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Theorem dford3 4132
Description: Alias for df-iord 4131. Use it instead of df-iord 4131 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 4131 1  |-  ( Ord 
A  <->  ( Tr  A  /\  A. x  e.  A  Tr  x ) )
Colors of variables: wff set class
Syntax hints:    /\ wa 101    <-> wb 102   A.wral 2323   Tr wtr 3882   Ord word 4127
This theorem depends on definitions:  df-iord 4131
This theorem is referenced by:  ordeq  4137  ordtr  4143  trssord  4145  ordelord  4146  ord0  4156  ordon  4240  ordsucim  4254  onintonm  4271  ordom  4357  bj-nnord  10470  bj-omord  10472
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