Theorem reximi

Description: Inference quantifying both antecedent and consequent. (Contributed by NM, 18-Oct-1996)

	Ref	Expression
Hypothesis	reximi.1	|- ( ph -> ps )
Assertion	reximi	|- ( E. x e. A ph -> E. x e. A ps )

Proof

Step	Hyp	Ref	Expression
1		reximi.1	|- ( ph -> ps )
2	1	a1i	|- ( x e. A -> ( ph -> ps ) )
3	2	reximia	|- ( E. x e. A ph -> E. x e. A ps )