Theorem dford3 4470

Description: Alias for df-iord 4469. Use it instead of df-iord 4469 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 4469	1 |- ( Ord A <-> ( Tr A /\ A. x e. A Tr x ) )

Syntax hints:   /\ wa 104   <-> wb 105   A.wral 2511   Tr wtr 4192   Ord word 4465

This theorem depends on definitions:  df-iord 4469

This theorem is referenced by:  ordeq  4475  ordtr  4481  trssord  4483  ordelord  4484  ord0  4494  ordon  4590  ordsucim  4604  onintonm  4621  ordom  4711  exmidonfinlem  7464  pw1on  7504  bj-nnord  16674  bj-omord  16676