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Theorem nffal 1881
Description: The false constant has no free variables (see nftru 1879). (Contributed by BJ, 6-May-2019.)
Assertion
Ref Expression
nffal 𝑥

Proof of Theorem nffal
StepHypRef Expression
1 fal 1639 . 2 ¬ ⊥
21nfnth 1877 1 𝑥
Colors of variables: wff setvar class
Syntax hints:  wfal 1637  wnf 1857
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871
This theorem depends on definitions:  df-bi 197  df-or 384  df-tru 1635  df-fal 1638  df-ex 1854  df-nf 1859
This theorem is referenced by: (None)
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