Theorem exsimpl

Description: Simplification of an existentially quantified conjunction. (Contributed by Rodolfo Medina, 25-Sep-2010) (Proof shortened by Andrew Salmon, 29-Jun-2011)

	Ref	Expression
Assertion	exsimpl	|- ( E. x ( ph /\ ps ) -> E. x ph )

Proof

Step	Hyp	Ref	Expression
1		simpl	|- ( ( ph /\ ps ) -> ph )
2	1	eximi	|- ( E. x ( ph /\ ps ) -> E. x ph )