Theorem rexlimdvaa

Description: Inference from Theorem 19.23 of Margaris p. 90 (restricted quantifier version). (Contributed by Mario Carneiro, 15-Jun-2016)

	Ref	Expression
Hypothesis	rexlimdvaa.1	|- ( ( ph /\ ( x e. A /\ ps ) ) -> ch )
Assertion	rexlimdvaa	|- ( ph -> ( E. x e. A ps -> ch ) )

Proof

Step	Hyp	Ref	Expression
1		rexlimdvaa.1	|- ( ( ph /\ ( x e. A /\ ps ) ) -> ch )
2	1	expr	|- ( ( ph /\ x e. A ) -> ( ps -> ch ) )
3	2	rexlimdva	|- ( ph -> ( E. x e. A ps -> ch ) )