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Theorem pm3.43 857
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
StepHypRef Expression
1 pm3.43i 456 . 2  |-  ( (
ph  ->  ps )  -> 
( ( ph  ->  ch )  ->  ( ph  ->  ( ps  /\  ch ) ) ) )
21imp 429 1  |-  ( ( ( ph  ->  ps )  /\  ( ph  ->  ch ) )  ->  ( ph  ->  ( ps  /\  ch ) ) )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 369
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 185  df-an 371
This theorem is referenced by:  jcab  858  eqvinc  3180  eqvincg  25991  jm2.18  29472  jm2.15nn0  29487  jm2.16nn0  29488  bnj1110  32270
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