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Theorem dford3 4185
Description: Alias for df-iord 4184. Use it instead of df-iord 4184 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 4184 1  |-  ( Ord 
A  <->  ( Tr  A  /\  A. x  e.  A  Tr  x ) )
Colors of variables: wff set class
Syntax hints:    /\ wa 102    <-> wb 103   A.wral 2359   Tr wtr 3928   Ord word 4180
This theorem depends on definitions:  df-iord 4184
This theorem is referenced by:  ordeq  4190  ordtr  4196  trssord  4198  ordelord  4199  ord0  4209  ordon  4293  ordsucim  4307  onintonm  4324  ordom  4411  bj-nnord  11510  bj-omord  11512
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