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Theorem inex1g 3856
Description: Closed-form, generalized Separation Scheme. (Contributed by NM, 7-Apr-1995.)
Assertion
Ref Expression
inex1g  V  i^i 
_V

Proof of Theorem inex1g
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ineq1 3099 . . 3  i^i  i^i
21eleq1d 2079 . 2  i^i  _V  i^i 
_V
3 vex 2529 . . 3 
_V
43inex1 3854 . 2  i^i 
_V
52, 4vtoclg 2581 1  V  i^i 
_V
Colors of variables: wff set class
Syntax hints:   wi 4   wceq 1223   wcel 1366   _Vcvv 2526    i^i cin 2884
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 614  ax-5 1309  ax-7 1310  ax-gen 1311  ax-ie1 1355  ax-ie2 1356  ax-8 1368  ax-10 1369  ax-11 1370  ax-i12 1371  ax-bnd 1372  ax-4 1373  ax-17 1392  ax-i9 1396  ax-ial 1400  ax-i5r 1401  ax-ext 1995  ax-sep 3838
This theorem depends on definitions:  df-bi 110  df-tru 1226  df-nf 1323  df-sb 1619  df-clab 2000  df-cleq 2006  df-clel 2009  df-nfc 2140  df-v 2528  df-in 2892
This theorem is referenced by:  onin  4061  dmresexg  4549  funimaexg  4897  offval  5630  offval3  5672
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