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Theorem pm3.35 339
Description: Conjunctive detachment. Theorem *3.35 of [WhiteheadRussell] p. 112. (Contributed by NM, 14-Dec-2002.)
Assertion
Ref Expression
pm3.35  |-  ( (
ph  /\  ( ph  ->  ps ) )  ->  ps )

Proof of Theorem pm3.35
StepHypRef Expression
1 pm2.27 39 . 2  |-  ( ph  ->  ( ( ph  ->  ps )  ->  ps )
)
21imp 122 1  |-  ( (
ph  /\  ( ph  ->  ps ) )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105
This theorem is referenced by:  xordc1  1325  19.35-1  1556  ax9o  1629  sbequ8  1769  r19.29af2  2497  r19.29vva  2501  r19.35-1  2505  intab  3673
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