Theorem dford3 4379

Description: Alias for df-iord 4378. Use it instead of df-iord 4378 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 4378	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2465   Tr wtr 4113   Ord word 4374

This theorem depends on definitions:  df-iord 4378

This theorem is referenced by:  ordeq  4384  ordtr  4390  trssord  4392  ordelord  4393  ord0  4403  ordon  4497  ordsucim  4511  onintonm  4528  ordom  4618  exmidonfinlem  7206  pw1on  7239  bj-nnord  15063  bj-omord  15065