Theorem nfrmo1

Description: The setvar x is not free in E* x e. A ph . (Contributed by NM, 16-Jun-2017)

	Ref	Expression
Assertion	nfrmo1	$$⊢Ⅎx{\exists }^{*}x\in A\phi$$

Proof

Step	Hyp	Ref	Expression
1		df-rmo	$$⊢{\exists }^{*}x\in A\phi \leftrightarrow {\exists }^{*}x\left(x\in A\wedge \phi \right)$$
2		nfmo1	$$⊢Ⅎx{\exists }^{*}x\left(x\in A\wedge \phi \right)$$
3	1 2	nfxfr	$$⊢Ⅎx{\exists }^{*}x\in A\phi$$