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	⊢ ( 𝜓 → 𝜑 )
	bj-alimii.min	⊢ ∀ 𝑥 𝜓
Assertion	bj-alimii	⊢ ∀ 𝑥 𝜑

Proof

Step	Hyp	Ref	Expression
1		bj-alimii.maj	⊢ ( 𝜓 → 𝜑 )
2		bj-alimii.min	⊢ ∀ 𝑥 𝜓
3	1	ax-gen	⊢ ∀ 𝑥 ( 𝜓 → 𝜑 )
4	3 2	bj-almp	⊢ ∀ 𝑥 𝜑