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Theorem bitru 1365
Description: A theorem is equivalent to truth. (Contributed by Mario Carneiro, 9-May-2015.)
Hypothesis
Ref Expression
bitru.1  |-  ph
Assertion
Ref Expression
bitru  |-  ( ph  <-> T.  )

Proof of Theorem bitru
StepHypRef Expression
1 bitru.1 . 2  |-  ph
2 tru 1357 . 2  |- T.
31, 22th 174 1  |-  ( ph  <-> T.  )
Colors of variables: wff set class
Syntax hints:    <-> wb 105   T. wtru 1354
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108
This theorem depends on definitions:  df-bi 117  df-tru 1356
This theorem is referenced by:  truorfal  1406  falortru  1407  truimtru  1409  falimtru  1411  falimfal  1412  notfal  1414  trubitru  1415  falbifal  1418
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