Theorem dford3 4464

Description: Alias for df-iord 4463. Use it instead of df-iord 4463 for naming consistency with set.mm. (Contributed by Jim Kingdon, 10-Oct-2018.)

Assertion

Ref	Expression
dford3	|- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Distinct variable group:   x, A

Proof of Theorem dford3

Step	Hyp	Ref	Expression
1		df-iord 4463	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2510   Tr wtr 4187   Ord word 4459

This theorem depends on definitions:  df-iord 4463

This theorem is referenced by:  ordeq  4469  ordtr  4475  trssord  4477  ordelord  4478  ord0  4488  ordon  4584  ordsucim  4598  onintonm  4615  ordom  4705  exmidonfinlem  7403  pw1on  7443  bj-nnord  16553  bj-omord  16555