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Theorem bitru 1308
Description: A theorem is equivalent to truth. (Contributed by Mario Carneiro, 9-May-2015.)
Hypothesis
Ref Expression
bitru.1 𝜑
Assertion
Ref Expression
bitru (𝜑 ↔ ⊤)

Proof of Theorem bitru
StepHypRef Expression
1 bitru.1 . 2 𝜑
2 tru 1300 . 2
31, 22th 173 1 (𝜑 ↔ ⊤)
Colors of variables: wff set class
Syntax hints:  wb 104  wtru 1297
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-tru 1299
This theorem is referenced by:  truorfal  1349  falortru  1350  truimtru  1352  falimtru  1354  falimfal  1355  notfal  1357  trubitru  1358  falbifal  1361
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