Theorem bdcv 15784

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 15757	. 2 |- BOUNDED y e. x
2	1	bdelir 15783	1 |- BOUNDED x

Syntax hints:  BOUNDED wbdc 15776

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 1472  ax-bdel 15757

This theorem depends on definitions:  df-bi 117  df-bdc 15777

This theorem is referenced by:  bdvsn  15810  bdcsuc  15816  bdeqsuc  15817  bj-inex  15843  bj-nntrans  15887  bj-omtrans  15892  bj-inf2vn  15910  bj-omex2  15913  bj-nn0sucALT  15914