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@@ -30,16 +30,16 @@ lemma fpbs_tdeq_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T
 
 (* Properties with plus-iterated structural successor for closures **********)
 
-lemma fqup_fpbs: â\88\80h,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\8a\90+ ⦃G2,L2,T2⦄ →
+lemma fqup_fpbs: â\88\80h,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82+ ⦃G2,L2,T2⦄ →
                  ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2 
 /4 width=5 by fqu_fquq, fpbq_fquq, tri_step/
 qed.
 
 lemma fpbs_fqup_trans: ∀h,G1,G,L1,L,T1,T. ⦃G1,L1,T1⦄ ≥[h] ⦃G,L,T⦄ →
-                       â\88\80G2,L2,T2. â¦\83G,L,Tâ¦\84 â\8a\90+ ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
+                       â\88\80G2,L2,T2. â¦\83G,L,Tâ¦\84 â¬\82+ ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
 /3 width=5 by fpbs_fqus_trans, fqup_fqus/ qed-.
 
 lemma fqup_fpbs_trans: ∀h,G,G2,L,L2,T,T2. ⦃G,L,T⦄ ≥[h] ⦃G2,L2,T2⦄ →
-                       â\88\80G1,L1,T1. â¦\83G1,L1,T1â¦\84 â\8a\90+ ⦃G,L,T⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
+                       â\88\80G1,L1,T1. â¦\83G1,L1,T1â¦\84 â¬\82+ ⦃G,L,T⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
 /3 width=5 by fqus_fpbs_trans, fqup_fqus/ qed-.