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Theorem bj-nffal 30980
Description: The false constant has no free variables. (Contributed by BJ, 6-May-2019.)
Assertion
Ref Expression
bj-nffal  |- FF/ x F.

Proof of Theorem bj-nffal
StepHypRef Expression
1 bj-nfntht2 30979 . 2  |-  ( A. x  -. F.  -> FF/ x F.  )
2 fal 1444 . 2  |-  -. F.
31, 2mpg 1667 1  |- FF/ x F.
Colors of variables: wff setvar class
Syntax hints:   -. wn 3   F. wfal 1442  FF/wnff 30973
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1665
This theorem depends on definitions:  df-bi 188  df-or 371  df-tru 1440  df-fal 1443  df-ex 1660  df-bj-nf 30974
This theorem is referenced by: (None)
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