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Theorem vtoclga 2619
 Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 20-Aug-1995.)
Hypotheses
Ref Expression
vtoclga.1
vtoclga.2
Assertion
Ref Expression
vtoclga
Distinct variable groups:   ,   ,   ,
Allowed substitution hint:   ()

Proof of Theorem vtoclga
StepHypRef Expression
1 nfcv 2178 . 2
2 nfv 1421 . 2
3 vtoclga.1 . 2
4 vtoclga.2 . 2
51, 2, 3, 4vtoclgaf 2618 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 98   wceq 1243   wcel 1393 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 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-nfc 2167  df-v 2559 This theorem is referenced by:  vtoclri  2628  ssuni  3602  ordtriexmid  4247  onsucsssucexmid  4252  tfis3  4309  fvmpt3  5251  fvmptssdm  5255  fnressn  5349  fressnfv  5350  caovord  5672  caovimo  5694  tfrlem1  5923  freccl  5993  nnacl  6059  nnmcl  6060  nnacom  6063  nnaass  6064  nndi  6065  nnmass  6066  nnmsucr  6067  nnmcom  6068  nnsucsssuc  6071  nntri3or  6072  nnaordi  6081  nnaword  6084  nnmordi  6089  nnaordex  6100  findcard  6345  findcard2  6346  findcard2s  6347  indpi  6440  prarloclem3  6595  uzind4s2  8534  cnref1o  8582  frec2uzrdg  9195  expcl2lemap  9267  climub  9864  climserile  9865  ialginv  9886  ialgcvg  9887  ialgcvga  9890  ialgfx  9891
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