Theorem.
(sv),
(st),
(pr),
(pr),
(
,
),
((![]() ![]() ) (![]() ![]() )) |
( bound in ) |
(![]() ((![]() ![]() )![]() )![]() ) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ((![]() ![]() ) (![]() ![]() )) | |
| 2 | ( bound in ) | ||
| exn.al | 3 | (![]() ![]() ((![]() ![]() )![]() ![]() )![]() ![]() ![]() ((![]() ![]() )![]() ![]() )) | |
| df-an | 4 | (((![]() ![]() )![]() )![]() ((![]() ![]() )![]() ![]() )) | |
| 4 | eqt-∃-i | 5 | (![]() ((![]() ![]() )![]() )![]() ![]() ![]() ((![]() ![]() )![]() ![]() )) |
| 2 | bv-¬ | 6 | ( bound in ![]() ) |
| 1 | bi.bldnegd | 7 | ((![]() ![]() ) (![]() ![]() ![]() ![]() )) |
| 6, 7 | eqsal | 8 | (![]() ((![]() ![]() )![]() ![]() )![]() ![]() ) |
| 8 | conb>i | 9 | (![]() ![]() ![]() ![]() ((![]() ![]() )![]() ![]() )) |
| 3, 5, 9 | <2bitr | 10 | (![]() ((![]() ![]() )![]() )![]() ) |