Theorem.
(sv),
(sv),
(sv),
( bound in ![]() (![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| ax12 | 1 | (![]() ![]() (![]() ![]() ) (![]() ![]() (![]() ![]() ) ((![]() ![]() )![]() ![]() (![]() ![]() )))) | |
| ax4 | 2 | (![]() (![]() ![]() ) (![]() ![]() )) | |
| 1, 2 | rpi43 | 3 | (![]() ![]() (![]() ![]() ) (![]() ![]() (![]() ![]() ) (![]() (![]() ![]() )![]() ![]() (![]() ![]() )))) |
| ax10 | 4 | (![]() (![]() ![]() ) (![]() (![]() ![]() )![]() ![]() (![]() ![]() ))) | |
| 4 | aleqcom | 5 | (![]() (![]() ![]() ) (![]() (![]() ![]() )![]() ![]() (![]() ![]() ))) |
| ax10 | 6 | (![]() (![]() ![]() ) (![]() (![]() ![]() )![]() ![]() (![]() ![]() ))) | |
| ax10 | 7 | (![]() (![]() ![]() ) (![]() (![]() ![]() )![]() ![]() (![]() ![]() ))) | |
| 7 | imabs | 8 | (![]() (![]() ![]() )![]() ![]() (![]() ![]() )) |
| 6, 8 | rpi32 | 9 | (![]() (![]() ![]() ) (![]() (![]() ![]() )![]() ![]() (![]() ![]() ))) |
| 9 | aleqcom | 10 | (![]() (![]() ![]() ) (![]() (![]() ![]() )![]() ![]() (![]() ![]() ))) |
| 3, 5, 10 | caseii | 11 | (![]() (![]() ![]() )![]() ![]() (![]() ![]() )) |
| 11 | ax5 | 12 | (![]() (![]() ![]() )![]() ![]() ![]() ![]() (![]() ![]() )) |
| ax7 | 13 | (![]() ![]() ![]() (![]() ![]() )![]() ![]() ![]() ![]() (![]() ![]() )) | |
| 12, 13 | syl | 14 | (![]() (![]() ![]() )![]() ![]() ![]() ![]() (![]() ![]() )) |
| 14 | df-Bvp | 15 | ( bound in ![]() (![]() ![]() )) |