- basic_2: reaxiomatized snv with improved cpds and cpes simplifies preservation

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma
index cf5e7fcb1e23a7a5920db2a3d95d96438d493572..c289e2bbb625ea4ac480897ce3efb1dfc89e05e9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma
@@ -16,7 +16,6 @@ include "basic_2/static/da_aaa.ma".
 include "basic_2/unfold/lstas_lift.ma".
 include "basic_2/computation/csx_aaa.ma".
 include "basic_2/computation/cpds_aaa.ma".
-include "basic_2/equivalence/cpcs_aaa.ma".
 include "basic_2/dynamic/snv.ma".
 
 (* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
@@ -28,14 +27,15 @@ lemma snv_fwd_aaa: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ∃A. ⦃G, L⦄
 [ /2 width=2 by aaa_sort, ex_intro/
 | #I #G #L #K #V #i #HLK #_ * /3 width=6 by aaa_lref, ex_intro/
 | #a * #G #L #V #T #_ #_ * #B #HV * #A #HA /3 width=2 by aaa_abbr, aaa_abst, ex_intro/
-| #a #G #L #V #W #W0 #T #U #l #_ #_ #Hl #HVW #HW0 #HTU * #B #HV * #X #HT
-  lapply (cpds_aaa_conf h g … HV W0 ?) [ -HTU /3 width=4 by cpds_strap1, sta_cprs_cpds/ ] -W #HW0 (**) (* auto fail without -HTU *)
-  lapply (cpds_aaa_conf … HT … HTU) -HTU #H
+| #a #G #L #V #W0 #T #U0 #l #_ #_ #HVW0 #HTU0 * #B #HV * #X #HT
+  lapply (cpds_aaa_conf … HV … HVW0) -HVW0 #HW0
+  lapply (cpds_aaa_conf … HT … HTU0) -HTU0 #H
   elim (aaa_inv_abst … H) -H #B0 #A #H1 #HU #H2 destruct
   lapply (aaa_mono … H1 … HW0) -W0 #H destruct /3 width=4 by aaa_appl, ex_intro/
-| #G #L #W #T #U #l #_ #_ #_ #HTU #HUW * #B #HW * #A #HT
-  lapply (sta_aaa_conf … HT … HTU) -HTU #H
-  lapply (cpcs_aaa_mono … HUW … H … HW) -HUW -H #H destruct /3 width=3 by aaa_cast, ex_intro/
+| #G #L #U #T #U0 #_ #_ #HU0 #HTU0 * #B #HU * #A #HT
+  lapply (cprs_aaa_conf … HU … HU0) -HU0 #HU0
+  lapply (cpds_aaa_conf … HT … HTU0) -HTU0 #H
+  lapply (aaa_mono … H … HU0) -U0 #H destruct /3 width=3 by aaa_cast, ex_intro/
 ]
 qed-.
 
@@ -58,11 +58,3 @@ lemma snv_lstas_fwd_correct: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ¡[h, g] →
 #h #g #G #L #T1 #T2 #l #HT1 #HT12
 elim (snv_fwd_sta … HT1) -HT1 /2 width=5 by lstas_fwd_correct/
 qed-.
-
-(* Advanced properties ******************************************************)
-
-lemma snv_scast: ∀h,g,G,L,V,W,l. ⦃G, L⦄ ⊢ V ¡[h, g] → ⦃G, L⦄ ⊢ W ¡[h, g] →
-                 scast h g l G L V W → ⦃G, L⦄ ⊢V ▪[h, g] l+1 → ⦃G, L⦄ ⊢ ⓝW.V ¡[h, g].
-#h #g #G #L #V #W #l #HV #HW #H #Hl
-elim (snv_fwd_sta … HV) /4 width=6 by snv_cast, sta_lstas/
-qed-.