Theorem bdcv 13883

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 13856	. 2 ⊢ BOUNDED 𝑦 ∈ 𝑥
2	1	bdelir 13882	1 ⊢ BOUNDED 𝑥

Syntax hints:  BOUNDED wbdc 13875

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 1442  ax-bdel 13856

This theorem depends on definitions:  df-bi 116  df-bdc 13876

This theorem is referenced by:  bdvsn  13909  bdcsuc  13915  bdeqsuc  13916  bj-inex  13942  bj-nntrans  13986  bj-omtrans  13991  bj-inf2vn  14009  bj-omex2  14012  bj-nn0sucALT  14013