Theorem bdcv 11694

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 11667	. 2 |- BOUNDED y e. x
2	1	bdelir 11693	1 |- BOUNDED x

Syntax hints:  BOUNDED wbdc 11686

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-gen 1383  ax-bdel 11667

This theorem depends on definitions:  df-bi 115  df-bdc 11687

This theorem is referenced by:  bdvsn  11720  bdcsuc  11726  bdeqsuc  11727  bj-inex  11753  bj-nntrans  11801  bj-omtrans  11806  bj-inf2vn  11824  bj-omex2  11827  bj-nn0sucALT  11828