Theorem dford3 4488

Description: Alias for df-iord 4487. Use it instead of df-iord 4487 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 4487	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2520   Tr wtr 4208   Ord word 4483

This theorem depends on definitions:  df-iord 4487

This theorem is referenced by:  ordeq  4493  ordtr  4499  trssord  4501  ordelord  4502  ord0  4512  ordon  4608  ordsucim  4622  onintonm  4639  ordom  4729  exmidonfinlem  7496  pw1on  7536  bj-nnord  16728  bj-omord  16730