Theorem bj-axdd2ALT 37273

Description: Alternate proof of bj-axdd2 36792. (Contributed by BJ, 8-Mar-2026.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
bj-axdd2ALT	⊢ (∃𝑥𝜑 → (∀𝑥𝜓 → ∃𝑥𝜓))

Proof of Theorem bj-axdd2ALT

Step	Hyp	Ref	Expression
1		idd 24	. 2 ⊢ (𝜑 → (𝜓 → 𝜓))
2	1	bj-exalimi 36833	1 ⊢ (∃𝑥𝜑 → (∀𝑥𝜓 → ∃𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1539  ∃wex 1780

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1796  ax-4 1810

This theorem depends on definitions:  df-bi 207  df-ex 1781

This theorem is referenced by: (None)