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diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma
index e17a1c85d..e69f071f2 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma
@@ -24,7 +24,7 @@ lemma tc_lfxs_refl: ∀R. (∀L. reflexive … (R L)) → ∀T. reflexive … (t
 
 (* Basic_2A1: uses: TC_lpx_sn_pair TC_lpx_sn_pair_refl *)
 lemma tc_lfxs_pair: ∀R. (∀L. reflexive … (R L)) →
-                    ∀L,V1,V2. LTC … R L V1 V2 → ∀I,T. L.ⓑ{I}V1 ⦻**[R, T] L.ⓑ{I}V2.
+                    ∀L,V1,V2. LTC … R L V1 V2 → ∀I,T. L.ⓑ{I}V1 ⪤**[R, T] L.ⓑ{I}V2.
 #R #HR #L #V1 #V2 #H elim H -V2
 /3 width=3 by tc_lfxs_step_dx, lfxs_pair, inj/
 qed.
@@ -33,16 +33,16 @@ qed.
 
 lemma tc_lfxs_ind_sn: ∀R. (∀L. reflexive … (R L)) →
                       ∀L1,T. ∀R0:predicate …. R0 L1 →
-                      (∀L,L2. L1 ⦻**[R, T] L → L ⦻*[R, T] L2 → R0 L → R0 L2) →
-                      ∀L2. L1 ⦻**[R, T] L2 → R0 L2.
+                      (∀L,L2. L1 ⪤**[R, T] L → L ⪤*[R, T] L2 → R0 L → R0 L2) →
+                      ∀L2. L1 ⪤**[R, T] L2 → R0 L2.
 #R #HR #L1 #T #R0 #HL1 #IHL1 #L2 #HL12
 @(TC_star_ind … HL1 IHL1 … HL12) /2 width=1 by lfxs_refl/
 qed-.
 
 lemma tc_lfxs_ind_dx: ∀R. (∀L. reflexive … (R L)) →
                       ∀L2,T. ∀R0:predicate …. R0 L2 →
-                      (∀L1,L. L1 ⦻*[R, T] L → L ⦻**[R, T] L2 → R0 L → R0 L1) →
-                      ∀L1. L1 ⦻**[R, T] L2 → R0 L1.
+                      (∀L1,L. L1 ⪤*[R, T] L → L ⪤**[R, T] L2 → R0 L → R0 L1) →
+                      ∀L1. L1 ⪤**[R, T] L2 → R0 L1.
 #R #HR #L2 #R0 #HL2 #IHL2 #L1 #HL12
 @(TC_star_ind_dx … HL2 IHL2 … HL12) /2 width=4 by lfxs_refl/
 qed-.