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Mirrors > Home > QLE Home > Th. List > 4oagen1b | Unicode version |
Description: "Generalized" OA. |
Ref | Expression |
---|---|
4oa.1 | |
4oa.2 | |
4oagen1b.1 | |
4oagen1b.2 |
Ref | Expression |
---|---|
4oagen1b |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 4oa.1 | . . . 4 | |
2 | 4oa.2 | . . . 4 | |
3 | 4oagen1b.1 | . . . 4 | |
4 | 1, 2, 3 | 4oagen1 1042 | . . 3 |
5 | 4 | lan 77 | . 2 |
6 | anass 76 | . . . 4 | |
7 | 6 | ax-r1 35 | . . 3 |
8 | 4oagen1b.2 | . . . . 5 | |
9 | 8 | df2le2 136 | . . . 4 |
10 | 9 | ran 78 | . . 3 |
11 | 7, 10 | ax-r2 36 | . 2 |
12 | anass 76 | . . . 4 | |
13 | 12 | ax-r1 35 | . . 3 |
14 | 9 | ran 78 | . . 3 |
15 | 13, 14 | ax-r2 36 | . 2 |
16 | 5, 11, 15 | 3tr2 64 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wle 2 wo 6 wa 7 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 ax-4oa 1033 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i1 44 df-le1 130 df-le2 131 df-c1 132 df-c2 133 |
This theorem is referenced by: 4oadist 1044 |
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