New Foundations Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  NFE Home  >  Th. List  >  vtoclga Unicode version

Theorem vtoclga 2920
 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 2489 . 2
2 nfv 1619 . 2
3 vtoclga.1 . 2
4 vtoclga.2 . 2
51, 2, 3, 4vtoclgaf 2919 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wceq 1642   wcel 1710 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-v 2861 This theorem is referenced by:  vtoclri  2929  ssuni  3913  peano2  4403  nncaddccl  4419  ltfintri  4466  ssfin  4470  nnadjoin  4520  fneu  5187  fnressn  5438  fressnfv  5439  ndmovcl  5614  caovord  5629  caovmo  5645  fvmptss  5705  leconnnc  6218
 Copyright terms: Public domain W3C validator