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Theorem trunantru 1344
Description: A  -/\ identity. (Contributed by Anthony Hart, 22-Oct-2010.) (Proof shortened by Andrew Salmon, 13-May-2011.)
Assertion
Ref Expression
trunantru  |-  ( (  T.  -/\  T.  )  <->  F.  )

Proof of Theorem trunantru
StepHypRef Expression
1 nannot 1293 . 2  |-  ( -.  T.  <->  (  T.  -/\  T.  ) )
2 nottru 1338 . 2  |-  ( -.  T.  <->  F.  )
31, 2bitr3i 242 1  |-  ( (  T.  -/\  T.  )  <->  F.  )
Colors of variables: wff set class
Syntax hints:   -. wn 3    <-> wb 176    -/\ wnan 1287    T. wtru 1307    F. wfal 1308
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 177  df-an 360  df-nan 1288  df-fal 1311
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