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Theorem bdfal 14207
Description: The truth value F. is bounded. (Contributed by BJ, 3-Oct-2019.)
Assertion
Ref Expression
bdfal  |- BOUNDED F.

Proof of Theorem bdfal
StepHypRef Expression
1 bdtru 14206 . . 3  |- BOUNDED T.
21ax-bdn 14191 . 2  |- BOUNDED  -. T.
3 df-fal 1359 . 2  |-  ( F.  <->  -. T.  )
42, 3bd0r 14199 1  |- BOUNDED F.
Colors of variables: wff set class
Syntax hints:   -. wn 3   T. wtru 1354   F. wfal 1358  BOUNDED wbd 14186
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-bd0 14187  ax-bdim 14188  ax-bdn 14191  ax-bdeq 14194
This theorem depends on definitions:  df-bi 117  df-tru 1356  df-fal 1359
This theorem is referenced by:  bdnth  14208  bj-axemptylem  14266
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