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Theorem trant 24949
Description: A true antecedent can be removed. (Contributed by FL, 16-Apr-2012.)
Assertion
Ref Expression
trant  |-  ( (  T.  ->  ph )  <->  ph )

Proof of Theorem trant
StepHypRef Expression
1 pm5.5 326 . 2  |-  (  T. 
->  ( (  T.  ->  ph )  <->  ph ) )
21trud 1314 1  |-  ( (  T.  ->  ph )  <->  ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 176    T. wtru 1307
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-tru 1310
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