Theorem bnj1517

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

	Ref	Expression
Hypothesis	bnj1517.1	|- A = { x | ( ph /\ ps ) }
Assertion	bnj1517	|- ( x e. A -> ps )

Proof

Step	Hyp	Ref	Expression
1		bnj1517.1	|- A = { x | ( ph /\ ps ) }
2	1	bnj1436	|- ( x e. A -> ( ph /\ ps ) )
3	2	simprd	|- ( x e. A -> ps )