Theorem pm4.76 593

Description: Theorem *4.76 of [WhiteheadRussell] p. 121. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm4.76	|- ( ( ( ph -> ps ) /\ ( ph -> ch ) ) <-> ( ph -> ( ps /\ ch ) ) )

Proof of Theorem pm4.76

Step	Hyp	Ref	Expression
1		jcab 592	. 2 |- ( ( ph -> ( ps /\ ch ) ) <-> ( ( ph -> ps ) /\ ( ph -> ch ) ) )
2	1	bicomi 131	1 |- ( ( ( ph -> ps ) /\ ( ph -> ch ) ) <-> ( ph -> ( ps /\ ch ) ) )

Syntax hints:   -> wi 4   /\ wa 103   <-> wb 104

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

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  sbanv  1861  fun11  5185