Theorem pm3.43 906

Description: Theorem *3.43 (Comp) of [WhiteheadRussell] p. 113. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm3.43	|- ( ( ( ph -> ps ) /\ ( ph -> ch ) ) -> ( ph -> ( ps /\ ch ) ) )

Proof of Theorem pm3.43

Step	Hyp	Ref	Expression
1		pm3.43i 472	. 2 |- ( ( ph -> ps ) -> ( ( ph -> ch ) -> ( ph -> ( ps /\ ch ) ) ) )
2	1	imp 445	1 |- ( ( ( ph -> ps ) /\ ( ph -> 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:  jcab  907  eqvincg  3329  bnj1110  31050  jm2.18  37555  jm2.15nn0  37570  jm2.16nn0  37571  cotrintab  37921