Theorem dford3 4297

Description: Alias for df-iord 4296. Use it instead of df-iord 4296 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 4296	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 103   <-> wb 104   A.wral 2417   Tr wtr 4034   Ord word 4292

This theorem depends on definitions:  df-iord 4296

This theorem is referenced by:  ordeq  4302  ordtr  4308  trssord  4310  ordelord  4311  ord0  4321  ordon  4410  ordsucim  4424  onintonm  4441  ordom  4528  exmidonfinlem  7066  bj-nnord  13327  bj-omord  13329