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diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma
index f0262cbc7..b6b93168c 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma
@@ -21,7 +21,7 @@ include "basic_2/dynamic/cnv.ma".
 
 (* Basic_2A1: uses: snv_fwd_aaa *)
 lemma cnv_fwd_aaa (h) (a):
-      ∀G,L,T. ❪G,L❫ ⊢ T ![h,a] → ∃A. ❪G,L❫ ⊢ T ⁝ A.
+      ∀G,L,T. ❨G,L❩ ⊢ T ![h,a] → ∃A. ❨G,L❩ ⊢ T ⁝ A.
 #h #a #G #L #T #H elim H -G -L -T
 [ /2 width=2 by aaa_sort, ex_intro/
 | #I #G #L #V #_ * /3 width=2 by aaa_zero, ex_intro/
@@ -45,7 +45,7 @@ qed-.
 (* Forward lemmas with t_bound rt_transition for terms **********************)
 
 lemma cnv_fwd_cpm_SO (h) (a) (G) (L):
-      ∀T. ❪G,L❫ ⊢ T ![h,a] → ∃U. ❪G,L❫ ⊢ T ➡[h,1] U.
+      ∀T. ❨G,L❩ ⊢ T ![h,a] → ∃U. ❨G,L❩ ⊢ T ➡[h,1] U.
 #h #a #G #L #T #H
 elim (cnv_fwd_aaa … H) -H #A #HA
 /2 width=2 by aaa_cpm_SO/
@@ -54,16 +54,16 @@ qed-.
 (* Forward lemmas with t_bound rt_computation for terms *********************)
 
 lemma cnv_fwd_cpms_total (h) (a) (n) (G) (L):
-      ∀T. ❪G,L❫ ⊢ T ![h,a] → ∃U. ❪G,L❫ ⊢ T ➡*[h,n] U.
+      ∀T. ❨G,L❩ ⊢ T ![h,a] → ∃U. ❨G,L❩ ⊢ T ➡*[h,n] U.
 #h #a #n #G #L #T #H
 elim (cnv_fwd_aaa … H) -H #A #HA
 /2 width=2 by cpms_total_aaa/
 qed-.
 
 lemma cnv_fwd_cpms_abst_dx_le (h) (a) (G) (L) (W) (p):
-      ∀T. ❪G,L❫ ⊢ T ![h,a] →
-      ∀n1,U1. ❪G,L❫ ⊢ T ➡*[h,n1] ⓛ[p]W.U1 → ∀n2. n1 ≤ n2 →
-      ∃∃U2. ❪G,L❫ ⊢ T ➡*[h,n2] ⓛ[p]W.U2 & ❪G,L.ⓛW❫ ⊢ U1 ➡*[h,n2-n1] U2.
+      ∀T. ❨G,L❩ ⊢ T ![h,a] →
+      ∀n1,U1. ❨G,L❩ ⊢ T ➡*[h,n1] ⓛ[p]W.U1 → ∀n2. n1 ≤ n2 →
+      ∃∃U2. ❨G,L❩ ⊢ T ➡*[h,n2] ⓛ[p]W.U2 & ❨G,L.ⓛW❩ ⊢ U1 ➡*[h,n2-n1] U2.
 #h #a #G #L #W #p #T #H
 elim (cnv_fwd_aaa … H) -H #A #HA
 /2 width=2 by cpms_abst_dx_le_aaa/
@@ -73,9 +73,9 @@ qed-.
 
 lemma cnv_appl_ge (h) (a) (n1) (p) (G) (L):
       ∀n2. n1 ≤ n2 → ad a n2 →
-      ∀V. ❪G,L❫ ⊢ V ![h,a] → ∀T. ❪G,L❫ ⊢ T ![h,a] →
-      ∀X. ❪G,L❫ ⊢ V ➡*[h,1] X → ∀W. ❪G,L❫ ⊢ W ➡*[h,0] X →
-      ∀U. ❪G,L❫ ⊢ T ➡*[h,n1] ⓛ[p]W.U → ❪G,L❫ ⊢ ⓐV.T ![h,a].
+      ∀V. ❨G,L❩ ⊢ V ![h,a] → ∀T. ❨G,L❩ ⊢ T ![h,a] →
+      ∀X. ❨G,L❩ ⊢ V ➡*[h,1] X → ∀W. ❨G,L❩ ⊢ W ➡*[h,0] X →
+      ∀U. ❨G,L❩ ⊢ T ➡*[h,n1] ⓛ[p]W.U → ❨G,L❩ ⊢ ⓐV.T ![h,a].
 #h #a #n1 #p #G #L #n2 #Hn12 #Ha #V #HV #T #HT #X #HVX #W #HW #X #HTX
 elim (cnv_fwd_cpms_abst_dx_le  … HT … HTX … Hn12) #U #HTU #_ -n1
 /4 width=11 by cnv_appl, cpms_bind, cpms_cprs_trans/