renaming in basic_2

[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 66e802aaed6e8348ef63c69c2deba38a170b267a..7bd8f30edc342c603fadae775c6a39a49adffec3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
@@ -13,42 +13,42 @@
 (**************************************************************************)
 
 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 *****************)
+(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
 
-(* Properties concerning atomic arity assignment ****************************)
+(* Properties with atomic arity assignment **********************************)
 
-lemma lsuba_aaa_conf: ∀L1,V,A. L1 ⊢ V ⁝ A → ∀L2. L1 ⁝⊑ L2 → L2 ⊢ V ⁝ A.
-#L1 #V #A #H elim H -L1 -V -A
+lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G, L1⦄ ⊢ V ⁝ A →
+                      ∀L2. G ⊢ L1 ⫃⁝ L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
+#G #L1 #V #A #H elim H -G -L1 -V -A
 [ //
-| #I #L1 #K1 #V1 #B #i #HLK1 #HV1B #IHV1 #L2 #HL12
-  elim (lsuba_ldrop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2
-  elim (lsuba_inv_pair1 … H) -H * #K2
-  [ #HK12 #H destruct /3 width=5/
-  | #V2 #A1 #HV1A1 #HV2 #_ #H1 #H2 destruct
-    >(aaa_mono … HV1B … HV1A1) -B -HV1A1 /2 width=5/
-  ]
-| /4 width=2/
-| /4 width=1/
-| /3 width=3/
-| /3 width=1/
+| #I #G #L1 #V #A #HA #IH #L2 #H
+  elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_zero/
+  #L0 #W0 #V0 #A0 #HV0 #HW0 #HL10 #H1 #H2 destruct
+  lapply (aaa_mono … HV0 … HA) #H destruct -V0 -L1 /2 width=1 by aaa_zero/
+| #I #G #K1 #A #i #_ #IH #L2 #H
+  elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_lref/
+| /4 width=2 by lsuba_bind, aaa_abbr/
+| /4 width=1 by lsuba_bind, aaa_abst/
+| /3 width=3 by aaa_appl/
+| /3 width=1 by aaa_cast/
 ]
-qed.
+qed-.
 
-lemma lsuba_aaa_trans: ∀L2,V,A. L2 ⊢ V ⁝ A → ∀L1. L1 ⁝⊑ L2 → L1 ⊢ V ⁝ A.
-#L2 #V #A #H elim H -L2 -V -A
+lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G, L2⦄ ⊢ V ⁝ A →
+                       ∀L1. G ⊢ L1 ⫃⁝ L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
+#G #L2 #V #A #H elim H -G -L2 -V -A
 [ //
-| #I #L2 #K2 #V2 #B #i #HLK2 #HV2B #IHV2 #L1 #HL12
-  elim (lsuba_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
-  elim (lsuba_inv_pair2 … H) -H * #K1
-  [ #HK12 #H destruct /3 width=5/
-  | #V1 #A1 #HV1 #HV2A1 #_ #H1 #H2 destruct
-    >(aaa_mono … HV2B … HV2A1) -B -HV2A1 /2 width=5/
-  ]
-| /4 width=2/
-| /4 width=1/
-| /3 width=3/
-| /3 width=1/
+| #I #G #L2 #V #A #HA #IH #L1 #H
+  elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_zero/
+  #L0 #V0 #W0 #A0 #HV0 #HW0 #HL02 #H1 #H2 destruct
+  lapply (aaa_mono … HW0 … HA) #H destruct -L2 /2 width=1 by aaa_zero/
+| #I #G #K2 #A #i #_ #IH #L1 #H
+  elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_lref/
+| /4 width=2 by lsuba_bind, aaa_abbr/
+| /4 width=1 by lsuba_bind, aaa_abst/
+| /3 width=3 by aaa_appl/
+| /3 width=1 by aaa_cast/
 ]
-qed.
+qed-.