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Theorem alexdc 1507
Description: Theorem 19.6 of [Margaris] p. 89, given a decidability condition. The forward direction holds for all propositions, as seen at alexim 1533. (Contributed by Jim Kingdon, 2-Jun-2018.)
Assertion
Ref Expression
alexdc DECID

Proof of Theorem alexdc
StepHypRef Expression
1 nfa1 1431 . . 3  F/DECID
2 notnotdc 765 . . . 4 DECID
32sps 1427 . . 3 DECID
41, 3albid 1503 . 2 DECID
5 alnex 1385 . 2
64, 5syl6bb 185 1 DECID
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4   wb 98  DECID wdc 741  wal 1240  wex 1378
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-in1 544  ax-in2 545  ax-io 629  ax-5 1333  ax-gen 1335  ax-ie2 1380  ax-4 1397  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-dc 742  df-tru 1245  df-fal 1248  df-nf 1347
This theorem is referenced by: (None)
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