X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_lift.ma;h=4d9e1d0cc935f71e72ab305df77aeecd4a8765f6;hb=e258362c37ec6d9132ec57bd5e4987d148c10799;hp=d8fb8d161bed887cd05a0bddd1f8a406ca662b69;hpb=c2211ba58807254e75c6321cbd688db462d80fd2;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma
index d8fb8d161..4d9e1d0cc 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma
@@ -13,68 +13,67 @@
 (**************************************************************************)
 
 include "basic_2/multiple/fqus_alt.ma".
-include "basic_2/computation/cpds_lift.ma".
+include "basic_2/computation/scpds_lift.ma".
 include "basic_2/dynamic/snv.ma".
 
 (* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
 
 (* Relocation properties ****************************************************)
 
-lemma snv_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ T ¡[h, g] → ∀L,s,d,e. ⇩[s, d, e] L ≡ K →
-                ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ U ¡[h, g].
+lemma snv_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ T ¡[h, g] → ∀L,s,l,m. ⬇[s, l, m] L ≡ K →
+                ∀U. ⬆[l, m] T ≡ U → ⦃G, L⦄ ⊢ U ¡[h, g].
 #h #g #G #K #T #H elim H -G -K -T
-[ #G #K #k #L #s #d #e #_ #X #H
-  >(lift_inv_sort1 … H) -X -K -d -e //
-| #I #G #K #K0 #V #i #HK0 #_ #IHV #L #s #d #e #HLK #X #H
-  elim (lift_inv_lref1 … H) * #Hid #H destruct
+[ #G #K #k #L #s #l #m #_ #X #H
+  >(lift_inv_sort1 … H) -X -K -l -m //
+| #I #G #K #K0 #V #i #HK0 #_ #IHV #L #s #l #m #HLK #X #H
+  elim (lift_inv_lref1 … H) * #Hil #H destruct
   [ elim (drop_trans_le … HLK … HK0) -K /2 width=2 by lt_to_le/ #X #HL0 #H
-    elim (drop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hid #L0 #W #HLK0 #HVW #H destruct
+    elim (drop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hil #L0 #W #HLK0 #HVW #H destruct
     /3 width=9 by snv_lref/
   | lapply (drop_trans_ge … HLK … HK0 ?) -K
     /3 width=9 by snv_lref, drop_inv_gen/
   ]
-| #a #I #G #K #V #T #_ #_ #IHV #IHT #L #s #d #e #HLK #X #H
+| #a #I #G #K #V #T #_ #_ #IHV #IHT #L #s #l #m #HLK #X #H
   elim (lift_inv_bind1 … H) -H #W #U #HVW #HTU #H destruct
   /4 width=5 by snv_bind, drop_skip/
-| #a #G #K #V #W0 #T #U0 #l #_ #_ #HVW0 #HTU0 #IHV #IHT #L #s #d #e #HLK #X #H
+| #a #G #K #V #W0 #T #U0 #d #_ #_ #HVW0 #HTU0 #IHV #IHT #L #s #l #m #HLK #X #H
   elim (lift_inv_flat1 … H) -H #W #U #HVW #HTU #H destruct
-  elim (lift_total W0 d e) #W1 #HW01
-  elim (lift_total U0 (d+1) e) #U1 #HU01
-  @(snv_appl … a … W1 … U1 l) [1,2,3: /2 width=10 by cpds_lift/ ] -IHV -IHT
-  @(cpds_lift … HTU0 … HLK … HTU) /2 width=1 by lift_bind/ (**) (* full auto raises typechecker failure *)
-| #G #K #V #T #U0 #_ #_ #HVU0 #HTU0 #IHV #IHT #L #s #d #e #HLK #X #H
+  elim (lift_total W0 l m)
+  elim (lift_total U0 (l+1) m)
+  /4 width=17 by snv_appl, scpds_lift, lift_bind/
+| #G #K #V #T #U0 #_ #_ #HVU0 #HTU0 #IHV #IHT #L #s #l #m #HLK #X #H
   elim (lift_inv_flat1 … H) -H #W #U #HVW #HTU #H destruct
-  elim (lift_total U0 d e)
-  /3 width=12 by snv_cast, cprs_lift, cpds_lift/
+  elim (lift_total U0 l m)
+  /3 width=12 by snv_cast, scpds_lift/
 ]
 qed.
 
-lemma snv_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ U ¡[h, g] → ∀K,s,d,e. ⇩[s, d, e] L ≡ K →
-                    ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ T ¡[h, g].
+lemma snv_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ U ¡[h, g] → ∀K,s,l,m. ⬇[s, l, m] L ≡ K →
+                    ∀T. ⬆[l, m] T ≡ U → ⦃G, K⦄ ⊢ T ¡[h, g].
 #h #g #G #L #U #H elim H -G -L -U
-[ #G #L #k #K #s #d #e #_ #X #H
-  >(lift_inv_sort2 … H) -X -L -d -e //
-| #I #G #L #L0 #W #i #HL0 #_ #IHW #K #s #d #e #HLK #X #H
-  elim (lift_inv_lref2 … H) * #Hid #H destruct
+[ #G #L #k #K #s #l #m #_ #X #H
+  >(lift_inv_sort2 … H) -X -L -l -m //
+| #I #G #L #L0 #W #i #HL0 #_ #IHW #K #s #l #m #HLK #X #H
+  elim (lift_inv_lref2 … H) * #Hil #H destruct
   [ elim (drop_conf_le … HLK … HL0) -L /2 width=2 by lt_to_le/ #X #HK0 #H
-    elim (drop_inv_skip1 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hid #K0 #V #HLK0 #HVW #H destruct
+    elim (drop_inv_skip1 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hil #K0 #V #HLK0 #HVW #H destruct
     /3 width=12 by snv_lref/
   | lapply (drop_conf_ge … HLK … HL0 ?) -L /3 width=9 by snv_lref/
   ]
-| #a #I #G #L #W #U #_ #_ #IHW #IHU #K #s #d #e #HLK #X #H
+| #a #I #G #L #W #U #_ #_ #IHW #IHU #K #s #l #m #HLK #X #H
   elim (lift_inv_bind2 … H) -H #V #T #HVW #HTU #H destruct
   /4 width=5 by snv_bind, drop_skip/
-| #a #G #L #W #W1 #U #U1 #l #_ #_ #HW1 #HU1 #IHW #IHU #K #s #d #e #HLK #X #H
+| #a #G #L #W #W1 #U #U1 #d #_ #_ #HW1 #HU1 #IHW #IHU #K #s #l #m #HLK #X #H
   elim (lift_inv_flat2 … H) -H #V #T #HVW #HTU #H destruct
-  elim (cpds_inv_lift1 … HW1 … HLK … HVW) -HW1 #W0 #HW01 #HVW0  
-  elim (cpds_inv_lift1 … HU1 … HLK … HTU) -HU1 #X #H #HTU0
+  elim (scpds_inv_lift1 … HW1 … HLK … HVW) -HW1 #W0 #HW01 #HVW0
+  elim (scpds_inv_lift1 … HU1 … HLK … HTU) -HU1 #X #H #HTU0
   elim (lift_inv_bind2 … H) -H #Y #U0 #HY #HU01 #H destruct
   lapply (lift_inj … HY … HW01) -HY #H destruct
   /3 width=6 by snv_appl/
-| #G #L #W #U #U1 #_ #_ #HWU1 #HU1 #IHW #IHU #K #s #d #e #HLK #X #H
+| #G #L #W #U #U1 #_ #_ #HWU1 #HU1 #IHW #IHU #K #s #l #m #HLK #X #H
   elim (lift_inv_flat2 … H) -H #V #T #HVW #HTU #H destruct
-  elim (cprs_inv_lift1 … HWU1 … HLK … HVW) -HWU1 #U0 #HU01 #HVU0
-  elim (cpds_inv_lift1 … HU1 … HLK … HTU) -HU1 #X #HX #HTU0 
+  elim (scpds_inv_lift1 … HWU1 … HLK … HVW) -HWU1 #U0 #HU01 #HVU0
+  elim (scpds_inv_lift1 … HU1 … HLK … HTU) -HU1 #X #HX #HTU0 
   lapply (lift_inj … HX … HU01) -HX #H destruct
   /3 width=5 by snv_cast/
 ]