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Theorem dford3 4259
Description: Alias for df-iord 4258. Use it instead of df-iord 4258 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 4258 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 2393   Tr wtr 3996   Ord word 4254
This theorem depends on definitions:  df-iord 4258
This theorem is referenced by:  ordeq  4264  ordtr  4270  trssord  4272  ordelord  4273  ord0  4283  ordon  4372  ordsucim  4386  onintonm  4403  ordom  4490  exmidonfinlem  7017  bj-nnord  13083  bj-omord  13085
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