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Theorem bnj1053 29787
 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
bnj1053.1
bnj1053.2
bnj1053.3
bnj1053.4
bnj1053.5
bnj1053.6
bnj1053.7
bnj1053.8
bnj1053.9
bnj1053.10
bnj1053.37
Assertion
Ref Expression
bnj1053
Distinct variable groups:   ,,,,   ,,,,   ,,,,   ,   ,,,,   ,   ,,,,   ,   ,   ,,,,   ,,,,   ,,   ,
Allowed substitution hints:   (,,,,)   (,,,,,)   (,,,,,)   (,)   (,)   (,,,,)   (,,,,,)   (,,,,,)   ()   (,)   (,,,,)   ()   (,,,,,)   ()

Proof of Theorem bnj1053
StepHypRef Expression
1 bnj1053.1 . 2
2 bnj1053.2 . 2
3 bnj1053.3 . 2
4 bnj1053.4 . 2
5 bnj1053.5 . 2
6 bnj1053.6 . 2
7 bnj1053.7 . 2
8 bnj1053.8 . 2
9 bnj1053.9 . 2
10 bnj1053.10 . 2
117bnj923 29581 . . . . . 6
12 nnord 6712 . . . . . 6
13 ordfr 5455 . . . . . 6
1411, 12, 133syl 18 . . . . 5
153, 14bnj769 29575 . . . 4
1615bnj707 29567 . . 3
17 bnj1053.37 . . 3
1816, 17jca 535 . 2
191, 2, 3, 4, 5, 6, 7, 8, 9, 10, 18bnj1052 29786 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 188   wa 371   w3a 983   wceq 1438   wcel 1869  cab 2408  wral 2776  wrex 2777  cvv 3082  wsbc 3300   cdif 3434   wss 3437  c0 3762  csn 3997  ciun 4297   class class class wbr 4421   cep 4760   wfr 4807   word 5439   csuc 5442   wfn 5594  cfv 5599  com 6704   w-bnj17 29493   c-bnj14 29495   w-bnj15 29499   c-bnj18 29501   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-8 1871  ax-9 1873  ax-10 1888  ax-11 1893  ax-12 1906  ax-13 2054  ax-ext 2401  ax-sep 4544  ax-nul 4553  ax-pr 4658  ax-un 6595 This theorem depends on definitions:  df-bi 189  df-or 372  df-an 373  df-3or 984  df-3an 985  df-tru 1441  df-fal 1444  df-ex 1661  df-nf 1665  df-sb 1788  df-eu 2270  df-mo 2271  df-clab 2409  df-cleq 2415  df-clel 2418  df-nfc 2573  df-ne 2621  df-ral 2781  df-rex 2782  df-rab 2785  df-v 3084  df-sbc 3301  df-csb 3397  df-dif 3440  df-un 3442  df-in 3444  df-ss 3451  df-pss 3453  df-nul 3763  df-if 3911  df-sn 3998  df-pr 4000  df-tp 4002  df-op 4004  df-uni 4218  df-iun 4299  df-br 4422  df-opab 4481  df-tr 4517  df-eprel 4762  df-po 4772  df-so 4773  df-fr 4810  df-we 4812  df-ord 5443  df-on 5444  df-lim 5445  df-suc 5446  df-fn 5602  df-om 6705  df-bnj17 29494  df-bnj18 29502 This theorem is referenced by: (None)
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