Theorem nfe1

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

	Ref	Expression
Assertion	nfe1	$$⊢Ⅎx\exists x\phi$$

Proof

Step	Hyp	Ref	Expression
1		hbe1	$$⊢\exists x\phi \to \forall x\exists x\phi$$
2	1	nf5i	$$⊢Ⅎx\exists x\phi$$