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Theorem alexim 1533
Description: One direction of theorem 19.6 of [Margaris] p. 89. The converse holds given a decidability condition, as seen at alexdc 1507. (Contributed by Jim Kingdon, 2-Jul-2018.)
Assertion
Ref Expression
alexim

Proof of Theorem alexim
StepHypRef Expression
1 pm2.24 551 . . . . 5
21alimi 1341 . . . 4
3 exim 1487 . . . 4
42, 3syl 14 . . 3
5 nfv 1418 . . . 4  F/
6519.9 1532 . . 3
74, 6syl6ib 150 . 2
8 dfnot 1261 . 2
97, 8sylibr 137 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4  wal 1240   wfal 1247  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-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-17 1416  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-fal 1248  df-nf 1347
This theorem is referenced by:  exnalim  1534  exists2  1994
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