X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_lift.ma;h=98d617600407b05ebe58dea804a1b6c5407ad145;hb=e9da8e091898b6e67a2f270581bdc5cdbe80e9b0;hp=26306a74dfa2ca5084069e571a45d2714cf53a34;hpb=3a430d712f9d87185e9271b7b0c5188c5f311e4b;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 26306a74d..98d617600 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma
@@ -20,12 +20,12 @@ include "basic_2/dynamic/snv.ma".
 
 (* Relocation properties ****************************************************)
 
-lemma snv_lift: ∀h,o,G,K,T. ⦃G, K⦄ ⊢ T ¡[h, o] → ∀L,c,l,k. ⬇[c, l, k] L ≡ K →
+lemma snv_lift: ∀h,o,G,K,T. ⦃G, K⦄ ⊢ T ¡[h, o] → ∀L,b,l,k. ⬇[b, l, k] L ≡ K →
                 ∀U. ⬆[l, k] T ≡ U → ⦃G, L⦄ ⊢ U ¡[h, o].
 #h #o #G #K #T #H elim H -G -K -T
-[ #G #K #s #L #c #l #k #_ #X #H
+[ #G #K #s #L #b #l #k #_ #X #H
   >(lift_inv_sort1 … H) -X -K -l -k //
-| #I #G #K #K0 #V #i #HK0 #_ #IHV #L #c #l #k #HLK #X #H
+| #I #G #K #K0 #V #i #HK0 #_ #IHV #L #b #l #k #HLK #X #H
   elim (lift_inv_lref1 … H) * #Hil #H destruct
   [ elim (drop_trans_le … HLK … HK0) -K /2 width=2 by ylt_fwd_le/ #X #HL0 #H
     elim (drop_inv_skip2 … H) -H /2 width=1 by ylt_to_minus/ -Hil #L0 #W #HLK0 #HVW #H destruct
@@ -33,44 +33,44 @@ lemma snv_lift: ∀h,o,G,K,T. ⦃G, K⦄ ⊢ T ¡[h, o] → ∀L,c,l,k. ⬇[c, l
   | 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 #c #l #k #HLK #X #H
+| #a #I #G #K #V #T #_ #_ #IHV #IHT #L #b #l #k #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 #d #_ #_ #HVW0 #HTU0 #IHV #IHT #L #c #l #k #HLK #X #H
+| #a #G #K #V #W0 #T #U0 #d #_ #_ #HVW0 #HTU0 #IHV #IHT #L #b #l #k #HLK #X #H
   elim (lift_inv_flat1 … H) -H #W #U #HVW #HTU #H destruct
   elim (lift_total W0 l k)
   elim (lift_total U0 (l+1) k)
   /4 width=17 by snv_appl, scpds_lift, lift_bind/
-| #G #K #V #T #U0 #_ #_ #HVU0 #HTU0 #IHV #IHT #L #c #l #k #HLK #X #H
+| #G #K #V #T #U0 #_ #_ #HVU0 #HTU0 #IHV #IHT #L #b #l #k #HLK #X #H
   elim (lift_inv_flat1 … H) -H #W #U #HVW #HTU #H destruct
   elim (lift_total U0 l k)
   /3 width=12 by snv_cast, scpds_lift/
 ]
 qed.
 
-lemma snv_inv_lift: ∀h,o,G,L,U. ⦃G, L⦄ ⊢ U ¡[h, o] → ∀K,c,l,k. ⬇[c, l, k] L ≡ K →
+lemma snv_inv_lift: ∀h,o,G,L,U. ⦃G, L⦄ ⊢ U ¡[h, o] → ∀K,b,l,k. ⬇[b, l, k] L ≡ K →
                     ∀T. ⬆[l, k] T ≡ U → ⦃G, K⦄ ⊢ T ¡[h, o].
 #h #o #G #L #U #H elim H -G -L -U
-[ #G #L #s #K #c #l #k #_ #X #H
+[ #G #L #s #K #b #l #k #_ #X #H
   >(lift_inv_sort2 … H) -X -L -l -k //
-| #I #G #L #L0 #W #i #HL0 #_ #IHW #K #c #l #k #HLK #X #H
+| #I #G #L #L0 #W #i #HL0 #_ #IHW #K #b #l #k #HLK #X #H
   elim (lift_inv_lref2 … H) * #Hil #H destruct
   [ elim (drop_conf_le … HLK … HL0) -L /2 width=2 by ylt_fwd_le/ #X #HK0 #H
     elim (drop_inv_skip1 … H) -H /2 width=1 by ylt_to_minus/ -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 #c #l #k #HLK #X #H
+| #a #I #G #L #W #U #_ #_ #IHW #IHU #K #b #l #k #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 #d #_ #_ #HW1 #HU1 #IHW #IHU #K #c #l #k #HLK #X #H
+| #a #G #L #W #W1 #U #U1 #d #_ #_ #HW1 #HU1 #IHW #IHU #K #b #l #k #HLK #X #H
   elim (lift_inv_flat2 … H) -H #V #T #HVW #HTU #H destruct
   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 #c #l #k #HLK #X #H
+| #G #L #W #U #U1 #_ #_ #HWU1 #HU1 #IHW #IHU #K #b #l #k #HLK #X #H
   elim (lift_inv_flat2 … H) -H #V #T #HVW #HTU #H destruct
   elim (scpds_inv_lift1 … HWU1 … HLK … HVW) -HWU1 #U0 #HU01 #HVU0
   elim (scpds_inv_lift1 … HU1 … HLK … HTU) -HU1 #X #HX #HTU0