Theorem pm5.62 889

Description: Theorem *5.62 of [WhiteheadRussell] p. 125. (Contributed by Roy F. Longton, 21-Jun-2005.)

Assertion

Ref	Expression
pm5.62	|- (((ph /\ ps) \/ -. ps) <-> (ph \/ -. ps))

Proof of Theorem pm5.62

Step	Hyp	Ref	Expression
1		exmid 404	. 2 |- (ps \/ -. ps)
2		ordir 835	. 2 |- (((ph /\ ps) \/ -. ps) <-> ((ph \/ -. ps) /\ (ps \/ -. ps)))
3	1, 2	mpbiran2 885	1 |- (((ph /\ ps) \/ -. ps) <-> (ph \/ -. ps))

Syntax hints:  -. wn 3   <-> 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: (None)