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Theorem truimfal 1351
Description: A  -> identity. (Contributed by Anthony Hart, 22-Oct-2010.) (Proof shortened by Andrew Salmon, 13-May-2011.)
Assertion
Ref Expression
truimfal  |-  ( (  T.  ->  F.  )  <->  F.  )

Proof of Theorem truimfal
StepHypRef Expression
1 tru 1327 . . 3  |-  T.
21a1bi 328 . 2  |-  (  F.  <->  (  T.  ->  F.  )
)
32bicomi 194 1  |-  ( (  T.  ->  F.  )  <->  F.  )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 177    T. wtru 1322    F. wfal 1323
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 178  df-tru 1325
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