Theorem bdcv 14169

Description: A setvar is a bounded class. (Contributed by BJ, 3-Oct-2019.)

Assertion

Ref	Expression
bdcv	|- BOUNDED x

Proof of Theorem bdcv

Dummy variable y is distinct from all other variables.

Step	Hyp	Ref	Expression
1		ax-bdel 14142	. 2 |- BOUNDED y e. x
2	1	bdelir 14168	1 |- BOUNDED x

Syntax hints:  BOUNDED wbdc 14161

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-gen 1447  ax-bdel 14142

This theorem depends on definitions:  df-bi 117  df-bdc 14162

This theorem is referenced by:  bdvsn  14195  bdcsuc  14201  bdeqsuc  14202  bj-inex  14228  bj-nntrans  14272  bj-omtrans  14277  bj-inf2vn  14295  bj-omex2  14298  bj-nn0sucALT  14299