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Theorem bj-dcfal 14747
Description: The false truth value is decidable. (Contributed by BJ, 5-Aug-2024.)
Assertion
Ref Expression
bj-dcfal DECID

Proof of Theorem bj-dcfal
StepHypRef Expression
1 fal 1370 . 2 ¬ ⊥
2 bj-fadc 14746 . 2 (¬ ⊥ → DECID ⊥)
31, 2ax-mp 5 1 DECID
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  DECID wdc 835  wfal 1368
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 615  ax-in2 616  ax-io 710
This theorem depends on definitions:  df-bi 117  df-dc 836  df-tru 1366  df-fal 1369
This theorem is referenced by: (None)
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