Theorem.
(sv),
(sv),
(pr),
(pr),
(pr),
((![]() ![]() ) (![]() ![]() )) |
(![]() (![]() ![]() ![]() ![]() )) |
( bound in ) |
(![]() (![]() ![]() ![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ((![]() ![]() ) (![]() ![]() )) | |
| 2 | (![]() (![]() ![]() ![]() ![]() )) | ||
| 3 | ( bound in ) | ||
| 3 | df-Bvp | 4 | (![]() ![]() ![]() ![]() ) |
| 4 | adan> | 5 | ((![]() ![]() )![]() ![]() ![]() ) |
| 2 | imp | 6 | ((![]() ![]() )![]() ![]() ![]() ) |
| 5, 6 | jca | 7 | ((![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) |
| al.andi | 8 | (![]() (![]() ![]() ) (![]() ![]() ![]() ![]() ![]() ![]() )) | |
| 7, 8 | brpi22< | 9 | ((![]() ![]() )![]() ![]() (![]() ![]() )) |
| 1 | adan< | 10 | ((![]() ![]() ) ((![]() ![]() )![]() )) |
| 9 | df-Bvp | 11 | ( bound in (![]() ![]() )) |
| 10, 11 | ax4c | 12 | ((![]() ![]() )![]() ![]() ![]() ) |
| 12 | exp | 13 | (![]() (![]() ![]() ![]() ![]() )) |