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Theorem bnj1209 33151
 Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj1209.1
bnj1209.2
Assertion
Ref Expression
bnj1209
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem bnj1209
StepHypRef Expression
1 bnj1209.1 . . . . 5
21bnj1196 33149 . . . 4
32ancli 551 . . 3
4 19.42v 1949 . . 3
53, 4sylibr 212 . 2
6 bnj1209.2 . . 3
7 3anass 977 . . 3
86, 7bitri 249 . 2
95, 8bnj1198 33150 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 184   wa 369   w3a 973  wex 1596   wcel 1767  wrex 2815 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1601  ax-4 1612  ax-5 1680  ax-6 1719  ax-7 1739  ax-10 1786  ax-12 1803 This theorem depends on definitions:  df-bi 185  df-an 371  df-3an 975  df-ex 1597  df-nf 1600  df-rex 2820 This theorem is referenced by:  bnj1501  33419  bnj1523  33423
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