lambdadelta

[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 1482dd986641ab3c13a9b46e5bcf99b3df41404d..078b8fa89d3e7dc422abee1dfee39953302fee92 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_snv.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_snv.ma
@@ -12,9 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/dxprs_dxprs.ma".
-include "basic_2/dynamic/lsubsv_ldrop.ma".
-include "basic_2/dynamic/lsubsv_dxprs.ma".
+include "basic_2/computation/cpds_cpds.ma".
+include "basic_2/dynamic/lsubsv_cpds.ma".
 include "basic_2/dynamic/lsubsv_cpcs.ma".
 
 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
@@ -22,8 +21,8 @@ include "basic_2/dynamic/lsubsv_cpcs.ma".
 (* Properties concerning stratified native validity *************************)
 
 fact snv_lsubsv_aux: ∀h,g,L0,T0.
-                     (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_ltpr_tpr h g L1 T1) →
-                     (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_ssta_ltpr_tpr h g L1 T1) →
+                     (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_cpr_lpr h g L1 T1) →
+                     (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_ssta_cpr_lpr h g L1 T1) →
                      (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_ssta h g L1 T1) →
                      (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_lsubsv h g L1 T1) →
                      ∀L1,T1. L0 = L1 → T0 = T1 → IH_snv_lsubsv h g L1 T1.
@@ -31,10 +30,10 @@ fact snv_lsubsv_aux: ∀h,g,L0,T0.
 [ #i #HL0 #HT0 #H #L1 #HL12 destruct -IH4 -IH3 -IH2
   elim (snv_inv_lref … H) -H #I2 #K2 #W2 #HLK2 #HW2
   elim (lsubsv_ldrop_O1_trans … HL12 … HLK2) -HL12 #X #H #HLK1
-  lapply (ldrop_pair2_fwd_fw … HLK2 (#i)) -HLK2 #HLK2
   elim (lsubsv_inv_pair2 … H) -H * #K1
-  [ #HK12 #H destruct /4 width=8 by snv_lref, fw_ygt/ (**) (* auto too slow without trace *)
-  | #W1 #V1 #V2 #l #HV1 #_ #_ #_ #_ #_ #H #_ destruct /2 width=5/
+  [ #HK12 #H destruct
+    /5 width=8 by snv_lref, fsupp_ygt, fsupp_lref/ (**) (* auto too slow without trace *)
+  | #V #W1 #V2 #l #HV #_ #_ #_ #_ #_ #H destruct /2 width=5/
   ]
 | #p #HL0 #HT0 #H #L1 #HL12 destruct -IH4 -IH3 -IH2 -IH1
   elim (snv_inv_gref … H)
@@ -45,16 +44,16 @@ fact snv_lsubsv_aux: ∀h,g,L0,T0.
   lapply (lsubsv_cprs_trans … HL12 … HW0) -HW0 #HW0
   elim (lsubsv_ssta_trans … HVW … HL12) -HVW #W1 #HVW1 #HW1
   lapply (cpcs_cprs_strap1 … HW1 … HW0) -W #HW10
-  elim (dxprs_lsubsv_aux … IH4 IH3 IH2 IH1 … HL12 … HTU) -IH4 -IH3 -IH2 -HTU // /2 width=1/ #X #HTU #H
-  elim (cprs_inv_abst1 Abst W0 … H) -H #W #U2 #HW0 #HU2 #H destruct
+  elim (lsubsv_cpds_aux … IH4 IH3 IH2 IH1 … HL12 … HTU) -IH4 -IH3 -IH2 -HTU // /2 width=1/ #X #HTU #H
+  elim (cprs_inv_abst1 … H) -H #W #U2 #HW0 #HU2 #H destruct
   lapply (cpcs_cprs_strap1 … HW10 … HW0) -W0 #H
   elim (cpcs_inv_cprs … H) -H #W0 #HW10 #HW0
-  lapply (dxprs_cprs_trans … (ⓛ{a}W0.U2) HTU ?) [ /2 width=1/ ] -HTU -HW0
-  /4 width=8 by snv_appl, fw_ygt/ (**) (* auto too slow without trace *)
+  lapply (cpds_cprs_trans … (ⓛ{a}W0.U2) HTU ?) [ /2 width=1/ ] -HTU -HW0
+  /4 width=8 by snv_appl, fsupp_ygt/ (**) (* auto too slow without trace *)
 | #W #T #HL0 #HT0 #H #L1 #HL12 destruct -IH4 -IH3 -IH2
   elim (snv_inv_cast … H) -H #U #l #HW #HT #HTU #HUW
   lapply (lsubsv_cpcs_trans … HL12 … HUW) -HUW #HUW
   elim (lsubsv_ssta_trans … HTU … HL12) -HTU #U0 #HTU0 #HU0
-  lapply (cpcs_trans … HU0 … HUW) -U /4 width=4 by snv_cast, fw_ygt/ (**) (* auto too slow without trace *)
+  lapply (cpcs_trans … HU0 … HUW) -U /4 width=4 by snv_cast, fsupp_ygt/ (**) (* auto too slow without trace *)
 ]
 qed-.