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Theorem oi3oa3 733
 Description: An attempt at the OA3 conjecture, which is true if . (Contributed by Josiah Burroughs 27-May-04.)
Hypothesis
Ref Expression
oi3oa3.1
Assertion
Ref Expression
oi3oa3

Proof of Theorem oi3oa3
StepHypRef Expression
1 oi3oa3.1 . . . . . . . 8
21oi3oa3lem1 732 . . . . . . 7
32lan 77 . . . . . 6
4 an1 106 . . . . . 6
53, 4ax-r2 36 . . . . 5
65ud1lem0b 256 . . . 4
72lan 77 . . . . . 6
8 an1 106 . . . . . 6
97, 8ax-r2 36 . . . . 5
109ud1lem0b 256 . . . 4
116, 102an 79 . . 3
1211lor 70 . 2
13 ax-a2 31 . 2
141r3a 440 . . . . 5
1514ud1lem0b 256 . . . 4
16151bi 119 . . 3
1716oi3oa3lem1 732 . 2
1812, 13, 173tr 65 1
 Colors of variables: term Syntax hints:   wb 1   tb 5   wo 6   wa 7  wt 8   wi1 12 This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-r3 439 This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-i1 44
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