passive support for global environments completed!

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / lsubsv_ssta.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ssta.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ssta.ma
index 15f2e14b77bd261106d770366fd9bd870d4ba8a1..dc922ff5424eb152fb84d12390437d7acacc8763 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ssta.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ssta.ma
@@ -20,12 +20,12 @@ include "basic_2/dynamic/lsubsv_ldrop.ma".
 
 (* Properties on stratified static type assignment **************************)
 
-lemma lsubsv_ssta_trans: ∀h,g,L2,T,U2,l. ⦃h, L2⦄ ⊢ T •[h, g] ⦃l, U2⦄ →
-                         ∀L1. h ⊢ L1 ¡⊑[h, g] L2 →
-                         ∃∃U1. ⦃h, L1⦄ ⊢ T •[h, g] ⦃l, U1⦄ & L1 ⊢ U1 ⬌* U2.
-#h #g #L2 #T #U #l #H elim H -L2 -T -U -l
+lemma lsubsv_ssta_trans: ∀h,g,G,L2,T,U2,l. ⦃G, L2⦄ ⊢ T •[h, g] ⦃l, U2⦄ →
+                         ∀L1. G ⊢ L1 ¡⊑[h, g] L2 →
+                         ∃∃U1. ⦃G, L1⦄ ⊢ T •[h, g] ⦃l, U1⦄ & ⦃G, L1⦄ ⊢ U1 ⬌* U2.
+#h #g #G #L2 #T #U #l #H elim H -G -L2 -T -U -l
 [ /3 width=3/
-| #L2 #K2 #X #Y #U #i #l #HLK2 #_ #HYU #IHXY #L1 #HL12
+| #G #L2 #K2 #X #Y #U #i #l #HLK2 #_ #HYU #IHXY #L1 #HL12
   elim (lsubsv_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
   elim (lsubsv_inv_pair2 … H) -H * #K1 [ | -HYU -IHXY -HLK1 ]
   [ #HK12 #H destruct
@@ -34,7 +34,7 @@ lemma lsubsv_ssta_trans: ∀h,g,L2,T,U2,l. ⦃h, L2⦄ ⊢ T •[h, g] ⦃l, U2
     elim (lift_total T 0 (i+1)) /3 width=11/
   | #V #W1 #V2 #l0 #_ #_ #_ #_ #_ #H destruct
   ]
-| #L2 #K2 #Y #X #U #i #l #HLK2 #HYX #HYU #IHYX #L1 #HL12
+| #G #L2 #K2 #Y #X #U #i #l #HLK2 #HYX #HYU #IHYX #L1 #HL12
   elim (lsubsv_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
   elim (lsubsv_inv_pair2 … H) -H * #K1 [ -HYX | -IHYX ]
   [ #HK12 #H destruct
@@ -47,11 +47,11 @@ lemma lsubsv_ssta_trans: ∀h,g,L2,T,U2,l. ⦃h, L2⦄ ⊢ T •[h, g] ⦃l, U2
     elim (lift_total W 0 (i+1))
     /4 width=11 by cpcs_lift, ex2_intro, ssta_ldef, ssta_cast/
   ]
-| #a #I #L2 #V2 #T2 #U2 #l #_ #IHTU2 #L1 #HL12
+| #a #I #G #L2 #V2 #T2 #U2 #l #_ #IHTU2 #L1 #HL12
   elim (IHTU2 (L1.ⓑ{I}V2) …) [2: /2 width=1/ ] -L2 /3 width=3/
-| #L2 #V2 #T2 #U2 #l #_ #IHTU2 #L1 #HL12
+| #G #L2 #V2 #T2 #U2 #l #_ #IHTU2 #L1 #HL12
   elim (IHTU2 … HL12) -L2 /3 width=5/
-| #L2 #W2 #T2 #U2 #l #_ #IHTU2 #L1 #HL12
+| #G #L2 #W2 #T2 #U2 #l #_ #IHTU2 #L1 #HL12
   elim (IHTU2 … HL12) -L2 /3 width=3/
 ]
 qed-.