some renaming and some typos corrected ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
index 8818ae48c0de4343ccd882afdc211cfa0e8dacc9..6f8e00c84ebf2cf4827ff0f7fe40b542a3704894 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
@@ -13,44 +13,44 @@
 (**************************************************************************)
 
 include "basic_2/static/aaa_aaa.ma".
-include "basic_2/static/lsuba_ldrop.ma".
+include "basic_2/static/lsuba.ma".
 
 (* LOCAL ENVIRONMENT REFINEMENT FOR ATOMIC ARITY ASSIGNMENT *****************)
 
 (* Properties concerning atomic arity assignment ****************************)
 
 lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G, L1⦄ ⊢ V ⁝ A →
-                      â\88\80L2. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
+                      â\88\80L2. G â\8a¢ L1 â«\83â\81\9d L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
 #G #L1 #V #A #H elim H -G -L1 -V -A
 [ //
 | #I #G #L1 #K1 #V #A #i #HLK1 #HV #IHV #L2 #HL12
-  elim (lsuba_ldrop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2
+  elim (lsuba_drop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2
   elim (lsuba_inv_pair1 … H) -H * #K2
-  [ #HK12 #H destruct /3 width=5/
+  [ #HK12 #H destruct /3 width=5 by aaa_lref/
   | #W0 #V0 #A0 #HV0 #HW0 #_ #H1 #H2 #H3 destruct
-    lapply (aaa_mono … HV0 … HV) #H destruct -V0 /2 width=5/
+    lapply (aaa_mono … HV0 … HV) #H destruct -V0 /2 width=5 by aaa_lref/
   ]
-| /4 width=2/
-| /4 width=1/
-| /3 width=3/
-| /3 width=1/
+| /4 width=2 by lsuba_pair, aaa_abbr/
+| /4 width=1 by lsuba_pair, aaa_abst/
+| /3 width=3 by aaa_appl/
+| /3 width=1 by aaa_cast/
 ]
 qed-.
 
 lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G, L2⦄ ⊢ V ⁝ A →
-                       â\88\80L1. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
+                       â\88\80L1. G â\8a¢ L1 â«\83â\81\9d L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
 #G #L2 #V #A #H elim H -G -L2 -V -A
 [ //
 | #I #G #L2 #K2 #V #A #i #HLK2 #H1V #IHV #L1 #HL12
-  elim (lsuba_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
+  elim (lsuba_drop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
   elim (lsuba_inv_pair2 … H) -H * #K1
-  [ #HK12 #H destruct /3 width=5/
+  [ #HK12 #H destruct /3 width=5 by aaa_lref/
   | #V0 #A0 #HV0 #H2V #_ #H1 #H2 destruct
-    lapply (aaa_mono … H2V … H1V) #H destruct -K2 /2 width=5/
+    lapply (aaa_mono … H2V … H1V) #H destruct -K2 /2 width=5 by aaa_lref/
   ]
-| /4 width=2/
-| /4 width=1/
-| /3 width=3/
-| /3 width=1/
+| /4 width=2 by lsuba_pair, aaa_abbr/
+| /4 width=1 by lsuba_pair, aaa_abst/
+| /3 width=3 by aaa_appl/
+| /3 width=1 by aaa_cast/
 ]
 qed-.