Theorem 19.2d

Description: Deduction associated with 19.2 . (Contributed by BJ, 12-May-2019)

	Ref	Expression
Hypothesis	19.2d.1	⊢ ( 𝜑 → ∀ 𝑥 𝜓 )
Assertion	19.2d	⊢ ( 𝜑 → ∃ 𝑥 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		19.2d.1	⊢ ( 𝜑 → ∀ 𝑥 𝜓 )
2		19.2	⊢ ( ∀ 𝑥 𝜓 → ∃ 𝑥 𝜓 )
3	1 2	syl	⊢ ( 𝜑 → ∃ 𝑥 𝜓 )