Theorem pm2.62 425

Description: Theorem *2.62 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 13-Dec-2013.)

Assertion

Ref	Expression
pm2.62	|- ( ( ph \/ ps ) -> ( ( ph -> ps ) -> ps ) )

Proof of Theorem pm2.62

Step	Hyp	Ref	Expression
1		pm2.621 424	. 2 |- ( ( ph -> ps ) -> ( ( ph \/ ps ) -> ps ) )
2	1	com12 32	1 |- ( ( ph \/ ps ) -> ( ( ph -> ps ) -> ps ) )

Syntax hints:   -> wi 4   \/ wo 383

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

This theorem depends on definitions:  df-bi 197  df-or 385

This theorem is referenced by:  dfor2  427  plyrem  24060