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Theorem bnj917 29305
 Description: Technical lemma for bnj69 29379. This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj917.1
bnj917.2
bnj917.3
bnj917.4
bnj917.5
Assertion
Ref Expression
bnj917
Distinct variable groups:   ,,,,   ,   ,,,,   ,,,,   ,
Allowed substitution hints:   (,,)   (,,,)   (,,,)   (,,,)   (,,)

Proof of Theorem bnj917
StepHypRef Expression
1 bnj917.1 . . 3
2 bnj917.2 . . 3
3 bnj917.3 . . 3
4 bnj917.4 . . 3
5 biid 228 . . 3
61, 2, 3, 4, 5bnj916 29304 . 2
7 bnj917.5 . . . . . 6
8 bnj252 29067 . . . . . 6
97, 8bitri 241 . . . . 5
1093anbi1i 1144 . . . 4
11 bnj253 29068 . . . 4
1210, 11bitr4i 244 . . 3
13123exbii 1594 . 2
146, 13sylibr 204 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wa 359   w3a 936  wex 1550   wceq 1652   wcel 1725  cab 2422  wral 2705  wrex 2706   cdif 3317  c0 3628  csn 3814  ciun 4093   csuc 4583  com 4845   wfn 5449  cfv 5454   w-bnj17 29050   c-bnj14 29052   c-bnj18 29058 This theorem is referenced by:  bnj981  29321  bnj996  29326 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2423  df-cleq 2429  df-clel 2432  df-nfc 2561  df-ral 2710  df-rex 2711  df-v 2958  df-iun 4095  df-fn 5457  df-bnj17 29051  df-bnj18 29059
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