Theorem eexinst01

Description: exinst01 without virtual deductions. (Contributed by Alan Sare, 21-Apr-2013) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	eexinst01.1	|- E. x ps
	eexinst01.2	|- ( ph -> ( ps -> ch ) )
	eexinst01.3	|- ( ph -> A. x ph )
	eexinst01.4	|- ( ch -> A. x ch )
Assertion	eexinst01	|- ( ph -> ch )

Proof

Step	Hyp	Ref	Expression
1		eexinst01.1	|- E. x ps
2		eexinst01.2	|- ( ph -> ( ps -> ch ) )
3		eexinst01.3	|- ( ph -> A. x ph )
4		eexinst01.4	|- ( ch -> A. x ch )
5	3 4 2	exlimdh	|- ( ph -> ( E. x ps -> ch ) )
6	1 5	mpi	|- ( ph -> ch )