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 ∃* 𝑥 ∈ 𝐴 𝜑

Proof

Step	Hyp	Ref	Expression
1		df-rmo	⊢ ( ∃* 𝑥 ∈ 𝐴 𝜑 ↔ ∃* 𝑥 ( 𝑥 ∈ 𝐴 ∧ 𝜑 ) )
2		nfmo1	⊢ Ⅎ 𝑥 ∃* 𝑥 ( 𝑥 ∈ 𝐴 ∧ 𝜑 )
3	1 2	nfxfr	⊢ Ⅎ 𝑥 ∃* 𝑥 ∈ 𝐴 𝜑