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Theorem pm3.34 572
Description: Theorem *3.34 (Syll) of [WhiteheadRussell] p. 112. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm3.34  |-  ( ( ( ps  ->  ch )  /\  ( ph  ->  ps ) )  ->  ( ph  ->  ch ) )

Proof of Theorem pm3.34
StepHypRef Expression
1 imim2 51 . 2  |-  ( ( ps  ->  ch )  ->  ( ( ph  ->  ps )  ->  ( ph  ->  ch ) ) )
21imp 420 1  |-  ( ( ( ps  ->  ch )  /\  ( ph  ->  ps ) )  ->  ( ph  ->  ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6    /\ wa 360
This theorem is referenced by:  algcvgblem  12621  a9e2ndeqALT  27398
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10
This theorem depends on definitions:  df-bi 179  df-an 362
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