Theorem pm2.67-2 708

Description: Slight generalization of Theorem *2.67 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) (Revised by NM, 9-Dec-2012.)

Assertion

Ref	Expression
pm2.67-2	|- ( ( ( ph \/ ch ) -> ps ) -> ( ph -> ps ) )

Proof of Theorem pm2.67-2

Step	Hyp	Ref	Expression
1		orc 707	. 2 |- ( ph -> ( ph \/ ch ) )
2	1	imim1i 60	1 |- ( ( ( ph \/ ch ) -> ps ) -> ( ph -> ps ) )

Syntax hints:   -> wi 4   \/ wo 703

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-io 704

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  oibabs  709  pm2.67  738