Theorem dford3 4415

Description: Alias for df-iord 4414. Use it instead of df-iord 4414 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 4414	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2484   Tr wtr 4143   Ord word 4410

This theorem depends on definitions:  df-iord 4414

This theorem is referenced by:  ordeq  4420  ordtr  4426  trssord  4428  ordelord  4429  ord0  4439  ordon  4535  ordsucim  4549  onintonm  4566  ordom  4656  exmidonfinlem  7303  pw1on  7340  bj-nnord  15931  bj-omord  15933