Theorem.
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((![]() ![]() )![]() ![]() ((![]() ![]() ) (![]() ![]() ))) |
| Hyp | Ref | Line | Expr |
| eqtr | 1 | ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) | |
| 1 | eqcomi | 2 | ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) |
| 2 | com12i | 3 | ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) |
| 3 | imp | 4 | (((![]() ![]() ) (![]() ![]() )) (![]() ![]() )) |
| idd | 5 | ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() ))) | |
| 5 | imp | 6 | (((![]() ![]() ) (![]() ![]() )) (![]() ![]() )) |
| 4, 6 | jca | 7 | (((![]() ![]() ) (![]() ![]() )) ((![]() ![]() ) (![]() ![]() ))) |
| 7 | exp | 8 | ((![]() ![]() ) ((![]() ![]() ) ((![]() ![]() ) (![]() ![]() )))) |
| ax17-bv | 9 | ( bound in (![]() ![]() )) | |
| 8 | im.bldexd | 10 | ((![]() ![]() ) (![]() (![]() ![]() )![]() ![]() ((![]() ![]() ) (![]() ![]() )))) |
| ax9ex | 11 | ![]() (![]() ![]() ) | |
| eqcomi | 12 | ((![]() ![]() ) (![]() ![]() )) | |
| 12 | im.bldex | 13 | (![]() (![]() ![]() )![]() ![]() (![]() ![]() )) |
| 11, 13 | ax-mp | 14 | ![]() (![]() ![]() ) |
| 10, 14 | mpi | 15 | ((![]() ![]() )![]() ![]() ((![]() ![]() ) (![]() ![]() ))) |