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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_aaa.ma
index 94a822999..ef7deb9ac 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_aaa.ma
@@ -12,17 +12,19 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/fpbq_aaa.ma".
-include "basic_2/rt_computation/fpbs.ma".
+include "basic_2/rt_transition/fpb_aaa.ma".
+include "basic_2/rt_computation/fpbs_fqup.ma".
 
 (* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
 
 (* Properties with atomic arity assignment for terms ************************)
 
 lemma fpbs_aaa_conf:
-      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫ →
-      ∀A1. ❪G1,L1❫ ⊢ T1 ⁝ A1 → ∃A2. ❪G2,L2❫ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2 /2 width=2 by ex_intro/
-#G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A
-/2 width=8 by fpbq_aaa_conf/
+      ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩ →
+      ∀A1. ❨G1,L1❩ ⊢ T1 ⁝ A1 → ∃A2. ❨G2,L2❩ ⊢ T2 ⁝ A2.
+#G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
+[ /2 width=2 by ex_intro/
+| #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A
+  /2 width=8 by fpb_aaa_conf/
+]
 qed-.