Theorem 19.36i

Description: Inference associated with 19.36 . See 19.36iv for a version requiring fewer axioms. (Contributed by NM, 24-Jun-1993)

	Ref	Expression
Hypotheses	19.36.1	|- F/ x ps
	19.36i.2	|- E. x ( ph -> ps )
Assertion	19.36i	|- ( A. x ph -> ps )

Proof

Step	Hyp	Ref	Expression
1		19.36.1	|- F/ x ps
2		19.36i.2	|- E. x ( ph -> ps )
3	1	19.36	|- ( E. x ( ph -> ps ) <-> ( A. x ph -> ps ) )
4	2 3	mpbi	|- ( A. x ph -> ps )