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Theorem bnj1121 29354
 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
bnj1121.1
bnj1121.2
bnj1121.3
bnj1121.4
bnj1121.5
bnj1121.6
bnj1121.7
Assertion
Ref Expression
bnj1121

Proof of Theorem bnj1121
StepHypRef Expression
1 19.8a 1762 . . . . 5
21bnj707 29123 . . . 4
3 bnj1121.3 . . . . 5
4 bnj1121.7 . . . . 5
53, 4bnj1083 29347 . . . 4
62, 5sylibr 204 . . 3
7 bnj1121.4 . . . . . 6
87simplbi 447 . . . . 5
98bnj708 29124 . . . 4
103bnj1235 29176 . . . . . 6
1110bnj707 29123 . . . . 5
12 fndm 5544 . . . . 5
1311, 12syl 16 . . . 4
149, 13eleqtrrd 2513 . . 3
15 bnj1121.6 . . . . 5
1615, 9bnj1294 29189 . . . 4
17 bnj1121.5 . . . 4
1816, 17sylib 189 . . 3
196, 14, 18mp2and 661 . 2
207simprbi 451 . . 3
2120bnj708 29124 . 2
2219, 21sseldd 3349 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  cvv 2956   wss 3320   cdm 4878   wfn 5449  cfv 5454   w-bnj17 29050   c-bnj14 29052   w-bnj15 29056   w-bnj19 29060 This theorem is referenced by:  bnj1030  29356 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-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-ral 2710  df-rex 2711  df-in 3327  df-ss 3334  df-fn 5457  df-bnj17 29051
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