Theorem. Deduction combining antecedents and consequents.
imim12d in set.mm
(pr),
(pr),
(pr),
(pr),
(pr),
(![]() (![]() ![]() )) |
(![]() (![]() ![]() )) |
(![]() ((![]() ![]() ) (![]() ![]() ))) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | (![]() (![]() ![]() )) | |
| 2 | (![]() (![]() ![]() )) | ||
| 2 | syl> | 3 | (![]() ((![]() ![]() ) (![]() ![]() ))) |
| 1 | syl< | 4 | (![]() ((![]() ![]() ) (![]() ![]() ))) |
| 3, 4 | syld | 5 | (![]() ((![]() ![]() ) (![]() ![]() ))) |