Theorem.
(pr),
(pr),
(pr),
((![]() (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| Hyp | Ref | Line | Expr |
| or.andi< | 1 | ((![]() ![]() (![]() ![]() ![]() ![]() )) ((![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ))) | |
| nor.an | 2 | ( (![]() ![]() ) (![]() ![]() ![]() ![]() )) | |
| 2 | bi.bldor> | 3 | ((![]() ![]() ![]() (![]() ![]() )) (![]() ![]() (![]() ![]() ![]() ![]() ))) |
| nan.or | 4 | ( (![]() ![]() ) (![]() ![]() ![]() ![]() )) | |
| nan.or | 5 | ( (![]() ![]() ) (![]() ![]() ![]() ![]() )) | |
| 4, 5 | bi.bldan<> | 6 | (( (![]() ![]() )![]() (![]() ![]() )) ((![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ))) |
| 1, 3, 6 | <2bitr | 7 | ((![]() ![]() ![]() (![]() ![]() )) ( (![]() ![]() )![]() (![]() ![]() ))) |
| 7 | bi.bldneg | 8 | ( (![]() ![]() ![]() (![]() ![]() ))![]() ( (![]() ![]() )![]() (![]() ![]() ))) |
| an.or | 9 | ((![]() (![]() ![]() ))![]() (![]() ![]() ![]() (![]() ![]() ))) | |
| or.an | 10 | (((![]() ![]() ) (![]() ![]() ))![]() ( (![]() ![]() )![]() (![]() ![]() ))) | |
| 8, 9, 10 | <2bitr | 11 | ((![]() (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |