Theorem dford3 4289

Description: Alias for df-iord 4288. Use it instead of df-iord 4288 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 4288	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 103   <-> wb 104   A.wral 2416   Tr wtr 4026   Ord word 4284

This theorem depends on definitions:  df-iord 4288

This theorem is referenced by:  ordeq  4294  ordtr  4300  trssord  4302  ordelord  4303  ord0  4313  ordon  4402  ordsucim  4416  onintonm  4433  ordom  4520  exmidonfinlem  7049  bj-nnord  13156  bj-omord  13158