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Theorem sbceq1g 3830
Description: Move proper substitution to first argument of an equality. (Contributed by NM, 30-Nov-2005.)
Assertion
Ref Expression
sbceq1g
Distinct variable group:   ,

Proof of Theorem sbceq1g
StepHypRef Expression
1 sbceqg 3825 . 2
2 csbconstg 3447 . . 3
32eqeq2d 2471 . 2
41, 3bitrd 253 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  =wceq 1395  e.wcel 1818  [.wsbc 3327  [_csb 3434
This theorem is referenced by:  telgsums  17022  suppss2f  27477  f1od2  27547
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
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