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Theorem pm3.35 344
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 40 . 2  |-  ( ph  ->  ( ( ph  ->  ps )  ->  ps )
)
21imp 123 1  |-  ( (
ph  /\  ( ph  ->  ps ) )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106
This theorem is referenced by:  xordc1  1371  19.35-1  1603  ax9o  1676  sbequ8  1819  r19.29af2  2570  r19.29vva  2575  r19.35-1  2579  intab  3795
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