Theorem.
(obj),
(obj),
(obj),
((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) |
| Hyp | Ref | Line | Expr |
| df-equ | 1 | ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) | |
| 1 | siman< | 2 | ((![]() ![]() ) (![]() ![]() )) |
| df-equ | 3 | ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) | |
| 3 | siman< | 4 | ((![]() ![]() ) (![]() ![]() )) |
| 2, 4 | im.bldan<> | 5 | (((![]() ![]() ) (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| 5 | tr-an | 6 | (((![]() ![]() ) (![]() ![]() )) (![]() ![]() )) |
| 1 | siman> | 7 | ((![]() ![]() ) (![]() ![]() )) |
| 3 | siman> | 8 | ((![]() ![]() ) (![]() ![]() )) |
| 7, 8 | im.bldan<> | 9 | (((![]() ![]() ) (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| 9 | ancom | 10 | (((![]() ![]() ) (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| 10 | tr-an | 11 | (((![]() ![]() ) (![]() ![]() )) (![]() ![]() )) |
| 6, 11 | jca | 12 | (((![]() ![]() ) (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| 12 | df-equ | 13 | (((![]() ![]() ) (![]() ![]() )) (![]() ![]() )) |
| 13 | exp | 14 | ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) |