Theorem.
(sv),
(pr),
(sv),
(
,
),
( bound in ) |
(![]() ![]() ![]() ![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ( bound in ) | |
| df-∃mo | 2 | (![]() ![]() ![]() (![]() ![]() ![]() ![]() ![]() ![]() )) | |
| aln.ex | 3 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ) | |
| <neg | 4 | (![]() ![]() (![]() (![]() ![]() ))) | |
| 4 | im.bldal | 5 | (![]() ![]() ![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |
| spec-ex | 6 | (![]() (![]() (![]() ![]() ))![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) | |
| 5, 6 | syl | 7 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |
| 3, 7 | brpi21< | 8 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |
| 1 | ∃1→∃mo-0 | 9 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |
| 8, 9 | ja-pre | 10 | ((![]() ![]() ![]() ![]() ![]() ![]() )![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |
| 1 | df-∃1-alt3 | 11 | ((![]() ![]() ![]() ![]() ![]() ![]() ![]() (![]() (![]() ![]() )))![]() ![]() ![]() ) |
| 11 | exp | 12 | (![]() ![]() ![]() (![]() ![]() ![]() (![]() (![]() ![]() ))![]() ![]() ![]() )) |
| 12 | com12i | 13 | (![]() ![]() ![]() (![]() (![]() ![]() )) (![]() ![]() ![]() ![]() ![]() ![]() )) |
| 10, 13 | >bii | 14 | ((![]() ![]() ![]() ![]() ![]() ![]() )![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |
| 2, 14 | bitr | 15 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() (![]() (![]() ![]() ))) |