Theorem bj-axdd2ALT 37303

Description: Alternate proof of bj-axdd2 37246 (this should replace bj-axdd2 37246 when bj-exalimi 37299 is moved to the main section). (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 25	. 2 ⊢ (𝜑 → (𝜓 → 𝜓))
2	1	bj-exalimi 37299	1 ⊢ (∃𝑥𝜑 → (∀𝑥𝜓 → ∃𝑥𝜓))

This proof depends on syntax axioms:   → wi 4  ∀wal 1568  ∃wex 1812

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842

This proof depends on definitions:  df-bi 210  df-ex 1813

This theorem is used by: (None)