Theorem nfvd

Description: nfv with antecedent. Useful in proofs of deduction versions of bound-variable hypothesis builders such as nfimd . (Contributed by Mario Carneiro, 6-Oct-2016)

	Ref	Expression
Assertion	nfvd	|- ( ph -> F/ x ps )

Proof

Step	Hyp	Ref	Expression
1		nfv	|- F/ x ps
2	1	a1i	|- ( ph -> F/ x ps )