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Theorem bj-trdc 14126
Description: A provable formula is decidable. (Contributed by BJ, 24-Nov-2023.)
Assertion
Ref Expression
bj-trdc  |-  ( ph  -> DECID  ph )

Proof of Theorem bj-trdc
StepHypRef Expression
1 orc 712 . 2  |-  ( ph  ->  ( ph  \/  -.  ph ) )
2 df-dc 835 . 2  |-  (DECID  ph  <->  ( ph  \/  -.  ph ) )
31, 2sylibr 134 1  |-  ( ph  -> DECID  ph )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4    \/ wo 708  DECID wdc 834
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-io 709
This theorem depends on definitions:  df-bi 117  df-dc 835
This theorem is referenced by:  bj-dctru  14127  bj-nnbidc  14131
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