Description: A quantified form of ax-mp . See also barbara , bj-almpi , and the inference associated with ala1 . (Contributed by BJ, 19-Mar-2026) (Proof modification is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | bj-almp.maj | |- A. x ( ps -> ph ) |
|
| bj-almp.min | |- A. x ps |
||
| Assertion | bj-almp | |- A. x ph |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | bj-almp.maj | |- A. x ( ps -> ph ) |
|
| 2 | bj-almp.min | |- A. x ps |
|
| 3 | alim | |- ( A. x ( ps -> ph ) -> ( A. x ps -> A. x ph ) ) |
|
| 4 | 1 2 3 | mp2 | |- A. x ph |