Theorem bdcv 16874

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 16847	. 2 |- BOUNDED y e. x
2	1	bdelir 16873	1 |- BOUNDED x

This proof depends on syntax axioms:  BOUNDED wbdc 16866

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 16847

This proof depends on definitions:  df-bi 117  df-bdc 16867

This theorem is used by:  bdvsn  16900  bdcsuc  16906  bdeqsuc  16907  bj-inex  16933  bj-nntrans  16977  bj-omtrans  16982  bj-inf2vn  17000  bj-omex2  17003  bj-nn0sucALT  17004