Theorem dford3 4403

Description: Alias for df-iord 4402. Use it instead of df-iord 4402 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 4402	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2475   Tr wtr 4132   Ord word 4398

This theorem depends on definitions:  df-iord 4402

This theorem is referenced by:  ordeq  4408  ordtr  4414  trssord  4416  ordelord  4417  ord0  4427  ordon  4523  ordsucim  4537  onintonm  4554  ordom  4644  exmidonfinlem  7272  pw1on  7309  bj-nnord  15688  bj-omord  15690