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Theorem bnj1519 29371
 Description: Technical lemma for bnj1500 29374. 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
bnj1519.1
bnj1519.2
bnj1519.3
bnj1519.4
Assertion
Ref Expression
bnj1519
Distinct variable groups:   ,   ,   ,   ,
Allowed substitution hints:   (,)   (,,)   (,,)   (,)   (,,)   (,)   (,,)

Proof of Theorem bnj1519
StepHypRef Expression
1 bnj1519.4 . . . . 5
2 bnj1519.3 . . . . . . 7
3 nfre1 2754 . . . . . . . 8
43nfab 2575 . . . . . . 7
52, 4nfcxfr 2568 . . . . . 6
65nfuni 4013 . . . . 5
71, 6nfcxfr 2568 . . . 4
8 nfcv 2571 . . . 4
97, 8nffv 5727 . . 3
10 nfcv 2571 . . . 4
11 nfcv 2571 . . . . . 6
127, 11nfres 5140 . . . . 5
138, 12nfop 3992 . . . 4
1410, 13nffv 5727 . . 3
159, 14nfeq 2578 . 2
1615nfri 1778 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 359  wal 1549   wceq 1652  cab 2421  wral 2697  wrex 2698   wss 3312  cop 3809  cuni 4007   cres 4872   wfn 5441  cfv 5446   c-bnj14 28989 This theorem is referenced by:  bnj1501  29373 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 2416 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 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-ral 2702  df-rex 2703  df-rab 2706  df-v 2950  df-dif 3315  df-un 3317  df-in 3319  df-ss 3326  df-nul 3621  df-if 3732  df-sn 3812  df-pr 3813  df-op 3815  df-uni 4008  df-br 4205  df-opab 4259  df-xp 4876  df-res 4882  df-iota 5410  df-fv 5454
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