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	$$⊢\psi \to \phi$$
	bj-alimii.min	$$⊢\forall x\psi$$
Assertion	bj-alimii	$$⊢\forall x\phi$$

Proof

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