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Theorem sbccsb2g 3165
Description: Substitution into a wff expressed in using substitution into a class. (Contributed by NM, 27-Nov-2005.)
Assertion
Ref Expression
sbccsb2g  [.  ].

Proof of Theorem sbccsb2g
StepHypRef Expression
1 abid 2341 . . 3
21sbcbii 3101 . 2  [.  ]. 
[.  ].
3 sbcel12g 3151 . . 3  [.  ].
4 csbvarg 3163 . . . 4
54eleq1d 2419 . . 3
63, 5bitrd 244 . 2  [.  ].
72, 6syl5bbr 250 1  [.  ].
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wcel 1710  cab 2339   [.wsbc 3046  csb 3136
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-v 2861  df-sbc 3047  df-csb 3137
This theorem is referenced by: (None)
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