Theorem sbccsb2gOLD 3852

Description: Substitution into a wff expressed in using substitution into a class. (Contributed by NM, 27-Nov-2005.) Obsolete as of 18-Aug-2018. Use sbccsb2 3851 instead. (New usage is discouraged.) (Proof modification is discouraged.)

Assertion

Ref	Expression
sbccsb2gOLD

Proof of Theorem sbccsb2gOLD

Step	Hyp	Ref	Expression
1		abid 2444	. . 3
2	1	sbcbii 3387	. 2
3		sbcel12gOLD 3824	. . 3
4		csbvarg 3848	. . . 4
5	4	eleq1d 2526	. . 3
6	3, 5	bitrd 253	. 2
7	2, 6	syl5bbr 259	1

Syntax hints:  ->wi 4  <->wb 184  e.wcel 1818  {cab 2442  [.wsbc 3327  [_csb 3434

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-v 3111  df-sbc 3328  df-csb 3435