Theorem bdcv 13730

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 13703	. 2 ⊢ BOUNDED 𝑦 ∈ 𝑥
2	1	bdelir 13729	1 ⊢ BOUNDED 𝑥

Syntax hints:  BOUNDED wbdc 13722

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 1437  ax-bdel 13703

This theorem depends on definitions:  df-bi 116  df-bdc 13723

This theorem is referenced by:  bdvsn  13756  bdcsuc  13762  bdeqsuc  13763  bj-inex  13789  bj-nntrans  13833  bj-omtrans  13838  bj-inf2vn  13856  bj-omex2  13859  bj-nn0sucALT  13860