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Theorem 19.32r 1567
Description: One direction of Theorem 19.32 of [Margaris] p. 90. The converse holds if is decidable, as seen at 19.32dc 1566. (Contributed by Jim Kingdon, 28-Jul-2018.)
Hypothesis
Ref Expression
19.32r.1  F/
Assertion
Ref Expression
19.32r

Proof of Theorem 19.32r
StepHypRef Expression
1 19.32r.1 . . 3  F/
2 orc 632 . . 3
31, 2alrimi 1412 . 2
4 olc 631 . . 3
54alimi 1341 . 2
63, 5jaoi 635 1
Colors of variables: wff set class
Syntax hints:   wi 4   wo 628  wal 1240   F/wnf 1346
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-io 629  ax-5 1333  ax-gen 1335  ax-4 1397
This theorem depends on definitions:  df-bi 110  df-nf 1347
This theorem is referenced by:  19.31r  1568
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