Theorem dford3 4368

Description: Alias for df-iord 4367. Use it instead of df-iord 4367 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 4367	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2455   Tr wtr 4102   Ord word 4363

This theorem depends on definitions:  df-iord 4367

This theorem is referenced by:  ordeq  4373  ordtr  4379  trssord  4381  ordelord  4382  ord0  4392  ordon  4486  ordsucim  4500  onintonm  4517  ordom  4607  exmidonfinlem  7192  pw1on  7225  bj-nnord  14713  bj-omord  14715