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Theorem alexdc 1598
 Description: Theorem 19.6 of [Margaris] p. 89, given a decidability condition. The forward direction holds for all propositions, as seen at alexim 1624. (Contributed by Jim Kingdon, 2-Jun-2018.)
Assertion
Ref Expression
alexdc DECID

Proof of Theorem alexdc
StepHypRef Expression
1 nfa1 1521 . . 3 DECID
2 notnotbdc 857 . . . 4 DECID
32sps 1517 . . 3 DECID
41, 3albid 1594 . 2 DECID
5 alnex 1475 . 2
64, 5syl6bb 195 1 DECID
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 104  DECID wdc 819  wal 1329  wex 1468 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 603  ax-in2 604  ax-io 698  ax-5 1423  ax-gen 1425  ax-ie2 1470  ax-4 1487  ax-ial 1514 This theorem depends on definitions:  df-bi 116  df-dc 820  df-tru 1334  df-fal 1337  df-nf 1437 This theorem is referenced by: (None)
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