Theorem pm3.42 328

Description: Theorem *3.42 of [WhiteheadRussell] p. 113.

Assertion

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

Proof of Theorem pm3.42

Step	Hyp	Ref	Expression
1		pm3.27 323	. 2 |- ((ph /\ ps) -> ps)
2	1	imim1i 16	1 |- ((ps -> ch) -> ((ph /\ ps) -> ch))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  iscms2lem4 7989

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225

Copyright terms: Public domain