Theorem bdcv 13046

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 13019	. 2 ⊢ BOUNDED 𝑦 ∈ 𝑥
2	1	bdelir 13045	1 ⊢ BOUNDED 𝑥

Syntax hints:  BOUNDED wbdc 13038

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-gen 1425  ax-bdel 13019

This theorem depends on definitions:  df-bi 116  df-bdc 13039

This theorem is referenced by:  bdvsn  13072  bdcsuc  13078  bdeqsuc  13079  bj-inex  13105  bj-nntrans  13149  bj-omtrans  13154  bj-inf2vn  13172  bj-omex2  13175  bj-nn0sucALT  13176