X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Flsubc_drops.ma;h=df89d984f5342225469af09ad40e7b5a936e0b30;hb=e90313fa853ba63f29416c2d0de40b13c913e567;hp=e1c30a75a9ea9f53c5f9d323d5a1dcc86f21c217;hpb=fca909e9e53de73771e1b47e94434ae8f747d7fb;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma
index e1c30a75a..df89d984f 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drops.ma
@@ -19,14 +19,13 @@ include "basic_2/computation/lsubc_drop.ma".
 (* Properties concerning generic local environment slicing ******************)
 
 (* Basic_1: was: csubc_drop1_conf_rev *)
-lemma drops_lsubc_trans: ∀RR,RS,RP.
-                         gcp RR RS RP → gcr RR RS RP RP →
-                         ∀G,L1,K1,des. ⇩*[Ⓕ, des] L1 ≡ K1 → ∀K2. G ⊢ K1 ⫃[RP] K2 →
-                         ∃∃L2. G ⊢ L1 ⫃[RP] L2 & ⇩*[Ⓕ, des] L2 ≡ K2.
-#RR #RS #RP #Hgcp #Hgcr #G #L1 #K1 #des #H elim H -L1 -K1 -des
+lemma drops_lsubc_trans: ∀RR,RS,RP. gcp RR RS RP →
+                         ∀G,L1,K1,cs. ⬇*[Ⓕ, cs] L1 ≡ K1 → ∀K2. G ⊢ K1 ⫃[RP] K2 →
+                         ∃∃L2. G ⊢ L1 ⫃[RP] L2 & ⬇*[Ⓕ, cs] L2 ≡ K2.
+#RR #RS #RP #Hgcp #G #L1 #K1 #cs #H elim H -L1 -K1 -cs
 [ /2 width=3 by drops_nil, ex2_intro/
-| #L1 #L #K1 #des #d #e #_ #HLK1 #IHL #K2 #HK12
-  elim (drop_lsubc_trans … Hgcp Hgcr … HLK1 … HK12) -Hgcp -Hgcr -K1 #K #HLK #HK2
+| #L1 #L #K1 #cs #l #m #_ #HLK1 #IHL #K2 #HK12
+  elim (drop_lsubc_trans … Hgcp … HLK1 … HK12) -Hgcp -K1 #K #HLK #HK2
   elim (IHL … HLK) -IHL -HLK /3 width=5 by drops_cons, ex2_intro/
 ]
 qed-.