Theorem dford3 4398

Description: Alias for df-iord 4397. Use it instead of df-iord 4397 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 4397	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2472   Tr wtr 4127   Ord word 4393

This theorem depends on definitions:  df-iord 4397

This theorem is referenced by:  ordeq  4403  ordtr  4409  trssord  4411  ordelord  4412  ord0  4422  ordon  4518  ordsucim  4532  onintonm  4549  ordom  4639  exmidonfinlem  7253  pw1on  7286  bj-nnord  15450  bj-omord  15452