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Mirrors > Home > QLE Home > Th. List > oi3oa3 | Unicode version |
Description: An attempt at the OA3 conjecture, which is true if . (Contributed by Josiah Burroughs 27-May-04.) |
Ref | Expression |
---|---|
oi3oa3.1 |
Ref | Expression |
---|---|
oi3oa3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oi3oa3.1 | . . . . . . . 8 | |
2 | 1 | oi3oa3lem1 732 | . . . . . . 7 |
3 | 2 | lan 77 | . . . . . 6 |
4 | an1 106 | . . . . . 6 | |
5 | 3, 4 | ax-r2 36 | . . . . 5 |
6 | 5 | ud1lem0b 256 | . . . 4 |
7 | 2 | lan 77 | . . . . . 6 |
8 | an1 106 | . . . . . 6 | |
9 | 7, 8 | ax-r2 36 | . . . . 5 |
10 | 9 | ud1lem0b 256 | . . . 4 |
11 | 6, 10 | 2an 79 | . . 3 |
12 | 11 | lor 70 | . 2 |
13 | ax-a2 31 | . 2 | |
14 | 1 | r3a 440 | . . . . 5 |
15 | 14 | ud1lem0b 256 | . . . 4 |
16 | 15 | 1bi 119 | . . 3 |
17 | 16 | oi3oa3lem1 732 | . 2 |
18 | 12, 13, 17 | 3tr 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 |
This theorem is referenced by: (None) |
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