1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "basic_2/substitution/lleq_lleq.ma".
16 include "basic_2/computation/lpxs_lpxs.ma".
17 include "basic_2/computation/fpns.ma".
19 (* PARALLEL COMPUTATION FOR "BIG TREE" NORMAL FORMS *************************)
21 (* Main properties **********************************************************)
23 theorem fpns_trans: ∀h,g. tri_transitive … (fpns h g).
24 #h #g #G1 #G #L1 #L #T1 #T * -G -L -T
25 #L #HL1 #HT1 #G2 #L2 #T2 * -G2 -L2 -T2
26 /3 width=3 by lpxs_trans, lleq_trans, fpns_intro/