Theorem pm4.45 669

Description: Theorem *4.45 of [WhiteheadRussell] p. 119. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm4.45	|- (ph <-> (ph /\ (ph \/ ps)))

Proof of Theorem pm4.45

Step	Hyp	Ref	Expression
1		orc 374	. 2 |- (ph -> (ph \/ ps))
2	1	pm4.71i 613	1 |- (ph <-> (ph /\ (ph \/ ps)))

Syntax hints:   <-> wb 176   \/ wo 357   /\ wa 358

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 177  df-or 359  df-an 360

This theorem is referenced by:  dn1  932