Theorem pm2.3 596

Description: Theorem *2.3 of [WhiteheadRussell] p. 104. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm2.3	|- ( ( ph \/ ( ps \/ ch ) ) -> ( ph \/ ( ch \/ ps ) ) )

Proof of Theorem pm2.3

Step	Hyp	Ref	Expression
1		pm1.4 401	. 2 |- ( ( ps \/ ch ) -> ( ch \/ ps ) )
2	1	orim2i 540	1 |- ( ( ph \/ ( ps \/ ch ) ) -> ( ph \/ ( ch \/ 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:  meran1  32410  meran3  32412