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Theorem bj-stfal 14497
Description: The false truth value is stable. (Contributed by BJ, 5-Aug-2024.)
Assertion
Ref Expression
bj-stfal STAB

Proof of Theorem bj-stfal
StepHypRef Expression
1 fal 1360 . 2 ¬ ⊥
2 bj-fast 14496 . 2 (¬ ⊥ → STAB ⊥)
31, 2ax-mp 5 1 STAB
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  STAB wstab 830  wfal 1358
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-in1 614  ax-in2 615
This theorem depends on definitions:  df-bi 117  df-stab 831  df-tru 1356  df-fal 1359
This theorem is referenced by: (None)
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