ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  truimtru Unicode version

Theorem truimtru 1372
Description: A  -> identity. (Contributed by Anthony Hart, 22-Oct-2010.)
Assertion
Ref Expression
truimtru  |-  ( ( T.  -> T.  )  <-> T.  )

Proof of Theorem truimtru
StepHypRef Expression
1 id 19 . 2  |-  ( T. 
-> T.  )
21bitru 1328 1  |-  ( ( T.  -> T.  )  <-> T.  )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 104   T. wtru 1317
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-tru 1319
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator