some renaming and some typos corrected ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_snv.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_snv.ma
index dcf7b73478858d26ccc6f070ccde0e283a67de89..0777e36cd0083f144d464cf942a990ff6252d5dd 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_snv.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_snv.ma
@@ -22,10 +22,10 @@ include "basic_2/dynamic/lsubsv_cpcs.ma".
 (* Properties concerning stratified native validity *************************)
 
 lemma lsubsv_snv_trans: ∀h,g,G,L2,T. ⦃G, L2⦄ ⊢ T ¡[h, g] →
-                        ∀L1. G ⊢ L1 ¡⊑[h, g] L2 → ⦃G, L1⦄ ⊢ T ¡[h, g].
+                        ∀L1. G ⊢ L1 ⫃¡[h, g] L2 → ⦃G, L1⦄ ⊢ T ¡[h, g].
 #h #g #G #L2 #T #H elim H -G -L2 -T //
 [ #I #G #L2 #K2 #V #i #HLK2 #_ #IHV #L1 #HL12
-  elim (lsubsv_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
+  elim (lsubsv_drop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
   elim (lsubsv_inv_pair2 … H) -H * #K1
   [ #HK12 #H destruct /3 width=5 by snv_lref/
   | #W #l #H1V #H1W #HWV #_ #HWl #_ #_ #H1 #H2 destruct -IHV
@@ -35,7 +35,7 @@ lemma lsubsv_snv_trans: ∀h,g,G,L2,T. ⦃G, L2⦄ ⊢ T ¡[h, g] →
   /4 width=1 by snv_bind, lsubsv_pair/
 | #a #G #L2 #V #W #W0 #T #U #l #_ #_ #HVl #HVW #HW0 #HTU #IHV #IHT #L1 #HL12
   lapply (lsubsv_cprs_trans … HL12 … HW0) -HW0 #HW0
-  elim (lsubsv_ssta_trans … HVW … HVl … HL12) -HVW #W1 #HVW1 #HW1
+  elim (lsubsv_sta_trans … HVW … HVl … HL12) -HVW #W1 #HVW1 #HW1
   lapply (cpcs_cprs_strap1 … HW1 … HW0) -W #HW10
   lapply (lsubd_da_trans … HVl L1 ?) -HVl /2 width=1 by lsubsv_fwd_lsubd/ #HVl
   elim (lsubsv_cpds_trans … HTU … HL12) -HTU #X #HTU #H
@@ -45,7 +45,7 @@ lemma lsubsv_snv_trans: ∀h,g,G,L2,T. ⦃G, L2⦄ ⊢ T ¡[h, g] →
   /4 width=11 by snv_appl, cpds_cprs_trans, cprs_bind/
 | #G #L2 #W #T #U #l #_ #_ #HTl #HTU #HUW #IHW #IHT #L1 #HL12
   lapply (lsubsv_cpcs_trans … HL12 … HUW) -HUW #HUW
-  elim (lsubsv_ssta_trans … HTU … HTl … HL12) -HTU #U0 #HTU0 #HU0
+  elim (lsubsv_sta_trans … HTU … HTl … HL12) -HTU #U0 #HTU0 #HU0
   lapply (lsubd_da_trans … HTl L1 ?) -HTl
   /4 width=5 by lsubsv_fwd_lsubd, snv_cast, cpcs_trans/
 ]