X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubsv_lsuba.ma;h=54be766bc3ba75571b4c1fdbc29743051c557d2d;hb=6f1f9e20aa2775d41bba64289fc903e6612baaf3;hp=97c77b05d4cdd4a19a48e0d21bc203264804ff73;hpb=7e06d9d148ae04a21943377debd933a742d0c2fa;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma
index 97c77b05d..54be766bc 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/equivalence/scpes_aaa.ma".
 include "basic_2/dynamic/snv_aaa.ma".
 include "basic_2/dynamic/lsubsv.ma".
 
@@ -20,12 +21,12 @@ include "basic_2/dynamic/lsubsv.ma".
 (* Forward lemmas on lenv refinement for atomic arity assignment ************)
 
 lemma lsubsv_fwd_lsuba: ∀h,g,G,L1,L2. G ⊢ L1 ⫃¡[h, g] L2 → G ⊢ L1 ⫃⁝ L2.
-#h #g #G #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
-#L1 #L2 #W #V #l #H1W #HV #HVW #H2W #H1l #_ #_ #IHL12
-lapply (snv_scast … HV H1W HVW H1l) -HV -H1W -HVW -H1l #HV
+#h #g #G #L1 #L2 #H elim H -L1 -L2 /2 width=1 by lsuba_pair/
+#L1 #L2 #W #V #l1 #H #_ #_ #_ #_ #IHL12
+elim (shnv_inv_cast … H) -H #HW #HV #H
+lapply (H 0 ?) // -l1 #HWV
+elim (snv_fwd_aaa … HW) -HW #B #HW
 elim (snv_fwd_aaa … HV) -HV #A #HV
-elim (snv_fwd_aaa … H2W) -H2W #B #HW
-elim (aaa_inv_cast … HV) #HWA #_
-lapply (lsuba_aaa_trans … HW … IHL12) #HWB
-lapply (aaa_mono … HWB … HWA) -HWB -HWA #H destruct /2 width=3/
+lapply (scpes_aaa_mono … HWV … HW … HV) #H destruct
+/4 width=5 by lsuba_aaa_conf, lsuba_beta, aaa_cast/
 qed-.