Theorem.
(sv),
(st),
(pr),
(pr),
(
,
),
((![]() ![]() ) (![]() ![]() )) |
( bound in ) |
(![]() ((![]() ![]() )![]() )![]() ) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ((![]() ![]() ) (![]() ![]() )) | |
| 2 | ( bound in ) | ||
| 2 | fv.eqal | 3 | (![]() ![]() ![]() ![]() ) |
| 1, 3 | rpb33>> | 4 | ((![]() ![]() ) (![]() ![]() ![]() ![]() )) |
| 4 | im.bidi | 5 | (((![]() ![]() )![]() ) ((![]() ![]() )![]() ![]() ![]() )) |
| 5 | eqt-∀-i | 6 | (![]() ((![]() ![]() )![]() )![]() ![]() ((![]() ![]() )![]() ![]() ![]() )) |
| ax1 | 7 | (![]() ![]() ![]() ((![]() ![]() )![]() ![]() ![]() )) | |
| 7 | ax5 | 8 | (![]() ![]() ![]() ![]() ![]() ((![]() ![]() )![]() ![]() ![]() )) |
| 2 | df-Bvp | 9 | (![]() ![]() ![]() ![]() ) |
| 8, 9 | syl | 10 | (![]() ![]() ![]() ((![]() ![]() )![]() ![]() ![]() )) |
| ax9alt | 11 | (![]() ((![]() ![]() )![]() ![]() ![]() )![]() ) | |
| 10, 11 | >bii | 12 | (![]() ![]() ![]() ((![]() ![]() )![]() ![]() ![]() )) |
| 6, 12 | ><bitr | 13 | (![]() ((![]() ![]() )![]() )![]() ) |