(* Properties with context-sensitive free variables *************************)
lemma lsubf_frees_trans:
- â\88\80f2,L2,T. L2 â\8a¢ ð\9d\90\85+â¦\83Tâ¦\84 ≘ f2 →
- â\88\80f1,L1. â¦\83L1,f1â¦\84 â«\83ð\9d\90\85+ â¦\83L2,f2â¦\84 â\86\92 L1 â\8a¢ ð\9d\90\85+â¦\83Tâ¦\84 ≘ f1.
+ â\88\80f2,L2,T. L2 â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f2 →
+ â\88\80f1,L1. â\9dªL1,f1â\9d« â«\83ð\9d\90\85+ â\9dªL2,f2â\9d« â\86\92 L1 â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f1.
#f2 #L2 #T #H elim H -f2 -L2 -T
[ /3 width=5 by lsubf_fwd_isid_dx, frees_sort/
| #f2 #i #Hf2 #g1 #Y1 #H