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 "static_2/static/feqx_feqx.ma".
16 include "basic_2/rt_transition/fpbc.ma".
18 (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
20 (* Inversrion lemmas with parallel rst-transition for closures **************)
22 (* Basic_2A1: uses: fpbq_ind_alt *)
24 ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ →
25 ∨∨ ❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫
26 | ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫.
27 #G1 #G2 #L1 #L2 #T1 #T2 #H
28 elim (feqx_dec G1 G2 L1 L2 T1 T2)
29 /4 width=1 by fpbc_intro, or_intror, or_introl/