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Theorem bnj1121 29796
 Description: Technical lemma for bnj69 29821. 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 1909 . . . . 5
21bnj707 29567 . . . 4
3 bnj1121.3 . . . . 5
4 bnj1121.7 . . . . 5
53, 4bnj1083 29789 . . . 4
62, 5sylibr 216 . . 3
7 bnj1121.4 . . . . . 6
87simplbi 462 . . . . 5
98bnj708 29568 . . . 4
103bnj1235 29618 . . . . . 6
1110bnj707 29567 . . . . 5
12 fndm 5691 . . . . 5
1311, 12syl 17 . . . 4
149, 13eleqtrrd 2514 . . 3
15 bnj1121.6 . . . . 5
1615, 9bnj1294 29631 . . . 4
17 bnj1121.5 . . . 4
1816, 17sylib 200 . . 3
196, 14, 18mp2and 684 . 2
207simprbi 466 . . 3
2120bnj708 29568 . 2
2219, 21sseldd 3466 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 188   wa 371   w3a 983   wceq 1438  wex 1660   wcel 1869  cab 2408  wral 2776  wrex 2777  cvv 3082   wss 3437   cdm 4851   wfn 5594  cfv 5599   w-bnj17 29493   c-bnj14 29495   w-bnj15 29499   w-bnj19 29503 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1666  ax-4 1679  ax-5 1749  ax-6 1795  ax-7 1840  ax-10 1888  ax-11 1893  ax-12 1906  ax-13 2054  ax-ext 2401 This theorem depends on definitions:  df-bi 189  df-an 373  df-3an 985  df-tru 1441  df-ex 1661  df-nf 1665  df-sb 1788  df-clab 2409  df-cleq 2415  df-clel 2418  df-ral 2781  df-rex 2782  df-in 3444  df-ss 3451  df-fn 5602  df-bnj17 29494 This theorem is referenced by:  bnj1030  29798
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