Theorem 19.8w

Description: Weak version of 19.8a and instance of 19.2d . (Contributed by NM, 1-Aug-2017) (Proof shortened by Wolf Lammen, 4-Dec-2017) (Revised by BJ, 31-Mar-2021)

	Ref	Expression
Hypothesis	19.8w.1	⊢ ( 𝜑 → ∀ 𝑥 𝜑 )
Assertion	19.8w	⊢ ( 𝜑 → ∃ 𝑥 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		19.8w.1	⊢ ( 𝜑 → ∀ 𝑥 𝜑 )
2	1	19.2d	⊢ ( 𝜑 → ∃ 𝑥 𝜑 )