renaming

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lfdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lfdeq.ma
index cb6b1d180477ef7652638c65f92d7a69f6e41746..a018781282abca5f94d39a2bf5029cfeffdf6602 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lfdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lfdeq.ma
@@ -19,27 +19,27 @@ include "basic_2/static/aaa.ma".
 
 (* Properties with degree-based equivalence on referred entries *************)
 
-lemma aaa_tdeq_conf_fldeq: ∀h,o,G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀T2. T1 ≡[h, o] T2 →
-                           â\88\80L2. L1 â\89¡[h, o, T1] L2 → ⦃G, L2⦄ ⊢ T2 ⁝ A.
+lemma aaa_tdeq_conf_lfdeq: ∀h,o,G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀T2. T1 ≛[h, o] T2 →
+                           â\88\80L2. L1 â\89\9b[h, o, T1] L2 → ⦃G, L2⦄ ⊢ T2 ⁝ A.
 #h #o #G #L1 #T1 #A #H elim H -G -L1 -T1 -A
 [ #G #L1 #s1 #X #H1 elim (tdeq_inv_sort1 … H1) -H1 //
 | #I #G #L1 #V1 #B #_ #IH #X #H1 >(tdeq_inv_lref1 … H1) -H1
   #Y #H2 elim (lfdeq_inv_zero_pair_sn … H2) -H2
-  #L2 #V2 #HL12 #HV12 #H2 destruct /3 width=1 by aaa_zero/
-| #I #G #L1 #V1 #A #i #_ #IH #X #H1 >(tdeq_inv_lref1 … H1) -H1
-  #Y #H2 elim (lfdeq_inv_lref_pair_sn … H2) -H2
-  #L2 #V2 #HL12 #H2 destruct /3 width=1 by aaa_lref/
+  #L2 #V2 #HL12 #HV12 #H destruct /3 width=1 by aaa_zero/
+| #I #G #L1 #A #i #_ #IH #X #H1 >(tdeq_inv_lref1 … H1) -H1
+  #Y #H2 elim (lfdeq_inv_lref_bind_sn … H2) -H2
+  #J #L2 #HL12 #H destruct /3 width=1 by aaa_lref/
 | #p #G #L1 #V1 #T1 #B #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H1 #L2 #H2 elim (lfdeq_inv_bind … H2) -H2
-  /4 width=2 by aaa_abbr, lfdeq_pair_repl_dx/
+  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_bind … H2) -H2 destruct
+  /5 width=2 by aaa_abbr, lfdeq_bind_repl_dx, ext2_pair/
 | #p #G #L1 #V1 #T1 #B #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H1 #L2 #H2 elim (lfdeq_inv_bind … H2) -H2
-  /4 width=2 by aaa_abst, lfdeq_pair_repl_dx/
+  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_bind … H2) -H2 destruct
+  /5 width=2 by aaa_abst, lfdeq_bind_repl_dx, ext2_pair/
 | #G #L1 #V1 #T1 #B #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H1 #L2 #H2 elim (lfdeq_inv_flat … H2) -H2
+  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_flat … H2) -H2 destruct
   /3 width=3 by aaa_appl/
 | #G #L1 #V1 #T1 #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H1 #L2 #H2 elim (lfdeq_inv_flat … H2) -H2
+  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_flat … H2) -H2 destruct
   /3 width=1 by aaa_cast/
 ]
 qed-.