Theorem 19.36imv

Description: One direction of 19.36v that can be proven without ax-6 . (Contributed by Rohan Ridenour, 16-Apr-2022)

	Ref	Expression
Assertion	19.36imv	|- ( E. x ( ph -> ps ) -> ( A. x ph -> ps ) )

Proof

Step	Hyp	Ref	Expression
1		19.35	|- ( E. x ( ph -> ps ) <-> ( A. x ph -> E. x ps ) )
2	1	biimpi	|- ( E. x ( ph -> ps ) -> ( A. x ph -> E. x ps ) )
3		ax5e	|- ( E. x ps -> ps )
4	2 3	syl6	|- ( E. x ( ph -> ps ) -> ( A. x ph -> ps ) )