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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
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9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
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13 (**************************************************************************)
14
15 include "basic_2/reducibility/tpr_tpr.ma".
16 include "basic_2/reducibility/fpr.ma".
17
18 (* CONTEXT-FREE PARALLEL REDUCTION ON CLOSURES ******************************)
19
20 (* Main properties **********************************************************)
21
22 theorem fpr_conf: bi_confluent … fpr.
23 #L0 #L1 #T0 #T1 * #HL01 #HT01 #L2 #T2 * >HL01 #HL12 #HT02
24 elim (tpr_conf … HT01 HT02) -L0 -T0 #X #H1 #H2
25 elim (tpr_fwd_shift1 … H1) #L #T #HL1 #H destruct /3 width=5/
26 qed.