Theorem dford3 4493

Description: Alias for df-iord 4492. Use it instead of df-iord 4492 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 4492	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2522   Tr wtr 4213   Ord word 4488

This theorem depends on definitions:  df-iord 4492

This theorem is referenced by:  ordeq  4498  ordtr  4504  trssord  4506  ordelord  4507  ord0  4517  ordon  4613  ordsucim  4627  onintonm  4644  ordom  4734  exmidonfinlem  7509  pw1on  7549  bj-nnord  16854  bj-omord  16856