(* Main properties **********************************************************)
-theorem lsuba_trans: ∀G,L1,L. G ⊢ L1 ⫃⁝ L → ∀L2. G ⊢ L ⫃⁝ L2 → G ⊢ L1 ⫃⁝ L2.
+theorem lsuba_trans: ∀G. Transitive … (lsuba G).
#G #L1 #L #H elim H -L1 -L
[ #X #H >(lsuba_inv_atom1 … H) -H //
| #I #L1 #L #Y #HL1 #IHL1 #X #H