Theorem dford3 4462

Description: Alias for df-iord 4461. Use it instead of df-iord 4461 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 4461	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2508   Tr wtr 4185   Ord word 4457

This theorem depends on definitions:  df-iord 4461

This theorem is referenced by:  ordeq  4467  ordtr  4473  trssord  4475  ordelord  4476  ord0  4486  ordon  4582  ordsucim  4596  onintonm  4613  ordom  4703  exmidonfinlem  7394  pw1on  7434  bj-nnord  16489  bj-omord  16491