Theorem pm4.45 774

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 702	. 2 |- ( ph -> ( ph \/ ps ) )
2	1	pm4.71i 389	1 |- ( ph <-> ( ph /\ ( ph \/ ps ) ) )

Syntax hints:   /\ wa 103   <-> wb 104   \/ wo 698

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  dn1dc  950