Theorem sbceq2g 3833

Description: Move proper substitution to second argument of an equality. (Contributed by NM, 30-Nov-2005.)

Assertion

Ref	Expression
sbceq2g

Distinct variable group:   ,

Proof of Theorem sbceq2g

Step	Hyp	Ref	Expression
1		sbceqg 3825	. 2
2		csbconstg 3447	. . 3
3	2	eqeq1d 2459	. 2
4	1, 3	bitrd 253	1

Syntax hints:  ->wi 4  <->wb 184  =wceq 1395  e.wcel 1818  [.wsbc 3327  [_csb 3434

This theorem is referenced by:  csbsng  4088  csbmpt12  4786  f1od2  27547  bj-snsetex  34521  cdlemkid3N  36659  cdlemkid4  36660

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