Theorem bj-almpi

Description: A quantified form of mpi . See also barbara , bj-almp , and the inference associated with ala1 . (Contributed by BJ, 19-Mar-2026) (Proof modification is discouraged.)

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

Proof

Step	Hyp	Ref	Expression
1		bj-almpi.maj	|- A. x ( ph -> ( ch -> ps ) )
2		bj-almpi.min	|- A. x ch
3		pm2.04	|- ( ( ph -> ( ch -> ps ) ) -> ( ch -> ( ph -> ps ) ) )
4	3	alimi	|- ( A. x ( ph -> ( ch -> ps ) ) -> A. x ( ch -> ( ph -> ps ) ) )
5	1 4	ax-mp	|- A. x ( ch -> ( ph -> ps ) )
6	5 2	bj-almp	|- A. x ( ph -> ps )