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Mirrors > Home > QLE Home > Th. List > 3vded13 | Unicode version |
Description: A 3-variable theorem. Experiment with weak deduction theorem. |
Ref | Expression |
---|---|
3vded13.1 | |
3vded13.2 |
Ref | Expression |
---|---|
3vded13 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | an1 106 | . . . . 5 | |
2 | 1 | ax-r1 35 | . . . 4 |
3 | 3vded13.2 | . . . . . . 7 | |
4 | 3 | u1lemle1 710 | . . . . . 6 |
5 | 4 | ax-r1 35 | . . . . 5 |
6 | 5 | lan 77 | . . . 4 |
7 | 2, 6 | ax-r2 36 | . . 3 |
8 | 3vded13.1 | . . 3 | |
9 | 7, 8 | bltr 138 | . 2 |
10 | 9 | 3vded11 814 | 1 |
Colors of variables: term |
Syntax hints: wle 2 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 df-le1 130 df-le2 131 df-c1 132 df-c2 133 |
This theorem is referenced by: (None) |
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