2❩ → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
 /3 width=5 by fpbs_fqus_trans, cpxs_fpbs/ qed.