Theorem bj-axdd2ALT

Description: Alternate proof of bj-axdd2 . (Contributed by BJ, 8-Mar-2026) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	bj-axdd2ALT	⊢ ( ∃ 𝑥 𝜑 → ( ∀ 𝑥 𝜓 → ∃ 𝑥 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		idd	⊢ ( 𝜑 → ( 𝜓 → 𝜓 ) )
2	1	bj-exalimi	⊢ ( ∃ 𝑥 𝜑 → ( ∀ 𝑥 𝜓 → ∃ 𝑥 𝜓 ) )