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Metamath Proof Explorer

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	$⊢ Ⅎ x \exists^{*} x \in A φ$

Step	Hyp	Ref	Expression
1		df-rmo	$⊢ \exists^{} x \in A φ \leftrightarrow \exists^{} x (x \in A \land φ)$
2		nfmo1	$⊢ Ⅎ x \exists^{*} x (x \in A \land φ)$
3	1 2	nfxfr	$⊢ Ⅎ x \exists^{*} x \in A φ$