X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Flifts_tdeq.ma;h=fb5d8247f0d32188a677b6b18effa26094d79fb6;hp=0b0dbf92f679a10ca6ec8bcb96fcee09209f3f5e;hb=50a9ed8c6207145fccf59e6a5dbbff935cd2c6d7;hpb=d71e53021b0c17e1a00c2d623e7139c6d18069d5

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tdeq.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tdeq.ma
index 0b0dbf92f..fb5d8247f 100644
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tdeq.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tdeq.ma
@@ -64,3 +64,21 @@ qed-.
 
 lemma tdeq_inv_lifts_bi: ∀h,o. deliftable2_bi (tdeq h o).
 /3 width=6 by tdeq_inv_lifts_sn, deliftable2_sn_bi/ qed-.
+
+lemma tdeq_lifts_inv_pair_sn (h) (o) (I) (f:rtmap):
+                             ∀X,T. ⬆*[f]X ≘ T → ∀V. ②{I}V.T ≛[h,o] X → ⊥.
+#h #o #I #f #X #T #H elim H -f -X -T
+[ #f #s #V #H
+  elim (tdeq_inv_pair1 … H) -H #X1 #X2 #_ #_ #H destruct
+| #f #i #j #_ #V #H
+  elim (tdeq_inv_pair1 … H) -H #X1 #X2 #_ #_ #H destruct
+| #f #l #V #H
+  elim (tdeq_inv_pair1 … H) -H #X1 #X2 #_ #_ #H destruct
+| #f #p #J #X1 #T1 #X2 #T2 #_ #_ #_ #IH2 #V #H
+  elim (tdeq_inv_pair1 … H) -H #Z1 #Z2 #_ #HZ2 #H destruct
+  /2 width=2 by/
+| #f #J #X1 #T1 #X2 #T2 #_ #_ #_ #IH2 #V #H
+  elim (tdeq_inv_pair1 … H) -H #Z1 #Z2 #_ #HZ2 #H destruct
+  /2 width=2 by/
+]
+qed-.