Theorem.
(sv),
(sv),
(pr),
(pr),
(pr),
(
,
), (
,
),
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(![]() (![]() ![]() ![]() ![]() )) |
( bound in ) |
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| Hyp | Ref | Line | Expr |
| Hypo | 1 | (![]() ((![]() ![]() ) (![]() ![]() ))) | |
| 2 | (![]() (![]() ![]() ![]() ![]() )) | ||
| 3 | ( bound in ) | ||
| 2, 3 | fv-negd | 4 | (![]() (![]() ![]() ![]() ![]() ![]() ![]() )) |
| conb | 5 | ((![]() ![]() ) (![]() ![]() ![]() ![]() )) | |
| 1, 5 | brpi33 | 6 | (![]() ((![]() ![]() ) (![]() ![]() ![]() ![]() ))) |
| 3, 4, 6 | cbvald | 7 | (![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| 7 | bi.bldnegd | 8 | (![]() (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() )) |
| df-ex | 9 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ) | |
| df-ex | 10 | (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ) | |
| 8, 9, 10 | <2bitrg | 11 | (![]() (![]() ![]() ![]() ![]() ![]() ![]() )) |