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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
index 3e1beaa7b..fec73bcd9 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
@@ -22,7 +22,7 @@ include "basic_2/rt_computation/csx_gcr.ma".
 (* Main properties with atomic arity assignment *****************************)
 
 theorem aaa_csx (G) (L):
-        ∀T,A. ❪G,L❫ ⊢ T ⁝ A → ❪G,L❫ ⊢ ⬈*𝐒 T.
+        ∀T,A. ❨G,L❩ ⊢ T ⁝ A → ❨G,L❩ ⊢ ⬈*𝐒 T.
 #G #L #T #A #H
 @(gcr_aaa … csx_gcp csx_gcr … H)
 qed.
@@ -31,35 +31,35 @@ qed.
 
 fact aaa_ind_csx_aux (G) (L):
      ∀A. ∀Q:predicate ….
-     (∀T1. ❪G,L❫ ⊢ T1 ⁝ A →
-       (∀T2. ❪G,L❫ ⊢ T1 ⬈ T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+     (∀T1. ❨G,L❩ ⊢ T1 ⁝ A →
+       (∀T2. ❨G,L❩ ⊢ T1 ⬈ T2 → (T1 ≅ T2 → ⊥) → Q T2) → Q T1
      ) →
-     ∀T. ❪G,L❫ ⊢ ⬈*𝐒 T → ❪G,L❫ ⊢ T ⁝ A →  Q T.
+     ∀T. ❨G,L❩ ⊢ ⬈*𝐒 T → ❨G,L❩ ⊢ T ⁝ A →  Q T.
 #G #L #A #Q #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
 qed-.
 
 lemma aaa_ind_csx (G) (L):
       ∀A. ∀Q:predicate ….
-      (∀T1. ❪G,L❫ ⊢ T1 ⁝ A →
-        (∀T2. ❪G,L❫ ⊢ T1 ⬈ T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+      (∀T1. ❨G,L❩ ⊢ T1 ⁝ A →
+        (∀T2. ❨G,L❩ ⊢ T1 ⬈ T2 → (T1 ≅ T2 → ⊥) → Q T2) → Q T1
       ) →
-      ∀T. ❪G,L❫ ⊢ T ⁝ A → Q T.
+      ∀T. ❨G,L❩ ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
 
 fact aaa_ind_csx_cpxs_aux (G) (L):
      ∀A. ∀Q:predicate ….
-     (∀T1. ❪G,L❫ ⊢ T1 ⁝ A →
-       (∀T2. ❪G,L❫ ⊢ T1 ⬈* T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+     (∀T1. ❨G,L❩ ⊢ T1 ⁝ A →
+       (∀T2. ❨G,L❩ ⊢ T1 ⬈* T2 → (T1 ≅ T2 → ⊥) → Q T2) → Q T1
      ) →
-     ∀T. ❪G,L❫ ⊢ ⬈*𝐒 T → ❪G,L❫ ⊢ T ⁝ A →  Q T.
+     ∀T. ❨G,L❩ ⊢ ⬈*𝐒 T → ❨G,L❩ ⊢ T ⁝ A →  Q T.
 #G #L #A #Q #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
 qed-.
 
 (* Basic_2A1: was: aaa_ind_csx_alt *)
 lemma aaa_ind_csx_cpxs (G) (L):
       ∀A. ∀Q:predicate ….
-      (∀T1. ❪G,L❫ ⊢ T1 ⁝ A →
-        (∀T2. ❪G,L❫ ⊢ T1 ⬈* T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+      (∀T1. ❨G,L❩ ⊢ T1 ⁝ A →
+        (∀T2. ❨G,L❩ ⊢ T1 ⬈* T2 → (T1 ≅ T2 → ⊥) → Q T2) → Q T1
       ) →
-      ∀T. ❪G,L❫ ⊢ T ⁝ A → Q T.
+      ∀T. ❨G,L❩ ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.