Finished integration of lemma4 in Charles' paper without a function symbol of the bound on the plan length .
Finished adding the function symbol for the bound on the plan lengths. Proved its validity with respect to lemma 2 in Charles' paper.
Finished modifying the main_lemma to be working with sublist and added necessary sublist lemmas
Finished the 1st, 2nd and 3rd layers of the proof of lemma4 in charles' paper with the plan bound function symbol.
Working on finalizing the lemma no. 4 in charles' paper
intermediate stage
Extend sublist theory, removing cheats and import it in other theories.
Prove some useful automatic rewrites for sublist.