xlisten

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.

#! /bin/sh
#  xlisten -- start a program in one window and create a listener window
#     environment variable $LISTEN specifies the file name

#create the file!
date > $LISTEN

xterm -geo 80x10+0+0 -T Listener -n Listener -e tail -f $LISTEN &
sleep 2
xterm -geo 80x45+0-0 -e teeinput $* &