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Theorem bdel 9280
Description: The belonging of a setvar in a bounded class is a bounded formula. (Contributed by BJ, 3-Oct-2019.)
Assertion
Ref Expression
bdel BOUNDED BOUNDED
Distinct variable group:   ,

Proof of Theorem bdel
StepHypRef Expression
1 df-bdc 9276 . 2 BOUNDED BOUNDED
2 sp 1398 . 2 BOUNDED BOUNDED
31, 2sylbi 114 1 BOUNDED BOUNDED
Colors of variables: wff set class
Syntax hints:   wi 4  wal 1240   wcel 1390  BOUNDED wbd 9247  BOUNDED wbdc 9275
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-4 1397
This theorem depends on definitions:  df-bi 110  df-bdc 9276
This theorem is referenced by:  bdeli  9281
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