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Theorem bnj1259 29385
 Description: Technical lemma for bnj60 29431. 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
bnj1259.1
bnj1259.2
bnj1259.3
bnj1259.4
bnj1259.5
bnj1259.6
bnj1259.7
Assertion
Ref Expression
bnj1259
Distinct variable groups:   ,   ,,   ,,   ,   ,   ,,   ,,
Allowed substitution hints:   (,,,,,)   (,,,,,)   (,,,,)   (,,,)   (,,,,,)   (,,,,,)   (,,,,)   (,,,,,)   (,,,)   (,,,,)

Proof of Theorem bnj1259
StepHypRef Expression
1 bnj1259.6 . 2
2 abid 2424 . . . 4
32bnj1238 29178 . . 3
4 bnj1259.2 . . . 4
5 bnj1259.3 . . . 4
6 eqid 2436 . . . 4
7 eqid 2436 . . . 4
84, 5, 6, 7bnj1234 29382 . . 3
93, 8eleq2s 2528 . 2
101, 9bnj771 29133 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 177   wa 359   w3a 936   wceq 1652   wcel 1725  cab 2422   wne 2599  wral 2705  wrex 2706  crab 2709   cin 3319   wss 3320  cop 3817   class class class wbr 4212   cdm 4878   cres 4880   wfn 5449  cfv 5454   w-bnj17 29050   c-bnj14 29052   w-bnj15 29056 This theorem is referenced by:  bnj1253  29386  bnj1286  29388  bnj1280  29389 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-rab 2714  df-v 2958  df-dif 3323  df-un 3325  df-in 3327  df-ss 3334  df-nul 3629  df-if 3740  df-sn 3820  df-pr 3821  df-op 3823  df-uni 4016  df-br 4213  df-opab 4267  df-rel 4885  df-cnv 4886  df-co 4887  df-dm 4888  df-res 4890  df-iota 5418  df-fun 5456  df-fn 5457  df-fv 5462  df-bnj17 29051
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