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Theorem bdcvv 13852
Description: The universal class is bounded. The formulation may sound strange, but recall that here, "bounded" means "Δ0". (Contributed by BJ, 3-Oct-2019.)
Assertion
Ref Expression
bdcvv  |- BOUNDED  _V

Proof of Theorem bdcvv
StepHypRef Expression
1 vex 2733 . . 3  |-  x  e. 
_V
21bdth 13826 . 2  |- BOUNDED  x  e.  _V
32bdelir 13842 1  |- BOUNDED  _V
Colors of variables: wff set class
Syntax hints:    e. wcel 2141   _Vcvv 2730  BOUNDED wbdc 13835
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 1440  ax-gen 1442  ax-ie1 1486  ax-ie2 1487  ax-8 1497  ax-4 1503  ax-17 1519  ax-i9 1523  ax-ial 1527  ax-ext 2152  ax-bd0 13808  ax-bdim 13809  ax-bdeq 13815
This theorem depends on definitions:  df-bi 116  df-sb 1756  df-clab 2157  df-cleq 2163  df-clel 2166  df-v 2732  df-bdc 13836
This theorem is referenced by:  bdcnulALT  13861
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