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Theorem rspcsbela 3797
 Description: Special case related to rspsbc 3348. (Contributed by NM, 10-Dec-2005.) (Proof shortened by Eric Schmidt, 17-Jan-2007.)
Assertion
Ref Expression
rspcsbela
Distinct variable groups:   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem rspcsbela
StepHypRef Expression
1 rspsbc 3348 . . 3
2 sbcel1g 3778 . . 3
31, 2sylibd 218 . 2
43imp 431 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 371   wcel 1889  wral 2739  wsbc 3269  csb 3365 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1671  ax-4 1684  ax-5 1760  ax-6 1807  ax-7 1853  ax-10 1917  ax-11 1922  ax-12 1935  ax-13 2093  ax-ext 2433 This theorem depends on definitions:  df-bi 189  df-or 372  df-an 373  df-tru 1449  df-fal 1452  df-ex 1666  df-nf 1670  df-sb 1800  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2583  df-ral 2744  df-v 3049  df-sbc 3270  df-csb 3366  df-dif 3409  df-in 3413  df-ss 3420  df-nul 3734 This theorem is referenced by:  mptnn0fsupp  12216  mptnn0fsuppr  12218  fsumzcl2  13816  fsummsnunz  13827  fsumsplitsnun  13828  modfsummodslem1  13864  gsummpt1n0  17609  gsummptnn0fz  17627  telgsumfzslem  17630  telgsumfzs  17631  telgsums  17635  mptscmfsupp0  18165  coe1fzgsumdlem  18907  gsummoncoe1  18910  evl1gsumdlem  18956  madugsum  19680  iunmbl2  22522  gsumvsca1  28557  gsumvsca2  28558  esum2dlem  28925  esumiun  28927  iblsplitf  37857  fsummsndifre  39101  fsumsplitsndif  39102  fsummmodsndifre  39103  fsummmodsnunz  39104
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