Theorem. A syllogism rule of inference.
syl5 in set.mm.
Naming convention: Theorem rpixy replaces the y'th wff in a nested implication of x wffs. Biconditional versions are named brpixy
(pr),
(pr),
(pr),
(pr),
(![]() ![]() ) |
(![]() (![]() ![]() )) |
(![]() (![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | (![]() ![]() ) | |
| 2 | (![]() (![]() ![]() )) | ||
| 1 | syl> | 3 | ((![]() ![]() ) (![]() ![]() )) |
| 2, 3 | syl | 4 | (![]() (![]() ![]() )) |