Metamath Proof Explorer


Theorem bj-almpig

Description: A partially quantified form of mpi similar to bj-almpi . (Contributed by BJ, 19-Mar-2026) (Proof modification is discouraged.)

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

Proof

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