Theorem bnj534

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

	Ref	Expression
Hypothesis	bnj534.1	|- ( ch -> ( E. x ph /\ ps ) )
Assertion	bnj534	|- ( ch -> E. x ( ph /\ ps ) )

Proof

Step	Hyp	Ref	Expression
1		bnj534.1	|- ( ch -> ( E. x ph /\ ps ) )
2		19.41v	|- ( E. x ( ph /\ ps ) <-> ( E. x ph /\ ps ) )
3	1 2	sylibr	|- ( ch -> E. x ( ph /\ ps ) )