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Theorem vtoclb 2747
 Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 23-Dec-1993.)
Hypotheses
Ref Expression
vtoclb.1
vtoclb.2
vtoclb.3
vtoclb.4
Assertion
Ref Expression
vtoclb
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem vtoclb
StepHypRef Expression
1 vtoclb.1 . 2
2 vtoclb.2 . . 3
3 vtoclb.3 . . 3
42, 3bibi12d 234 . 2
5 vtoclb.4 . 2
61, 4, 5vtocl 2744 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 104   wceq 1332   wcel 1481  cvv 2690 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1424  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1483  ax-4 1488  ax-17 1507  ax-i9 1511  ax-ial 1515  ax-ext 2122 This theorem depends on definitions:  df-bi 116  df-nf 1438  df-sb 1737  df-clab 2127  df-cleq 2133  df-clel 2136  df-v 2692 This theorem is referenced by:  alexeq  2816  sbss  3477
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