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Theorem exalim 1388
Description: One direction of a classical definition of existential quantification. One direction of Definition of [Margaris] p. 49. For a decidable proposition, this is an equivalence, as seen as dfexdc 1387. (Contributed by Jim Kingdon, 29-Jul-2018.)
Assertion
Ref Expression
exalim

Proof of Theorem exalim
StepHypRef Expression
1 alnex 1385 . . 3
21biimpi 113 . 2
32con2i 557 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4  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-5 1333  ax-gen 1335  ax-ie2 1380
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-fal 1248
This theorem is referenced by:  n0rf  3227  ax9vsep  3871
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