lcp [Thu, 12 Jan 1995 03:01:20 +0100] rev 851
Moved theorems Ord_cases_lemma and Ord_cases here from Univ,
strengthening the succ(j) case to include Ord(j). Proved trans_induct3,
le_implies_UN_le_UN, Ord_1, lt_Ord2, le_Ord2.
lcp [Thu, 12 Jan 1995 03:00:58 +0100] rev 850
Added constants Ord_alt, ++, **
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.
lcp [Wed, 11 Jan 1995 18:47:03 +0100] rev 848
Proved ord_isoI, ord_iso_refl. Simplified proof of
ord_iso_restrict_pred. Proved theorems irrefl_0, ..., well_ord_0.
lcp [Wed, 11 Jan 1995 18:42:06 +0100] rev 847
Proved cadd_cmult_distrib.
lcp [Wed, 11 Jan 1995 18:30:37 +0100] rev 846
Now proof of Ord_jump_cardinal uses
ordertype_pred_unfold; proof of sum_0_eqpoll uses bij_0_sum; proof of
sum_0_eqpoll uses sum_prod_distrib_bij; proof of sum_assoc_eqpoll uses
sum_assoc_bij; proof of prod_assoc_eqpoll uses prod_assoc_bij. Proved
well_ord_cadd_cmult_distrib.
lcp [Wed, 11 Jan 1995 18:21:39 +0100] rev 845
Added Krzysztof's theorem LeastI2. Proof of sum_eqpoll_cong
uses lemma sum_bij; proof of prod_eqpoll_cong uses lemma prod_bij.
wenzelm [Wed, 11 Jan 1995 13:25:23 +0100] rev 844
pretty_gram: now sorts productions;
wenzelm [Wed, 11 Jan 1995 10:57:39 +0100] rev 843
removed print_sign, print_axioms;
wenzelm [Wed, 11 Jan 1995 10:53:22 +0100] rev 842
slightly changed OFCLASS syntax;