Theorem 19.8v

Description: Version of 19.8a with a disjoint variable condition, requiring fewer axioms. Converse of ax5e . (Contributed by BJ, 12-Mar-2020)

	Ref	Expression
Assertion	19.8v	⊢ ( 𝜑 → ∃ 𝑥 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		ax-5	⊢ ( 𝜑 → ∀ 𝑥 𝜑 )
2	1	19.8w	⊢ ( 𝜑 → ∃ 𝑥 𝜑 )