Theorem dford3 4507

Description: Alias for df-iord 4506. Use it instead of df-iord 4506 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 4506	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2528   Tr wtr 4224   Ord word 4502

This theorem depends on definitions:  df-iord 4506

This theorem is referenced by:  ordeq  4512  ordtr  4518  trssord  4520  ordelord  4521  ord0  4531  ordon  4628  ordsucim  4642  onintonm  4659  ordom  4749  exmidonfinlem  7535  pw1on  7575  bj-nnord  16898  bj-omord  16900