Theorem alsyl 1614

Description: Theorem *10.3 in [WhiteheadRussell] p. 150. (Contributed by Andrew Salmon, 8-Jun-2011.)

Assertion

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

Proof of Theorem alsyl

Step	Hyp	Ref	Expression
1		pm3.33 342	. 2 |- ( ( ( ph -> ps ) /\ ( ps -> ch ) ) -> ( ph -> ch ) )
2	1	alanimi 1435	1 |- ( ( A. x ( ph -> ps ) /\ A. x ( ps -> ch ) ) -> A. x ( ph -> ch ) )

Syntax hints:   -> wi 4   /\ wa 103   A.wal 1329

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1423  ax-gen 1425

This theorem is referenced by:  barbara  2097