Metamath Proof Explorer


Theorem bj-alimii

Description: Inference associated with alimi . Double inference associated with alim . The usual proof of an associated inference (here from alimi and ax-mp ) has the same size and same number of steps. (Contributed by BJ, 19-Mar-2026) (Proof modification is discouraged.)

Ref Expression
Hypotheses bj-alimii.maj
|- ( ps -> ph )
bj-alimii.min
|- A. x ps
Assertion bj-alimii
|- A. x ph

Proof

Step Hyp Ref Expression
1 bj-alimii.maj
 |-  ( ps -> ph )
2 bj-alimii.min
 |-  A. x ps
3 1 ax-gen
 |-  A. x ( ps -> ph )
4 3 2 bj-almp
 |-  A. x ph