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Deleted subset_imp_Un_Diff_eq, as it is identical to
Diff_partition. Used split_tac (sometimes via simplifier) to apply expand_if.
Replaced lt_oadd_disj1 by lt_oadd_odiff_disj, using ordinal difference instead
of a description. Removed the outer quantifier from all_sum_lepoll_m,
all_sum_lepoll_m_2. Changed all "lesspoll succ(m)" to "lepoll m" and
simplified proofs. Changed definitions of vv1 and ww1 to use lepoll instead
of lesspoll; therefore vv1(f,b,succ(m)) becomes vv1(f,b,m). Moved proof of
vv1_not_0 into the body of the proof using this result. Renamed variable aa
to s. Simplified lemma_iv using addss. Renamed some theorems; combined some
proofs.

New root file

Redefined OUnion in a definitional manner