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Theorem dford3 4352
Description: Alias for df-iord 4351. Use it instead of df-iord 4351 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
StepHypRef Expression
1 df-iord 4351 1  |-  ( Ord 
A  <->  ( Tr  A  /\  A. x  e.  A  Tr  x ) )
Colors of variables: wff set class
Syntax hints:    /\ wa 103    <-> wb 104   A.wral 2448   Tr wtr 4087   Ord word 4347
This theorem depends on definitions:  df-iord 4351
This theorem is referenced by:  ordeq  4357  ordtr  4363  trssord  4365  ordelord  4366  ord0  4376  ordon  4470  ordsucim  4484  onintonm  4501  ordom  4591  exmidonfinlem  7170  pw1on  7203  bj-nnord  13993  bj-omord  13995
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