Theorem dford3 4458

Description: Alias for df-iord 4457. Use it instead of df-iord 4457 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 4457	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2508   Tr wtr 4182   Ord word 4453

This theorem depends on definitions:  df-iord 4457

This theorem is referenced by:  ordeq  4463  ordtr  4469  trssord  4471  ordelord  4472  ord0  4482  ordon  4578  ordsucim  4592  onintonm  4609  ordom  4699  exmidonfinlem  7371  pw1on  7411  bj-nnord  16321  bj-omord  16323