passive support for global environments completed!

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_ssta.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_ssta.ma
index 3ba30937eea5dd6e445ce526430ed2c7d740f0c8..5a2fae488b573cec5657ec4016efad66a2c08319 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_ssta.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_ssta.ma
@@ -19,26 +19,26 @@ include "basic_2/dynamic/snv_cpcs.ma".
 
 (* Properties on stratified static type assignment for terms ****************)
 
-fact snv_ssta_aux: ∀h,g,L0,T0.
-                   (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[h, g] ⦃L1, T1⦄ → IH_snv_cpr_lpr h g L1 T1) →
-                   (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[h, g] ⦃L1, T1⦄ → IH_ssta_cpr_lpr h g L1 T1) →
-                   (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[h, g] ⦃L1, T1⦄ → IH_snv_ssta h g L1 T1) →
-                   ∀L1,T1. L0 = L1 → T0 = T1 → IH_snv_ssta h g L1 T1.
-#h #g #L0 #T0 #IH3 #IH2 #IH1 #L1 * * [||||*]
-[ #k #HL0 #HT0 #_ #X #l #H2 destruct -IH3 -IH2 -IH1
+fact snv_ssta_aux: ∀h,g,G0,L0,T0.
+                   (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, g] ⦃G1, L1, T1⦄ → IH_snv_cpr_lpr h g G1 L1 T1) →
+                   (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, g] ⦃G1, L1, T1⦄ → IH_ssta_cpr_lpr h g G1 L1 T1) →
+                   (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, g] ⦃G1, L1, T1⦄ → IH_snv_ssta h g G1 L1 T1) →
+                   ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_snv_ssta h g G1 L1 T1.
+#h #g #G0 #L0 #T0 #IH3 #IH2 #IH1 #G1 #L1 * * [||||*]
+[ #k #HG0 #HL0 #HT0 #_ #X #l #H2 destruct -IH3 -IH2 -IH1
   elim (ssta_inv_sort1 … H2) -H2 #_ #H destruct //
-| #i #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2
+| #i #HG0 #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2
   elim (snv_inv_lref … H1) -H1 #I #K1 #V1 #HLK1 #HV1
   elim (ssta_inv_lref1 … H2) -H2 * #K0 #V0 #W1 [| #l ] #H #HVW1 #HX [| #_ ]
   lapply (ldrop_mono … H … HLK1) -H #H destruct
-  lapply (fsupp_lref … HLK1) #H
+  lapply (fsupp_lref … G1 … HLK1) #H
   lapply (ldrop_fwd_ldrop2 … HLK1) -HLK1 /4 width=7/
-| #p #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2 -IH1
+| #p #HG0 #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2 -IH1
   elim (snv_inv_gref … H1)
-| #a #I #V1 #T1 #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2
+| #a #I #V1 #T1 #HG0 #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2
   elim (snv_inv_bind … H1) -H1 #HV1 #HT1
   elim (ssta_inv_bind1 … H2) -H2 #U1 #HTU1 #H destruct /4 width=5/
-| #V1 #T1 #HL0 #HT0 #H1 #X #l #H2 destruct
+| #V1 #T1 #HG0 #HL0 #HT0 #H1 #X #l #H2 destruct
   elim (snv_inv_appl … H1) -H1 #a #W1 #W0 #T0 #l0 #HV1 #HT1 #HVW1 #HW10 #HT10
   elim (ssta_inv_appl1 … H2) -H2 #U1 #HTU1 #H destruct
   lapply (IH1 … HT1 … HTU1) -IH1 /2 width=1/ #HU1
@@ -47,7 +47,7 @@ fact snv_ssta_aux: ∀h,g,L0,T0.
   elim (cpcs_inv_abst2 … HU0) -HU0 #W2 #U2 #HU2 #HU02
   elim (cprs_inv_abst … HU02) -HU02 #HW02 #_
   lapply (cprs_trans … HW10 … HW02) -W0 /3 width=10 by snv_appl, ex2_intro/ (**) (* auto is too slow without trace *)
-| #W1 #T1 #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2
+| #W1 #T1 #HG0 #HL0 #HT0 #H1 #X #l #H2 destruct -IH3 -IH2
   elim (snv_inv_cast … H1) -H1 #U1 #l0 #HW1 #HT1 #HTU1 #HUW1
   lapply (ssta_inv_cast1 … H2) -H2 /3 width=5/
 ]