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Theorem vtocld 2907
Description: Implicit substitution of a class for a setvar variable. (Contributed by Mario Carneiro, 15-Oct-2016.)
Hypotheses
Ref Expression
vtocld.1
vtocld.2
vtocld.3
Assertion
Ref Expression
vtocld
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem vtocld
StepHypRef Expression
1 vtocld.1 . 2
2 vtocld.2 . 2
3 vtocld.3 . 2
4 nfv 1619 . 2  F/
5 nfcvd 2490 . 2  F/_
6 nfvd 1620 . 2  F/
71, 2, 3, 4, 5, 6vtocldf 2906 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358   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-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: (None)
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