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Theorem bdfal 9288
Description: The truth value is bounded. (Contributed by BJ, 3-Oct-2019.)
Assertion
Ref Expression
bdfal BOUNDED

Proof of Theorem bdfal
StepHypRef Expression
1 bdtru 9287 . . 3 BOUNDED
21ax-bdn 9272 . 2 BOUNDED
3 df-fal 1248 . 2
42, 3bd0r 9280 1 BOUNDED
Colors of variables: wff set class
Syntax hints:   wn 3   wtru 1243   wfal 1247  BOUNDED wbd 9267
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-bd0 9268  ax-bdim 9269  ax-bdn 9272  ax-bdeq 9275
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-fal 1248
This theorem is referenced by:  bdnth  9289  bj-axemptylem  9347
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