ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  dford3 Unicode version

Theorem dford3 4257
Description: Alias for df-iord 4256. Use it instead of df-iord 4256 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 4256 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 2391   Tr wtr 3994   Ord word 4252
This theorem depends on definitions:  df-iord 4256
This theorem is referenced by:  ordeq  4262  ordtr  4268  trssord  4270  ordelord  4271  ord0  4281  ordon  4370  ordsucim  4384  onintonm  4401  ordom  4488  bj-nnord  12967  bj-omord  12969
  Copyright terms: Public domain W3C validator