Theorem bdcv 17040

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 17013	. 2 |- BOUNDED y e. x
2	1	bdelir 17039	1 |- BOUNDED x

This proof depends on syntax axioms:  BOUNDED wbdc 17032

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-gen 1502  ax-bdel 17013

This proof depends on definitions:  df-bi 117  df-bdc 17033

This theorem is used by:  bdvsn  17066  bdcsuc  17072  bdeqsuc  17073  bj-inex  17099  bj-nntrans  17143  bj-omtrans  17148  bj-inf2vn  17166  bj-omex2  17169  bj-nn0sucALT  17170