带\ex的MP规则(无关)
theorem mpex_nfrs {x: set} (A B: wff x):
$ \nf x B $ >
$ A \imp B $ >
$ \ex x A $ >
$ B $;
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | hyp n | \nf x B |
|
| 2 | hyp h1 | A \imp B |
|
| 3 | 1, 2 | imp_introls_ex_nfrs | \ex x A \imp B |
| 4 | hyp h2 | \ex x A |
|
| 5 | 3, 4 | ax_mp | B |