Theorem.
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| Hyp | Ref | Line | Expr |
| Hypo | 1 | (![]() ((![]() ![]() ) (![]() ![]() ))) | |
| 2 | (![]() (![]() ![]() ![]() ![]() )) | ||
| 3 | (![]() (![]() ![]() ![]() ![]() )) | ||
| ax4 | 4 | (![]() ![]() ![]() ![]() ) | |
| 3, 4 | syl | 5 | (![]() ![]() ![]() (![]() ![]() ![]() ![]() )) |
| 5 | 2im.bldal | 6 | (![]() ![]() ![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| ax7 | 7 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ) | |
| 6, 7 | rpi33 | 8 | (![]() ![]() ![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| 1 | com23i | 9 | (![]() (![]() ((![]() ![]() )![]() ))) |
| 2, 9 | rpi33d | 10 | (![]() (![]() ((![]() ![]() )![]() ![]() ![]() ))) |
| 10 | 2im.bldal | 11 | (![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ((![]() ![]() )![]() ![]() ![]() ))) |
| ax9alt | 12 | (![]() ((![]() ![]() )![]() ![]() ![]() )![]() ) | |
| 11, 12 | rpi33 | 13 | (![]() ![]() ![]() (![]() ![]() ![]() ![]() )) |
| 13 | 2im.bldal | 14 | (![]() ![]() ![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| ax7 | 15 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ) | |
| 14, 15 | syl | 16 | (![]() ![]() ![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| 8, 16 | syld | 17 | (![]() ![]() ![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() )) |