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Theorem bitru 1240
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 1232 . 2
31, 22th 163 1 (φ ↔ ⊤ )
Colors of variables: wff set class
Syntax hints:  wb 98  wtru 1229
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101
This theorem depends on definitions:  df-bi 110  df-tru 1231
This theorem is referenced by:  truorfal  1280  falortru  1281  truimtru  1283  falimtru  1285  falimfal  1286  notfal  1288  trubitru  1289  falbifal  1292
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