Theorem bdcv 16744

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 16717	. 2 |- BOUNDED y e. x
2	1	bdelir 16743	1 |- BOUNDED x

Syntax hints:  BOUNDED wbdc 16736

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 1498  ax-bdel 16717

This theorem depends on definitions:  df-bi 117  df-bdc 16737

This theorem is referenced by:  bdvsn  16770  bdcsuc  16776  bdeqsuc  16777  bj-inex  16803  bj-nntrans  16847  bj-omtrans  16852  bj-inf2vn  16870  bj-omex2  16873  bj-nn0sucALT  16874