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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma
index 3a86118e1..5a00dc678 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma
@@ -12,18 +12,18 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/fdeq.ma".
+include "static_2/static/fdeq.ma".
 include "basic_2/rt_transition/cpx_rdeq.ma".
 include "basic_2/rt_transition/rpx_rdeq.ma".
 
 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
 
-(* Properties with degree-based equivalence for closures ********************)
+(* Properties with sort-irrelevant equivalence for closures *****************)
 
-lemma fdeq_cpx_trans: ∀h,o,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T⦄ →
+lemma fdeq_cpx_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T⦄ →
                       ∀T2. ⦃G2, L2⦄ ⊢ T ⬈[h] T2 →
-                      ∃∃T0. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1, L1, T0⦄ ≛[h, o] ⦃G2, L2, T2⦄.
-#h #o #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
+                      ∃∃T0. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1, L1, T0⦄ ≛ ⦃G2, L2, T2⦄.
+#h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
 elim (fdeq_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
 elim (rdeq_cpx_trans … HL12 … HT2) #T0 #HT0 #HT02
 lapply (cpx_rdeq_conf_dx … HT2 … HL12) -HL12 #HL12