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Theorem exalim 1372
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 1371. (Contributed by Jim Kingdon, 29-Jul-2018.)
Assertion
Ref Expression
exalim

Proof of Theorem exalim
StepHypRef Expression
1 alnex 1369 . . 3
21biimpi 113 . 2
32con2i 545 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4  wal 1226  wex 1362
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 532  ax-in2 533  ax-5 1316  ax-gen 1318  ax-ie2 1364
This theorem depends on definitions:  df-bi 110  df-tru 1231  df-fal 1234
This theorem is referenced by:  n0rf  3210  ax9vsep  3854
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