+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "static_2/static/reqx_fqus.ma".
-include "static_2/static/feqx.ma".
-
-(* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
-
-(* Properties with star-iterated structural successor for closures **********)
-
-lemma feqx_fqus_trans (b):
- ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≛ ❪G,L,T❫ →
- ∀G2,L2,T2. ❪G,L,T❫ ⬂*[b] ❪G2,L2,T2❫ →
- ∃∃G,L0,T0. ❪G1,L1,T1❫ ⬂*[b] ❪G,L0,T0❫ & ❪G,L0,T0❫ ≛ ❪G2,L2,T2❫.
-#b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2
-elim(feqx_inv_gen_dx … H1) -H1 #HG #HL1 #HT1 destruct
-elim (reqx_fqus_trans … H2 … HL1) -L #L #T0 #H2 #HT02 #HL2
-elim (teqx_fqus_trans … H2 … HT1) -T #L0 #T #H2 #HT0 #HL0
-lapply (teqx_reqx_conf_sn … HT02 … HL0) -HL0 #HL0
-/4 width=7 by feqx_intro_dx, reqx_trans, teqx_trans, ex2_3_intro/
-qed-.