Theorem bdcv 16393

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 16366	. 2 ⊢ BOUNDED 𝑦 ∈ 𝑥
2	1	bdelir 16392	1 ⊢ BOUNDED 𝑥

Syntax hints:  BOUNDED wbdc 16385

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 1495  ax-bdel 16366

This theorem depends on definitions:  df-bi 117  df-bdc 16386

This theorem is referenced by:  bdvsn  16419  bdcsuc  16425  bdeqsuc  16426  bj-inex  16452  bj-nntrans  16496  bj-omtrans  16501  bj-inf2vn  16519  bj-omex2  16522  bj-nn0sucALT  16523