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Theorem bitru 1487
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 1479 . 2
31, 22th 253 1 (𝜑 ↔ ⊤)
Colors of variables: wff setvar class
Syntax hints:  wb 195  wtru 1476
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 196  df-tru 1478
This theorem is referenced by:  truorfal  1502  falortru  1503  truimtru  1505  falimtru  1507  falimfal  1508  notfal  1510  trubitru  1511  falbifal  1514  0frgp  18015  tgcgr4  25226  astbstanbst  39725  atnaiana  39739  dandysum2p2e4  39814
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