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Theorem bnj1525 29438
 Description: Technical lemma for bnj1522 29441. 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
bnj1525.1
bnj1525.2
bnj1525.3
bnj1525.4
bnj1525.5
bnj1525.6
Assertion
Ref Expression
bnj1525
Distinct variable groups:   ,   ,   ,   ,   ,
Allowed substitution hints:   (,,)   (,,)   (,)   (,,)   (,,)   (,)   (,,)   (,,)   (,)   (,,)

Proof of Theorem bnj1525
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 bnj1525.6 . . 3
2 bnj1525.5 . . . . 5
3 nfv 1629 . . . . . 6
4 nfv 1629 . . . . . 6
5 nfra1 2756 . . . . . 6
63, 4, 5nf3an 1849 . . . . 5
72, 6nfxfr 1579 . . . 4
8 bnj1525.4 . . . . . 6
9 bnj1525.3 . . . . . . . . 9
10 bnj1525.1 . . . . . . . . . 10
1110bnj1309 29391 . . . . . . . . 9
129, 11bnj1307 29392 . . . . . . . 8
1312nfcii 2563 . . . . . . 7
1413nfuni 4021 . . . . . 6
158, 14nfcxfr 2569 . . . . 5
16 nfcv 2572 . . . . 5
1715, 16nfne 2695 . . . 4
187, 17nfan 1846 . . 3
191, 18nfxfr 1579 . 2
2019nfri 1778 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wa 359   w3a 936  wal 1549   wceq 1652  cab 2422   wne 2599  wral 2705  wrex 2706   wss 3320  cop 3817  cuni 4015   cres 4880   wfn 5449  cfv 5454   c-bnj14 29052   w-bnj15 29056 This theorem is referenced by:  bnj1523  29440 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-ne 2601  df-ral 2710  df-rex 2711  df-uni 4016
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