Theorem 19.35i

Description: Inference associated with 19.35 . (Contributed by NM, 21-Jun-1993)

	Ref	Expression
Hypothesis	19.35i.1	⊢ ∃ 𝑥 ( 𝜑 → 𝜓 )
Assertion	19.35i	⊢ ( ∀ 𝑥 𝜑 → ∃ 𝑥 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		19.35i.1	⊢ ∃ 𝑥 ( 𝜑 → 𝜓 )
2		19.35	⊢ ( ∃ 𝑥 ( 𝜑 → 𝜓 ) ↔ ( ∀ 𝑥 𝜑 → ∃ 𝑥 𝜓 ) )
3	1 2	mpbi	⊢ ( ∀ 𝑥 𝜑 → ∃ 𝑥 𝜓 )