Theorem nf5rd

Description: Consequence of the definition of not-free in a context. (Contributed by Mario Carneiro, 11-Aug-2016)

	Ref	Expression
Hypothesis	nf5rd.1	|- ( ph -> F/ x ps )
Assertion	nf5rd	|- ( ph -> ( ps -> A. x ps ) )

Proof

Step	Hyp	Ref	Expression
1		nf5rd.1	|- ( ph -> F/ x ps )
2		nf5r	|- ( F/ x ps -> ( ps -> A. x ps ) )
3	1 2	syl	|- ( ph -> ( ps -> A. x ps ) )