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Mirrors > Home > QLE Home > Th. List > oath1 | Unicode version |
Description: OA theorem. |
Ref | Expression |
---|---|
oath1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oaliii 1001 | . . . 4 | |
2 | 1 | lan 77 | . . 3 |
3 | anidm 111 | . . . 4 | |
4 | 3 | ax-r1 35 | . . 3 |
5 | anandir 115 | . . 3 | |
6 | 2, 4, 5 | 3tr1 63 | . 2 |
7 | ax-a2 31 | . . 3 | |
8 | 7 | lan 77 | . 2 |
9 | anabs 121 | . 2 | |
10 | 6, 8, 9 | 3tr 65 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wi2 13 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-3oa 998 |
This theorem depends on definitions: df-a 40 df-t 41 df-f 42 df-i1 44 df-i2 45 df-le1 130 df-le2 131 |
This theorem is referenced by: oalem2 1006 oadist2a 1007 oacom 1011 oacom3 1013 oagen1 1014 |
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