Theorem dford3 4367

Description: Alias for df-iord 4366. Use it instead of df-iord 4366 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 4366	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2455   Tr wtr 4101   Ord word 4362

This theorem depends on definitions:  df-iord 4366

This theorem is referenced by:  ordeq  4372  ordtr  4378  trssord  4380  ordelord  4381  ord0  4391  ordon  4485  ordsucim  4499  onintonm  4516  ordom  4606  exmidonfinlem  7191  pw1on  7224  bj-nnord  14680  bj-omord  14682