integrating the framework with fle ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lfdeq_length.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_length.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_length.ma
index 37a33504f98043e2c0fff67d3efa2aa20bbebb4e..1c7dee495ad75b64c1315c201efe5bd938af8df9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_length.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_length.ma
@@ -12,17 +12,21 @@
 (*                                                                        *)
 (**************************************************************************)
 
+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/lfdeq.ma".
 
 (* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
 
-(* Forward lemmas with length for local environments ************************)
+(* Advanved properties ******************************************************)
 
-(* Basic_2A1: lleq_fwd_length *)
-lemma lfdeq_fwd_length: ∀h,o,L1,L2. ∀T:term. L1 ≛[h, o, T] L2 → |L1| = |L2|.
-/2 width=3 by lfxs_fwd_length/ qed-.
+lemma lfdeq_fle_comp: ∀h,o. lfxs_fle_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)
+/3 width=8 by lveq_length_eq, ex4_4_intro/ (**) (* full auto fails *)
+qed-.
 
 (* Properties with length for local environments ****************************)
 
@@ -31,3 +35,10 @@ lemma lfdeq_lifts_bi: ∀L1,L2. |L1| = |L2| → ∀h,o,K1,K2,T. K1 ≛[h, o, T]
                       ∀b,f. ⬇*[b, f] L1 ≡ K1 → ⬇*[b, f] L2 ≡ K2 →
                       ∀U. ⬆*[f] T ≡ U → L1 ≛[h, o, U] L2.
 /3 width=9 by lfxs_lifts_bi, tdeq_lifts_sn/ qed-.
+
+(* Forward lemmas with length for local environments ************************)
+
+(* Basic_2A1: lleq_fwd_length *)
+lemma lfdeq_fwd_length: ∀h,o,L1,L2. ∀T:term. L1 ≛[h, o, T] L2 → |L1| = |L2|.
+/2 width=3 by lfxs_fwd_length/ qed-.
+