Theorem bnj1265

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypothesis	bnj1265.1	|- ( ph -> E. x e. A ps )
Assertion	bnj1265	|- ( ph -> ps )

Proof

Step	Hyp	Ref	Expression
1		bnj1265.1	|- ( ph -> E. x e. A ps )
2	1	bnj1196	|- ( ph -> E. x ( x e. A /\ ps ) )
3	2	bnj1266	|- ( ph -> E. x ps )
4	3	bnj937	|- ( ph -> ps )