lcp [Thu, 12 Jan 1995 03:00:38 +0100] rev 849
Proved equivalence of Ord and Ord_alt. Proved
ordertype_eq_imp_ord_iso, le_well_ord_Memrel, le_ordertype_Memrel, lt_oadd1,
oadd_le_self, bij_0_sum, oadd_0, oadd_assoc, id_ord_iso_Memrel, ordertype_0.
Now well_ord_Memrel follows from le_well_ord_Memrel and
ordertype_Memrel follows from le_ordertype_Memrel.
Proved simpler versions of Krzysztof's theorems Ord_oadd,
ordertype_pred_subset, ordertype_pred_lt, ordertype_pred_unfold, bij_sum_0,
bij_sum_succ, ordertype_sum_Memrel, lt_oadd_disj, oadd_inject.
Deleted ordertype_subset: subsumed by ordertype_pred_unfold.
Proved ordinal multiplication theorems Ord_omult, lt_omult, omult_oadd_lt,
omult_unfold, omult_0, omult_0_left, omult_1, omult_1_left,
oadd_omult_distrib, omult_succ, omult_assoc, omult_UN, omult_Limit, lt_omult1,
omult_le_self, omult_le_mono1, omult_lt_mono2, omult_le_mono2, omult_le_mono,
omult_lt_mono, omult_le_self2, omult_inject.