Theorem pm4.56 792

Description: Theorem *4.56 of [WhiteheadRussell] p. 120. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm4.56	|- ( ( -. ph /\ -. ps ) <-> -. ( ph \/ ps ) )

Proof of Theorem pm4.56

Step	Hyp	Ref	Expression
1		ioran 764	. 2 |- ( -. ( ph \/ ps ) <-> ( -. ph /\ -. ps ) )
2	1	bicomi 132	1 |- ( ( -. ph /\ -. ps ) <-> -. ( ph \/ ps ) )

This proof depends on syntax axioms:   -. wn 3   /\ wa 104   <-> wb 105   \/ wo 720

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-in1 623  ax-in2 624  ax-io 721

This proof depends on definitions:  df-bi 117

This theorem is used by:  oranim  793  orandc  952  neanior  2507  prneimg  3899  nqnq0pi  7805