Theorem spimehOLD

Description: Obsolete version of spimew as of 22-Oct-2023. (Contributed by NM, 7-Aug-1994) (Proof shortened by Wolf Lammen, 10-Dec-2017) (New usage is discouraged.) (Proof modification is discouraged.)

	Ref	Expression
Hypotheses	spimew.1	|- ( ph -> A. x ph )
	spimew.2	|- ( x = y -> ( ph -> ps ) )
Assertion	spimehOLD	|- ( ph -> E. x ps )

Proof

Step	Hyp	Ref	Expression
1		spimew.1	|- ( ph -> A. x ph )
2		spimew.2	|- ( x = y -> ( ph -> ps ) )
3		ax6ev	|- E. x x = y
4	3 2	eximii	|- E. x ( ph -> ps )
5	4	19.35i	|- ( A. x ph -> E. x ps )
6	1 5	syl	|- ( ph -> E. x ps )