Theorem pm2.41 597

Description: Theorem *2.41 of [WhiteheadRussell] p. 106. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm2.41	|- ( ( ps \/ ( ph \/ ps ) ) -> ( ph \/ ps ) )

Proof of Theorem pm2.41

Step	Hyp	Ref	Expression
1		olc 399	. 2 |- ( ps -> ( ph \/ ps ) )
2		id 22	. 2 |- ( ( ph \/ ps ) -> ( ph \/ ps ) )
3	1, 2	jaoi 394	1 |- ( ( ps \/ ( ph \/ ps ) ) -> ( ph \/ 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: (None)