Theorem pm5.35 869

Description: Theorem *5.35 of [WhiteheadRussell] p. 125. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm5.35	|- (((ph -> ps) /\ (ph -> ch)) -> (ph -> (ps <-> ch)))

Proof of Theorem pm5.35

Step	Hyp	Ref	Expression
1		pm5.1 830	. 2 |- (((ph -> ps) /\ (ph -> ch)) -> ((ph -> ps) <-> (ph -> ch)))
2	1	pm5.74rd 239	1 |- (((ph -> ps) /\ (ph -> ch)) -> (ph -> (ps <-> ch)))

This proof depends on syntax axioms:   -> wi 4   <-> wb 176   /\ wa 358

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 177  df-an 360

This theorem is used by: (None)