(* *)
(**************************************************************************)
-include "basic_2/syntax/lveq_length.ma".
include "basic_2/relocation/lifts_tdeq.ma".
include "basic_2/static/lfxs_length.ma".
+include "basic_2/static/lfxs_fsle.ma".
include "basic_2/static/lfdeq.ma".
(* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
-(* Advanved properties ******************************************************)
+(* Advanved properties with free variables inclusion ************************)
-lemma lfdeq_fle_comp: ∀h,o. lfxs_fle_compatible (cdeq h o).
+lemma lfdeq_fsge_comp: ∀h,o. lfxs_fsge_compatible (cdeq h o).
#h #o #L1 #L2 #T * #f1 #Hf1 #HL12
lapply (frees_lfdeq_conf h o … Hf1 … HL12)
lapply (lexs_fwd_length … HL12)
(* Basic_2A1: uses: lleq_lift_le lleq_lift_ge *)
lemma lfdeq_lifts_bi: ∀L1,L2. |L1| = |L2| → ∀h,o,K1,K2,T. K1 ≛[h, o, T] K2 →
- â\88\80b,f. â¬\87*[b, f] L1 â\89¡ K1 â\86\92 â¬\87*[b, f] L2 â\89¡ K2 →
- â\88\80U. â¬\86*[f] T â\89¡ U → L1 ≛[h, o, U] L2.
+ â\88\80b,f. â¬\87*[b, f] L1 â\89\98 K1 â\86\92 â¬\87*[b, f] L2 â\89\98 K2 →
+ â\88\80U. â¬\86*[f] T â\89\98 U → L1 ≛[h, o, U] L2.
/3 width=9 by lfxs_lifts_bi, tdeq_lifts_sn/ qed-.
(* Forward lemmas with length for local environments ************************)