Theorem spsd 1531

Description: Deduction generalizing antecedent. (Contributed by NM, 17-Aug-1994.)

Hypothesis

Ref	Expression
spsd.1	|- ( ph -> ( ps -> ch ) )

Assertion

Ref	Expression
spsd	|- ( ph -> ( A. x ps -> ch ) )

Proof of Theorem spsd

Step	Hyp	Ref	Expression
1		sp 1504	. 2 |- ( A. x ps -> ps )
2		spsd.1	. 2 |- ( ph -> ( ps -> ch ) )
3	1, 2	syl5 32	1 |- ( ph -> ( A. x ps -> ch ) )

Syntax hints:   -> wi 4   A.wal 1346

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-4 1503

This theorem is referenced by:  moexexdc  2103  euexex  2104