Theorem bdcv 15410

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 15383	. 2 |- BOUNDED y e. x
2	1	bdelir 15409	1 |- BOUNDED x

Syntax hints:  BOUNDED wbdc 15402

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 1460  ax-bdel 15383

This theorem depends on definitions:  df-bi 117  df-bdc 15403

This theorem is referenced by:  bdvsn  15436  bdcsuc  15442  bdeqsuc  15443  bj-inex  15469  bj-nntrans  15513  bj-omtrans  15518  bj-inf2vn  15536  bj-omex2  15539  bj-nn0sucALT  15540