Q:\DEDEKIND\DK-OM-Q2.TXT 2000 June 12 I was unable to prove DK-OM-Q2 directly without Lemma DK-OM-Q1. We got two proofs of DK-OM-Q2 both of which do use the Lemma. The difference between these two proofs is that for one proof we left the Lemma on the usable list, while for the other we placed the Lemma in the set of support. Placing Lemma DK-OM-Q1 in the set of support shortens the proof dramatically and allows one to assign a much lower value to max_weight. See the ALTPROOF directory.