Theorem nfe1

Description: The setvar x is not free in E. x ph . (Contributed by Mario Carneiro, 11-Aug-2016)

	Ref	Expression
Assertion	nfe1	⊢ Ⅎ 𝑥 ∃ 𝑥 𝜑

Proof

Step	Hyp	Ref	Expression
1		hbe1	⊢ ( ∃ 𝑥 𝜑 → ∀ 𝑥 ∃ 𝑥 𝜑 )
2	1	nf5i	⊢ Ⅎ 𝑥 ∃ 𝑥 𝜑