Theorem dford3 4490

Description: Alias for df-iord 4489. Use it instead of df-iord 4489 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 4489	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2522   Tr wtr 4210   Ord word 4485

This theorem depends on definitions:  df-iord 4489

This theorem is referenced by:  ordeq  4495  ordtr  4501  trssord  4503  ordelord  4504  ord0  4514  ordon  4610  ordsucim  4624  onintonm  4641  ordom  4731  exmidonfinlem  7498  pw1on  7538  bj-nnord  16745  bj-omord  16747