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Theorem bdfal 12958
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 12957 . . 3  |- BOUNDED T.
21ax-bdn 12942 . 2  |- BOUNDED  -. T.
3 df-fal 1322 . 2  |-  ( F.  <->  -. T.  )
42, 3bd0r 12950 1  |- BOUNDED F.
Colors of variables: wff set class
Syntax hints:   -. wn 3   T. wtru 1317   F. wfal 1321  BOUNDED wbd 12937
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-bd0 12938  ax-bdim 12939  ax-bdn 12942  ax-bdeq 12945
This theorem depends on definitions:  df-bi 116  df-tru 1319  df-fal 1322
This theorem is referenced by:  bdnth  12959  bj-axemptylem  13017
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