Theorem. Commutativity of conjunction.
Example illustrating structured proofs and the Deduction Theorem. Compare with ancom.
(pr),
(pr),
((![]() ![]() ) (![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| Suppose | 1.1 | (![]() ![]() ) | |
| 1.1 | siman | 1.2 | ![]() ![]() |
| 1.3 | ![]() ![]() | ||
| 1.2, 1.3 | >andi | 1.4 | (![]() ![]() ) |
| 1.4 | Therefore | 1 | ((![]() ![]() ) (![]() ![]() )) |
| Suppose | 2.1 | (![]() ![]() ) | |
| 2.1 | siman | 2.2 | ![]() ![]() |
| 2.3 | ![]() ![]() | ||
| 2.2, 2.3 | >andi | 2.4 | (![]() ![]() ) |
| 2.4 | Therefore | 2 | ((![]() ![]() ) (![]() ![]() )) |
| 1, 2 | >bii | 3 | ((![]() ![]() ) (![]() ![]() )) |