Theorem.
(sv),
(pr),
(pr),
( bound in ) |
(![]() (![]() ![]() ) (![]() ![]() ![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ( bound in ) | |
| im.bldext | 2 | (![]() (![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) | |
| 1 | fv.eqex | 3 | (![]() ![]() ![]() ![]() ) |
| 2, 3 | brpi33< | 4 | (![]() (![]() ![]() ) (![]() ![]() ![]() ![]() )) |
| bv-∃b | 5 | ( bound in ![]() ![]() ) | |
| 1, 5 | bv-→ | 6 | ( bound in (![]() ![]() ![]() ![]() )) |
| spec-ex | 7 | (![]() ![]() ![]() ![]() ) | |
| 7 | syl> | 8 | ((![]() ![]() ![]() ![]() ) (![]() ![]() )) |
| 6, 8 | imgen>i | 9 | ((![]() ![]() ![]() ![]() )![]() ![]() (![]() ![]() )) |
| 4, 9 | >bii | 10 | (![]() (![]() ![]() ) (![]() ![]() ![]() ![]() )) |