]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_lsubr.ma
syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpg_lsubr.ma
index 131d28b9c78a68c14ff96bb153d45023d9423735..ed99d317abeaa88de4c30c3e0c28a4fc166b1d27 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/lsubr.ma".
+include "static_2/static/lsubr.ma".
 include "basic_2/rt_transition/cpg.ma".
 
-(* CONTEXT-SENSITIVE GENERIC PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *****************)
 
 (* Properties with restricted refinement for local environments *************)
 
-lemma lsubr_cpg_trans: ∀h,c,G. lsub_trans … (cpg h c G) lsubr.
-#h #c #G #L1 #T1 #T2 #H elim H -c -G -L1 -T1 -T2
+lemma lsubr_cpg_trans: ∀Rt,c,h,G. lsub_trans … (cpg Rt h c G) lsubr.
+#Rt #c #h #G #L1 #T1 #T2 #H elim H -c -G -L1 -T1 -T2
 [ //
-| /2 width=2 by cpg_st/
+| /2 width=2 by cpg_ess/
 | #c #G #L1 #V1 #V2 #W2 #_ #HVW2 #IH #X #H
   elim (lsubr_inv_abbr2 … H) -H #L2 #HL21 #H destruct
   /3 width=3 by cpg_delta/
 | #c #G #L1 #V1 #V2 #W2 #_ #HVW2 #IH #X #H
   elim (lsubr_inv_abst2 … H) -H * #L2 [2: #V ] #HL21 #H destruct
-  /4 width=3 by cpg_delta, cpg_lt, cpg_ct/
-| #c #I1 #G #L1 #V1 #T1 #U1 #i #_ #HTU1 #IH #X #H
-  elim (lsubr_fwd_pair2 … H) -H #I2 #L2 #V2 #HL21 #H destruct
-  /3 width=3 by cpt_lref/
-|6,11: /4 width=1 by cpg_bind, cpg_beta, lsubr_pair/
-|7,9,10: /3 width=1 by cpg_flat, cpg_eps, cpg_ct/
-|8,12: /4 width=3 by cpg_zeta, cpg_theta, lsubr_pair/
+  /4 width=3 by cpg_delta, cpg_ell, cpg_ee/
+| #c #I1 #G #L1 #T1 #U1 #i #_ #HTU1 #IH #X #H
+  elim (lsubr_fwd_bind2 … H) -H #I2 #L2 #HL21 #H destruct
+  /3 width=3 by cpg_lref/
+|6,12: /4 width=1 by cpg_bind, cpg_beta, lsubr_bind/
+|7,8,10,11: /3 width=1 by cpg_appl, cpg_cast, cpg_eps, cpg_ee/
+|9,13: /4 width=3 by cpg_zeta, cpg_theta, lsubr_bind/
 ]
 qed-.