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	$$⊢\phi \to \left(\chi \to \psi \right)$$
	bj-almpig.min	$$⊢\forall x\chi$$
Assertion	bj-almpig	$$⊢\forall x\left(\phi \to \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		bj-almpig.maj	$$⊢\phi \to \left(\chi \to \psi \right)$$
2		bj-almpig.min	$$⊢\forall x\chi$$
3	1	ax-gen	$$⊢\forall x\left(\phi \to \left(\chi \to \psi \right)\right)$$
4	3 2	bj-almpi	$$⊢\forall x\left(\phi \to \psi \right)$$