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Theorem df1o2 6044
Description: Expanded value of the ordinal number 1. (Contributed by NM, 4-Nov-2002.)
Assertion
Ref Expression
df1o2  |-  1o  =  { (/) }

Proof of Theorem df1o2
StepHypRef Expression
1 df-1o 6032 . 2  |-  1o  =  suc  (/)
2 suc0 4176 . 2  |-  suc  (/)  =  { (/)
}
31, 2eqtri 2076 1  |-  1o  =  { (/) }
Colors of variables: wff set class
Syntax hints:    = wceq 1259   (/)c0 3252   {csn 3403   suc csuc 4130   1oc1o 6025
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-in1 554  ax-in2 555  ax-io 640  ax-5 1352  ax-7 1353  ax-gen 1354  ax-ie1 1398  ax-ie2 1399  ax-8 1411  ax-10 1412  ax-11 1413  ax-i12 1414  ax-bndl 1415  ax-4 1416  ax-17 1435  ax-i9 1439  ax-ial 1443  ax-i5r 1444  ax-ext 2038
This theorem depends on definitions:  df-bi 114  df-tru 1262  df-nf 1366  df-sb 1662  df-clab 2043  df-cleq 2049  df-clel 2052  df-nfc 2183  df-v 2576  df-dif 2948  df-un 2950  df-nul 3253  df-suc 4136  df-1o 6032
This theorem is referenced by:  df2o3  6045  df2o2  6046  1n0  6047  el1o  6051  dif1o  6052  ensn1  6307  en1  6310  xp1en  6328
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