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Theorem vtocl3ga 2924
 Description: Implicit substitution of 3 classes for 3 setvar variables. (Contributed by NM, 20-Aug-1995.)
Hypotheses
Ref Expression
vtocl3ga.1
vtocl3ga.2
vtocl3ga.3
vtocl3ga.4
Assertion
Ref Expression
vtocl3ga
Distinct variable groups:   ,,,   ,,   ,   ,,,   ,,,   ,,,   ,   ,   ,
Allowed substitution hints:   (,,)   (,)   (,)   (,)   ()   (,)

Proof of Theorem vtocl3ga
StepHypRef Expression
1 nfcv 2489 . 2
2 nfcv 2489 . 2
3 nfcv 2489 . 2
4 nfcv 2489 . 2
5 nfcv 2489 . 2
6 nfcv 2489 . 2
7 nfv 1619 . 2
8 nfv 1619 . 2
9 nfv 1619 . 2
10 vtocl3ga.1 . 2
11 vtocl3ga.2 . 2
12 vtocl3ga.3 . 2
13 vtocl3ga.4 . 2
141, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13vtocl3gaf 2923 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   w3a 934   wceq 1642   wcel 1710 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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-3an 936  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:  preq12bg  4128
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