Theorem dford3 4104

Description: Alias for df-iord 4103. Use it instead of df-iord 4103 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 4103	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 97   <-> wb 98   A.wral 2306   Tr wtr 3854   Ord word 4099

This theorem depends on definitions:  df-iord 4103

This theorem is referenced by:  ordeq  4109  ordtr  4115  trssord  4117  ordelord  4118  ord0  4128  ordon  4212  ordsucim  4226  onintonm  4243  ordom  4329  bj-nnord  10083  bj-omord  10085