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Theorem ordfr 4607
Description: Epsilon is well-founded on an ordinal class. (Contributed by NM, 22-Apr-1994.)
Assertion
Ref Expression
ordfr (Ord 𝐴 → E Fr 𝐴)

Proof of Theorem ordfr
StepHypRef Expression
1 zfregfr 4606 . 2 E Fr 𝐴
21a1i 9 1 (Ord 𝐴 → E Fr 𝐴)
Colors of variables: wff set class
Syntax hints:  wi 4   E cep 4318   Fr wfr 4359  Ord word 4393
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710  ax-5 1458  ax-7 1459  ax-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-8 1515  ax-10 1516  ax-11 1517  ax-i12 1518  ax-bndl 1520  ax-4 1521  ax-17 1537  ax-i9 1541  ax-ial 1545  ax-i5r 1546  ax-14 2167  ax-ext 2175  ax-sep 4147  ax-pow 4203  ax-pr 4238  ax-setind 4569
This theorem depends on definitions:  df-bi 117  df-3an 982  df-tru 1367  df-nf 1472  df-sb 1774  df-eu 2045  df-mo 2046  df-clab 2180  df-cleq 2186  df-clel 2189  df-nfc 2325  df-ral 2477  df-v 2762  df-un 3157  df-in 3159  df-ss 3166  df-pw 3603  df-sn 3624  df-pr 3625  df-op 3627  df-br 4030  df-opab 4091  df-eprel 4320  df-frfor 4362  df-frind 4363
This theorem is referenced by:  ordwe  4608
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