Theorem bj-nfdt

Description: Closed form of nf5d and nf5dh . (Contributed by BJ, 2-May-2019)

	Ref	Expression
Assertion	bj-nfdt	|- ( A. x ( ph -> ( ps -> A. x ps ) ) -> ( ( ph -> A. x ph ) -> ( ph -> F/ x ps ) ) )

Proof

Step	Hyp	Ref	Expression
1		bj-nfdt0	|- ( A. x ( ph -> ( ps -> A. x ps ) ) -> ( A. x ph -> F/ x ps ) )
2	1	imim2d	|- ( A. x ( ph -> ( ps -> A. x ps ) ) -> ( ( ph -> A. x ph ) -> ( ph -> F/ x ps ) ) )