Theorem.
(pr),
(pr),
(pr),
((![]() (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| Hyp | Ref | Line | Expr |
| siman< | 1 | ((![]() ![]() )![]() ) | |
| 1 | im.bldor> | 2 | ((![]() (![]() ![]() )) (![]() ![]() )) |
| siman> | 3 | ((![]() ![]() )![]() ) | |
| 3 | im.bldor> | 4 | ((![]() (![]() ![]() )) (![]() ![]() )) |
| 2, 4 | jca | 5 | ((![]() (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| >andc | 6 | ((![]() ![]() ![]() ) ((![]() ![]() ![]() ) (![]() ![]() (![]() ![]() )))) | |
| df-or | 7 | ((![]() ![]() ) (![]() ![]() ![]() )) | |
| df-or | 8 | ((![]() (![]() ![]() )) (![]() ![]() (![]() ![]() ))) | |
| 6, 7, 8 | <imtrg | 9 | ((![]() ![]() ![]() ) ((![]() ![]() ) (![]() (![]() ![]() )))) |
| df-or | 10 | ((![]() ![]() ) (![]() ![]() ![]() )) | |
| 9, 10 | brpi21 | 11 | ((![]() ![]() ) ((![]() ![]() ) (![]() (![]() ![]() )))) |
| 11 | imp | 12 | (((![]() ![]() ) (![]() ![]() )) (![]() (![]() ![]() ))) |
| 5, 12 | >bii | 13 | ((![]() (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |