Theorem.
(sv),
(pr),
(pr),
(![]() (![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| al.andi | 1 | (![]() (![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() ![]() )) | |
| an.nim | 2 | ((![]() ![]() ![]() )![]() (![]() ![]() )) | |
| 2 | eqt-∀-i | 3 | (![]() (![]() ![]() ![]() )![]() ![]() ![]() (![]() ![]() )) |
| df-an | 4 | ((![]() ![]() ![]() ![]() ![]() ![]() ![]() )![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) | |
| 1, 3, 4 | >2bitr | 5 | (![]() ![]() (![]() ![]() )![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| 5 | conb>i | 6 | ((![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )![]() ![]() ![]() ![]() (![]() ![]() )) |
| df-ex | 7 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ) | |
| 7 | bi.bldim> | 8 | ((![]() ![]() ![]() ![]() ![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| df-ex | 9 | (![]() (![]() ![]() )![]() ![]() ![]() ![]() (![]() ![]() )) | |
| 6, 8, 9 | <2bitr< | 10 | (![]() (![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) |