Theorem dford3 4327

Description: Alias for df-iord 4326. Use it instead of df-iord 4326 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 4326	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 103   <-> wb 104   A.wral 2435   Tr wtr 4062   Ord word 4322

This theorem depends on definitions:  df-iord 4326

This theorem is referenced by:  ordeq  4332  ordtr  4338  trssord  4340  ordelord  4341  ord0  4351  ordon  4445  ordsucim  4459  onintonm  4476  ordom  4566  exmidonfinlem  7128  pw1on  7161  bj-nnord  13533  bj-omord  13535