Theorem bdcv 10639

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 10612	. 2 ⊢ BOUNDED 𝑦 ∈ 𝑥
2	1	bdelir 10638	1 ⊢ BOUNDED 𝑥

Syntax hints:  BOUNDED wbdc 10631

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-gen 1378  ax-bdel 10612

This theorem depends on definitions:  df-bi 115  df-bdc 10632

This theorem is referenced by:  bdvsn  10665  bdcsuc  10671  bdeqsuc  10672  bj-inex  10698  bj-nntrans  10746  bj-omtrans  10751  bj-inf2vn  10769  bj-omex2  10772  bj-nn0sucALT  10773