include "basic_2/substitution/lleq_fqus.ma".
include "basic_2/substitution/lleq_lleq.ma".
-include "basic_2/computation/llpxs_lleq.ma".
+include "basic_2/computation/cpxs_lleq.ma".
+include "basic_2/computation/lpxs_lleq.ma".
include "basic_2/computation/fpbu.ma".
(* UNITARY "BIG TREE" PROPER PARALLEL COMPUTATION FOR CLOSURES **************)
[ #G #L2 #U #H2 elim (lleq_fqup_trans … H2 … HT) -K2
/3 width=3 by fpbu_fqup, ex2_intro/
| /4 width=10 by fpbu_cpxs, cpxs_lleq_conf_sn, lleq_cpxs_trans, ex2_intro/
-| /5 width=3 by fpbu_llpxs, lleq_llpxs_trans, lleq_canc_sn, ex2_intro/
+| #L2 #HKL2 #HnKL2 elim (lleq_lpxs_trans … HKL2 … HT) -HKL2
+ /6 width=3 by fpbu_lpxs, lleq_canc_sn, ex2_intro/ (* 2 lleq_canc_sn *)
]
qed-.