Theorem eximdh

Description: Deduction from Theorem 19.22 of Margaris p. 90. (Contributed by NM, 20-May-1996)

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

Proof

Step	Hyp	Ref	Expression
1		eximdh.1	|- ( ph -> A. x ph )
2		eximdh.2	|- ( ph -> ( ps -> ch ) )
3	2	aleximi	|- ( A. x ph -> ( E. x ps -> E. x ch ) )
4	1 3	syl	|- ( ph -> ( E. x ps -> E. x ch ) )