X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubsv_lsuba.ma;h=51d4902222b92e15ae86687bc04448c028340c0a;hb=b634a816745cf8a9a7ad14650d088232c8ee1a1a;hp=aa270a256d975cd767fb7105390d45db849afd3b;hpb=fdb2c62b58006b82c015ba70b494d50c7860e28f;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 aa270a256..51d490222 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".
 
@@ -19,13 +20,13 @@ 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
+lemma lsubsv_fwd_lsuba: ∀h,o,G,L1,L2. G ⊢ L1 ⫃¡[h, o] L2 → G ⊢ L1 ⫃⁝ L2.
+#h #o #G #L1 #L2 #H elim H -L1 -L2 /2 width=1 by lsuba_pair/
+#L1 #L2 #W #V #d1 #H #_ #_ #_ #_ #IHL12
+elim (shnv_inv_cast … H) -H #HW #HV #H
+lapply (H 0 ?) // -d1 #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-.