Theorem bj-sylgt2 32601

Description: Uncurried (imported) form of sylgt 1749. (Contributed by BJ, 2-May-2019.)

Assertion

Ref	Expression
bj-sylgt2	|- ( ( A. x ( ps -> ch ) /\ ( ph -> A. x ps ) ) -> ( ph -> A. x ch ) )

Proof of Theorem bj-sylgt2

Step	Hyp	Ref	Expression
1		sylgt 1749	. 2 |- ( A. x ( ps -> ch ) -> ( ( ph -> A. x ps ) -> ( ph -> A. x ch ) ) )
2	1	imp 445	1 |- ( ( A. x ( ps -> ch ) /\ ( ph -> A. x ps ) ) -> ( ph -> A. x ch ) )

Syntax hints:   -> wi 4   /\ wa 384   A.wal 1481

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-4 1737

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by: (None)