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;
wenzelm [Mon, 02 Jan 1995 12:16:12 +0100] rev 841
fixed minor typos;
wenzelm [Mon, 02 Jan 1995 12:14:26 +0100] rev 840
added;
lcp [Fri, 23 Dec 1994 16:51:10 +0100] rev 839
RepFun_eq_0_iff, RepFun_0: new
lcp [Fri, 23 Dec 1994 16:50:22 +0100] rev 838
Moved Transset_includes_summands and Transset_sum_Int_subset
here from Ordinal.ML
lcp [Fri, 23 Dec 1994 16:49:48 +0100] rev 837
Re-indented declarations; declared the number 2
lcp [Fri, 23 Dec 1994 16:35:42 +0100] rev 836
Added Krzysztof's theorems irrefl_converse, trans_on_converse,
part_ord_converse, linear_converse, tot_ord_converse,
Proved rvimage_converse, ord_iso_rvimage_eq
lcp [Fri, 23 Dec 1994 16:35:08 +0100] rev 835
Added Krzysztof's theorems irrefl_rvimage, trans_on_rvimage,
part_ord_rvimage, tot_ord_rvimage, irrefl_Int_iff, trans_on_Int_iff,
part_ord_Int_iff, linear_Int_iff, tot_ord_Int_iff, wf_on_Int_iff,
well_ord_Int_iff