Theorem dford3 4432

Description: Alias for df-iord 4431. Use it instead of df-iord 4431 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 4431	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2486   Tr wtr 4158   Ord word 4427

This theorem depends on definitions:  df-iord 4431

This theorem is referenced by:  ordeq  4437  ordtr  4443  trssord  4445  ordelord  4446  ord0  4456  ordon  4552  ordsucim  4566  onintonm  4583  ordom  4673  exmidonfinlem  7332  pw1on  7372  bj-nnord  16093  bj-omord  16095