milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / substitution / lpss_ldrop.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/lpss_ldrop.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/lpss_ldrop.ma
index 4237c766622c199f65878efd3861c265f79fe2e9..7a549f143355aec291dbeb50f0e5361a8a37e8f1 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/substitution/lpss_ldrop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/lpss_ldrop.ma
@@ -35,9 +35,13 @@ lemma lpss_ldrop_trans_O1: dropable_dx lpss.
 lemma fsup_cpss_trans: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ → ∀U2. L2 ⊢ T2 ▶* U2 →
                        ∃∃L,U1. L1 ⊢ ▶* L & L ⊢ T1 ▶* U1 & ⦃L, U1⦄ ⊃ ⦃L2, U2⦄.
 #L1 #L2 #T1 #T2 #H elim H -L1 -L2 -T1 -T2 [2: * ] [1,2,3,4,5: /3 width=5/ ]
-#L1 #K1 #K2 #T1 #T2 #U1 #d #e #HLK1 #HTU1 #_ #IHT12 #U2 #HTU2
-elim (IHT12 … HTU2) -IHT12 -HTU2 #K #T #HK1 #HT1 #HT2
-elim (lift_total T d e) #U #HTU
-elim (ldrop_lpss_trans … HLK1 … HK1) -HLK1 -HK1 #L2 #HL12 #HL2K
-lapply (cpss_lift … HT1 … HL2K … HTU1 … HTU) -HT1 -HTU1 /3 width=11/
+[ #L #K #U #T #d #e #HLK #HUT #He #U2 #HU2
+  elim (lift_total U2 d e) #T2 #HUT2
+  lapply (cpss_lift … HU2 … HLK … HUT … HUT2) -HU2 -HUT /3 width=9/
+| #L1 #K1 #K2 #T1 #T2 #U1 #d #e #HLK1 #HTU1 #_ #IHT12 #U2 #HTU2
+  elim (IHT12 … HTU2) -IHT12 -HTU2 #K #T #HK1 #HT1 #HT2
+  elim (lift_total T d e) #U #HTU
+  elim (ldrop_lpss_trans … HLK1 … HK1) -HLK1 -HK1 #L2 #HL12 #HL2K
+  lapply (cpss_lift … HT1 … HL2K … HTU1 … HTU) -HT1 -HTU1 /3 width=11/
+]
 qed-.