Theorem bdcv 16379

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 16352	. 2 |- BOUNDED y e. x
2	1	bdelir 16378	1 |- BOUNDED x

Syntax hints:  BOUNDED wbdc 16371

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 1495  ax-bdel 16352

This theorem depends on definitions:  df-bi 117  df-bdc 16372

This theorem is referenced by:  bdvsn  16405  bdcsuc  16411  bdeqsuc  16412  bj-inex  16438  bj-nntrans  16482  bj-omtrans  16487  bj-inf2vn  16505  bj-omex2  16508  bj-nn0sucALT  16509