Theorem.
(sv),
(sv),
(pr),
(pr),
(
,
),
((![]() ![]() ) (![]() ![]() )) |
( bound in ) |
( bound in ) |
(![]() ![]() ![]() ![]() ![]() ![]() ) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ((![]() ![]() ) (![]() ![]() )) | |
| 2 | ( bound in ) | ||
| 3 | ( bound in ) | ||
| 1, 2, 3 | cbvex | 4 | (![]() ![]() ![]() ![]() ![]() ![]() ) |
| 1, 2, 3 | cbv-∃1 | 5 | (![]() ![]() ![]() ![]() ![]() ![]() ) |
| 4, 5 | bi.bldim<> | 6 | ((![]() ![]() ![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) |
| df-∃mo | 7 | (![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() )) | |
| df-∃mo | 8 | (![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() )) | |
| 6, 7, 8 | <2bitr | 9 | (![]() ![]() ![]() ![]() ![]() ![]() ) |