Theorem pm5.36 849

Description: Theorem *5.36 of [WhiteheadRussell] p. 125. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm5.36	|- ((ph /\ (ph <-> ps)) <-> (ps /\ (ph <-> ps)))

Proof of Theorem pm5.36

Step	Hyp	Ref	Expression
1		id 19	. 2 |- ((ph <-> ps) -> (ph <-> ps))
2	1	pm5.32ri 619	1 |- ((ph /\ (ph <-> ps)) <-> (ps /\ (ph <-> ps)))

Syntax hints:   <-> wb 176   /\ 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-an 360

This theorem is referenced by: (None)