Theorem.
(sv),
(pr),
(pr),
( bound in ) |
(![]() (![]() ![]() ) (![]() ![]() ![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ( bound in ) | |
| df-ex | 2 | (![]() (![]() ![]() )![]() ![]() ![]() ![]() (![]() ![]() )) | |
| 1 | bv-¬ | 3 | ( bound in ![]() ) |
| 3 | alor> | 4 | (![]() (![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) |
| nan.or | 5 | ( (![]() ![]() ) (![]() ![]() ![]() ![]() )) | |
| 5 | eqt-∀-i | 6 | (![]() ![]() (![]() ![]() )![]() ![]() (![]() ![]() ![]() ![]() )) |
| nan.or | 7 | ( (![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) | |
| aln.ex | 8 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ) | |
| 8 | bi.bldor< | 9 | ((![]() ![]() ![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) |
| 7, 9 | ><bitr | 10 | ( (![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) |
| 4, 6, 10 | <2bitr | 11 | (![]() ![]() (![]() ![]() )![]() (![]() ![]() ![]() ![]() )) |
| 11 | conb>i | 12 | ((![]() ![]() ![]() ![]() )![]() ![]() ![]() ![]() (![]() ![]() )) |
| 2, 12 | ><bitr | 13 | (![]() (![]() ![]() ) (![]() ![]() ![]() ![]() )) |