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Theorem bj-nffal 33685
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 33684 . 2  |-  ( A. x  -. F.  -> FF/ x F.  )
2 fal 1386 . 2  |-  -. F.
31, 2mpg 1603 1  |- FF/ x F.
Colors of variables: wff setvar class
Syntax hints:   -. wn 3   F. wfal 1384  FF/wnff 33678
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1601
This theorem depends on definitions:  df-bi 185  df-or 370  df-tru 1382  df-fal 1385  df-ex 1597  df-bj-nf 33679
This theorem is referenced by: (None)
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