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Theorem bitru 1271
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 1263 . 2
31, 22th 167 1 (𝜑 ↔ ⊤)
Colors of variables: wff set class
Syntax hints:  wb 102  wtru 1260
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105
This theorem depends on definitions:  df-bi 114  df-tru 1262
This theorem is referenced by:  truorfal  1313  falortru  1314  truimtru  1316  falimtru  1318  falimfal  1319  notfal  1321  trubitru  1322  falbifal  1325
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