Theorem pm3.42 583

Description: Theorem *3.42 of [WhiteheadRussell] p. 113. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm3.42	|- ( ( ps -> ch ) -> ( ( ph /\ ps ) -> ch ) )

Proof of Theorem pm3.42

Step	Hyp	Ref	Expression
1		simpr 477	. 2 |- ( ( ph /\ ps ) -> ps )
2	1	imim1i 63	1 |- ( ( ps -> ch ) -> ( ( ph /\ ps ) -> ch ) )

Syntax hints:   -> wi 4   /\ wa 384

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 197  df-an 386

This theorem is referenced by:  bnj1101  30855  islinindfis  42238