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Theorem bj-dcbi 11702
 Description: Equivalence property for DECID. TODO: solve conflict with dcbi 882; minimize dcbii 785 and dcbid 786 with it, as well as theorems using those. (Contributed by BJ, 27-Jan-2020.) (Proof modification is discouraged.)
Assertion
Ref Expression
bj-dcbi DECID DECID

Proof of Theorem bj-dcbi
StepHypRef Expression
1 id 19 . . 3
2 bj-notbi 11699 . . 3
31, 2orbi12d 742 . 2
4 df-dc 781 . 2 DECID
5 df-dc 781 . 2 DECID
63, 4, 53bitr4g 221 1 DECID DECID
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 103   wo 664  DECID wdc 780 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-in1 579  ax-in2 580  ax-io 665 This theorem depends on definitions:  df-bi 115  df-dc 781 This theorem is referenced by:  bj-d0clsepcl  11703
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