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Theorem tbtru 1536
Description: A proposition is equivalent to itself being equivalent to . (Contributed by Anthony Hart, 14-Aug-2011.)
Assertion
Ref Expression
tbtru (𝜑 ↔ (𝜑 ↔ ⊤))

Proof of Theorem tbtru
StepHypRef Expression
1 tru 1532 . 2
21tbt 371 1 (𝜑 ↔ (𝜑 ↔ ⊤))
Colors of variables: wff setvar class
Syntax hints:  wb 207  wtru 1529
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 208  df-tru 1531
This theorem is referenced by:  falbitru  1558  tgcgr4  26244  sgn3da  31698  prjspvs  39138  aistia  43010
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