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Theorem bj-axempty2 10014
 Description: Axiom of the empty set from bounded separation, alternate version to bj-axempty 10013. (Contributed by BJ, 27-Oct-2020.) (Proof modification is discouraged.) Use ax-nul 3883 instead. (New usage is discouraged.)
Assertion
Ref Expression
bj-axempty2
Distinct variable group:   ,

Proof of Theorem bj-axempty2
StepHypRef Expression
1 bj-axemptylem 10012 . 2
2 dfnot 1262 . . . 4
32albii 1359 . . 3
43exbii 1496 . 2
51, 4mpbir 134 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4  wal 1241   wfal 1248  wex 1381 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 1336  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-4 1400  ax-ial 1427  ax-bd0 9933  ax-bdim 9934  ax-bdn 9937  ax-bdeq 9940  ax-bdsep 10004 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-fal 1249 This theorem is referenced by: (None)
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