Theorem.
(pr),
(pr),
(pr),
((![]() (![]() ![]() )) (![]() (![]() ![]() ))) |
| Hyp | Ref | Line | Expr |
| bcom12 | 1 | ((![]() ![]() (![]() ![]() ![]() )) (![]() ![]() (![]() ![]() ![]() ))) | |
| df-or | 2 | ((![]() ![]() ) (![]() ![]() ![]() )) | |
| 2 | bi.bldim> | 3 | ((![]() ![]() (![]() ![]() )) (![]() ![]() (![]() ![]() ![]() ))) |
| df-or | 4 | ((![]() ![]() ) (![]() ![]() ![]() )) | |
| 4 | bi.bldim> | 5 | ((![]() ![]() (![]() ![]() )) (![]() ![]() (![]() ![]() ![]() ))) |
| 1, 3, 5 | <2bitr< | 6 | ((![]() ![]() (![]() ![]() )) (![]() ![]() (![]() ![]() ))) |
| df-or | 7 | ((![]() (![]() ![]() )) (![]() ![]() (![]() ![]() ))) | |
| df-or | 8 | ((![]() (![]() ![]() )) (![]() ![]() (![]() ![]() ))) | |
| 6, 7, 8 | <2bitr | 9 | ((![]() (![]() ![]() )) (![]() (![]() ![]() ))) |