fomp的假设无关形式(不可引用)
theorem _hyp_fomp {x: set} (G A B: wff x):
$ \nf x G $ >
$ G \imp \fo x A \imp B $ >
$ G \imp A $ >
$ G \imp B $;
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | hyp h1 | G \imp \fo x A \imp B |
|
| 2 | hyp g | \nf x G |
|
| 3 | hyp h2 | G \imp A |
|
| 4 | 2, 3 | _hyp_intro_fo | G \imp \fo x A |
| 5 | 1, 4 | _hyp_mp | G \imp B |