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Theorem aisfbistiaxb 27889
Description: Given a is equivalent to F., Given b is equivalent to T., there exists a proof for a-xor-b. (Contributed by Jarvin Udandy, 31-Aug-2016.)
Hypotheses
Ref Expression
aisfbistiaxb.1  |-  ( ph  <->  F.  )
aisfbistiaxb.2  |-  ( ps  <->  T.  )
Assertion
Ref Expression
aisfbistiaxb  |-  ( ph \/_ ps )

Proof of Theorem aisfbistiaxb
StepHypRef Expression
1 aisfbistiaxb.1 . . 3  |-  ( ph  <->  F.  )
21aisfina 27866 . 2  |-  -.  ph
3 aisfbistiaxb.2 . . 3  |-  ( ps  <->  T.  )
43aistia 27865 . 2  |-  ps
52, 4abnotataxb 27885 1  |-  ( ph \/_ ps )
Colors of variables: wff set class
Syntax hints:    <-> wb 176   \/_wxo 1295    T. wtru 1307    F. wfal 1308
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-or 359  df-an 360  df-xor 1296  df-tru 1310  df-fal 1311
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