- basic_2: induction for preservation results now uses supclosure

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

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 e40d8a2824e4e3ee92fa6d764a3dadf8da4b1a1d..0a1feae918756b4cb9fbddfa298f9090cc838af8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma
@@ -67,7 +67,7 @@ lemma snv_inv_lift: ∀h,g,L,U. ⦃h, L⦄ ⊢ U ¡[g] → ∀K,d,e. ⇩[d, e] L
 | #a #L #W #W0 #W1 #U #U1 #l #_ #_ #HW0 #HW01 #HU1 #IHW #IHU #K #d #e #HLK #X #H
   elim (lift_inv_flat2 … H) -H #V #T #HVW #HTU #H destruct
   elim (ssta_inv_lift1 … HW0 … HLK … HVW) -HW0 #V0 #HV0 #HVW0
-  elim (cprs_inv_lift1 … HLK … HVW0 … HW01) -W0 #V1 #HVW1 #HV01
+  elim (cprs_inv_lift1 … HW01 … HLK … HVW0) -W0 #V1 #HVW1 #HV01
   elim (dxprs_inv_lift1 … HLK … HTU … HU1) -HU1 #X #H #HTU
   elim (lift_inv_bind2 … H) -H #Y #T1 #HY #HTU1 #H destruct
   lapply (lift_inj … HY … HVW1) -HY #H destruct /3 width=8/
@@ -86,11 +86,13 @@ lemma snv_fsup_conf: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ →
 [ #I1 #L1 #V1 #H
   elim (snv_inv_lref … H) -H #I2 #L2 #V2 #H #HV2
   lapply (ldrop_inv_refl … H) -H #H destruct //
-|2,3: #a #I #L1 #V1 #T1 #H elim (snv_inv_bind … H) -H //
-|4,5: * #L1 #V1 #T1 #H
+|2: *
+|5: /3 width=7 by snv_inv_lift/
+]
+[1,3: #a #I #L1 #V1 #T1 #H elim (snv_inv_bind … H) -H //
+|2,4: * #L1 #V1 #T1 #H
   [1,3: elim (snv_inv_appl … H) -H //
   |2,4: elim (snv_inv_cast … H) -H //
   ]
-| /3 width=7 by snv_inv_lift/
 ]
 qed-.