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diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma
index 87d3864ff..d6c1409a7 100644
--- a/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle_drops.ma
@@ -20,7 +20,7 @@ include "static_2/static/fsle_length.ma".
 (* Advanced properties ******************************************************)
 
 lemma fsle_lifts_sn: ∀T1,U1. ⇧[1] T1 ≘ U1 → ∀L1,L2. |L2| ≤ |L1| →
-                     ∀T2. ❪L1,T1❫ ⊆ ❪L2,T2❫ → ❪L1.ⓧ,U1❫ ⊆ ❪L2,T2❫.
+                     ∀T2. ❨L1,T1❩ ⊆ ❨L2,T2❩ → ❨L1.ⓧ,U1❩ ⊆ ❨L2,T2❩.
 #T1 #U1 #HTU1 #L1 #L2 #H1L #T2
 * #n #m #f #g #Hf #Hg #H2L #Hfg
 lapply (lveq_length_fwd_dx … H2L ?) // -H1L #H destruct
@@ -31,7 +31,7 @@ qed-.
 
 lemma fsle_lifts_dx (L1) (L2):
                     |L1| ≤ |L2| → ∀T2,U2. ⇧[1]T2 ≘ U2 →
-                    ∀T1. ❪L1,T1❫ ⊆ ❪L2,T2❫ → ❪L1,T1❫ ⊆ ❪L2.ⓧ,U2❫.
+                    ∀T1. ❨L1,T1❩ ⊆ ❨L2,T2❩ → ❨L1,T1❩ ⊆ ❨L2.ⓧ,U2❩.
 #L1 #L2 #HL21 #T2 #U2 #HTU2 #T1
 * #n #m #f #g #Hf #Hg #H2L #Hfg
 lapply (lveq_length_fwd_sn … H2L ?) // -HL21 #H destruct
@@ -40,8 +40,8 @@ lapply (frees_lifts_SO (Ⓣ) (L2.ⓧ) … HTU2 … Hg)
 @(ex4_4_intro … Hf Hg) /2 width=4 by lveq_void_dx/ (**) (* explict constructor *)
 qed-.
 
-lemma fsle_lifts_SO_sn: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ❪K1,V1❫ ⊆ ❪K2,V2❫ →
-                        ∀W1. ⇧[1] V1 ≘ W1 → ∀I1,I2. ❪K1.ⓘ[I1],W1❫ ⊆ ❪K2.ⓑ[I2]V2,#O❫.
+lemma fsle_lifts_SO_sn: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ❨K1,V1❩ ⊆ ❨K2,V2❩ →
+                        ∀W1. ⇧[1] V1 ≘ W1 → ∀I1,I2. ❨K1.ⓘ[I1],W1❩ ⊆ ❨K2.ⓑ[I2]V2,#O❩.
 #K1 #K2 #HK #V1 #V2
 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12
 #W1 #HVW1 #I1 #I2
@@ -49,9 +49,9 @@ elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct
 /5 width=12 by frees_lifts_SO, frees_pair, drops_refl, drops_drop, lveq_bind, pr_sle_weak, ex4_4_intro/
 qed.
 
-lemma fsle_lifts_SO: ∀K1,K2. |K1| = |K2| → ∀T1,T2. ❪K1,T1❫ ⊆ ❪K2,T2❫ →
+lemma fsle_lifts_SO: ∀K1,K2. |K1| = |K2| → ∀T1,T2. ❨K1,T1❩ ⊆ ❨K2,T2❩ →
                      ∀U1,U2. ⇧[1] T1 ≘ U1 → ⇧[1] T2 ≘ U2 →
-                     ∀I1,I2.  ❪K1.ⓘ[I1],U1❫ ⊆ ❪K2.ⓘ[I2],U2❫.
+                     ∀I1,I2.  ❨K1.ⓘ[I1],U1❩ ⊆ ❨K2.ⓘ[I2],U2❩.
 #K1 #K2 #HK #T1 #T2
 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12
 #U1 #U2 #HTU1 #HTU2 #I1 #I2
@@ -62,8 +62,8 @@ qed.
 (* Advanced inversion lemmas ************************************************)
 
 lemma fsle_inv_lifts_sn: ∀T1,U1. ⇧[1] T1 ≘ U1 →
-                         ∀I1,I2,L1,L2,V1,V2,U2. ❪L1.ⓑ[I1]V1,U1❫ ⊆ ❪L2.ⓑ[I2]V2,U2❫ →
-                         ∀p. ❪L1,T1❫ ⊆ ❪L2,ⓑ[p,I2]V2.U2❫.
+                         ∀I1,I2,L1,L2,V1,V2,U2. ❨L1.ⓑ[I1]V1,U1❩ ⊆ ❨L2.ⓑ[I2]V2,U2❩ →
+                         ∀p. ❨L1,T1❩ ⊆ ❨L2,ⓑ[p,I2]V2.U2❩.
 #T1 #U1 #HTU1 #I1 #I2 #L1 #L2 #V1 #V2 #U2
 * #n #m #f2 #g2 #Hf2 #Hg2 #HL #Hfg2 #p
 elim (lveq_inv_pair_pair … HL) -HL #HL #H1 #H2 destruct