Theorem bnj1352

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

	Ref	Expression
Hypothesis	bnj1352.1	|- ( ps -> A. x ps )
Assertion	bnj1352	|- ( ( ph /\ ps ) -> A. x ( ph /\ ps ) )

Proof

Step	Hyp	Ref	Expression
1		bnj1352.1	|- ( ps -> A. x ps )
2		ax-5	|- ( ph -> A. x ph )
3	2 1	hban	|- ( ( ph /\ ps ) -> A. x ( ph /\ ps ) )