Theorem 2eximdv

Description: Deduction form of Theorem 19.22 of Margaris p. 90 with two quantifiers, see exim . (Contributed by NM, 3-Aug-1995)

	Ref	Expression
Hypothesis	2alimdv.1	|- ( ph -> ( ps -> ch ) )
Assertion	2eximdv	|- ( ph -> ( E. x E. y ps -> E. x E. y ch ) )

Proof

Step	Hyp	Ref	Expression
1		2alimdv.1	|- ( ph -> ( ps -> ch ) )
2	1	eximdv	|- ( ph -> ( E. y ps -> E. y ch ) )
3	2	eximdv	|- ( ph -> ( E. x E. y ps -> E. x E. y ch ) )