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Theorem ssmin 3713
 Description: Subclass of the minimum value of class of supersets. (Contributed by NM, 10-Aug-2006.)
Assertion
Ref Expression
ssmin
Distinct variable group:   ,
Allowed substitution hint:   ()

Proof of Theorem ssmin
StepHypRef Expression
1 ssintab 3711 . 2
2 simpl 108 . 2
31, 2mpgbir 1388 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103  cab 2075   wss 3000  cint 3694 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 666  ax-5 1382  ax-7 1383  ax-gen 1384  ax-ie1 1428  ax-ie2 1429  ax-8 1441  ax-10 1442  ax-11 1443  ax-i12 1444  ax-bndl 1445  ax-4 1446  ax-17 1465  ax-i9 1469  ax-ial 1473  ax-i5r 1474  ax-ext 2071 This theorem depends on definitions:  df-bi 116  df-tru 1293  df-nf 1396  df-sb 1694  df-clab 2076  df-cleq 2082  df-clel 2085  df-nfc 2218  df-ral 2365  df-v 2622  df-in 3006  df-ss 3013  df-int 3695 This theorem is referenced by: (None)
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