Theorem bnj1095

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

	Ref	Expression
Hypothesis	bnj1095.1	|- ( ph <-> A. x e. A ps )
Assertion	bnj1095	|- ( ph -> A. x ph )

Proof

Step	Hyp	Ref	Expression
1		bnj1095.1	|- ( ph <-> A. x e. A ps )
2		hbra1	|- ( A. x e. A ps -> A. x A. x e. A ps )
3	1 2	hbxfrbi	|- ( ph -> A. x ph )