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Theorem bnj1447 29489
 Description: Technical lemma for bnj60 29505. 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
bnj1447.1
bnj1447.2
bnj1447.3
bnj1447.4
bnj1447.5
bnj1447.6
bnj1447.7
bnj1447.8
bnj1447.9
bnj1447.10
bnj1447.11
bnj1447.12
bnj1447.13
Assertion
Ref Expression
bnj1447
Distinct variable groups:   ,   ,   ,   ,   ,
Allowed substitution hints:   (,,,,)   (,,,,)   (,,,,)   (,,,)   (,,,,)   (,,,,)   (,,,,)   (,,,,)   (,,,,)   (,,,)   (,,,)   (,,,,)   (,,,,)   (,,,,)   (,,,,)   (,,,,)

Proof of Theorem bnj1447
StepHypRef Expression
1 bnj1447.12 . . . . 5
2 bnj1447.10 . . . . . . 7
3 bnj1447.9 . . . . . . . . 9
4 nfre1 2764 . . . . . . . . . 10
54nfab 2578 . . . . . . . . 9
63, 5nfcxfr 2571 . . . . . . . 8
76nfuni 4023 . . . . . . 7
82, 7nfcxfr 2571 . . . . . 6
9 nfcv 2574 . . . . . . . 8
10 nfcv 2574 . . . . . . . . 9
11 bnj1447.11 . . . . . . . . . 10
12 nfcv 2574 . . . . . . . . . . . 12
138, 12nfres 5151 . . . . . . . . . . 11
149, 13nfop 4002 . . . . . . . . . 10
1511, 14nfcxfr 2571 . . . . . . . . 9
1610, 15nffv 5738 . . . . . . . 8
179, 16nfop 4002 . . . . . . 7
1817nfsn 3868 . . . . . 6
198, 18nfun 3505 . . . . 5
201, 19nfcxfr 2571 . . . 4
21 nfcv 2574 . . . 4
2220, 21nffv 5738 . . 3
23 bnj1447.13 . . . . 5
24 nfcv 2574 . . . . . . 7
2520, 24nfres 5151 . . . . . 6
2621, 25nfop 4002 . . . . 5
2723, 26nfcxfr 2571 . . . 4
2810, 27nffv 5738 . . 3
2922, 28nfeq 2581 . 2
3029nfri 1779 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 178   wa 360   w3a 937  wal 1550  wex 1551   wceq 1653   wcel 1726  cab 2424   wne 2601  wral 2707  wrex 2708  crab 2711  wsbc 3163   cun 3320   wss 3322  c0 3630  csn 3816  cop 3819  cuni 4017   class class class wbr 4215   cdm 4881   cres 4883   wfn 5452  cfv 5457   c-bnj14 29126   w-bnj15 29130   c-bnj18 29132 This theorem is referenced by:  bnj1450  29493 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-ral 2712  df-rex 2713  df-rab 2716  df-v 2960  df-dif 3325  df-un 3327  df-in 3329  df-ss 3336  df-nul 3631  df-if 3742  df-sn 3822  df-pr 3823  df-op 3825  df-uni 4018  df-br 4216  df-opab 4270  df-xp 4887  df-res 4893  df-iota 5421  df-fv 5465
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