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Theorem sbceq1g 3271
 Description: Move proper substitution to first argument of an equality. (Contributed by NM, 30-Nov-2005.)
Assertion
Ref Expression
sbceq1g
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem sbceq1g
StepHypRef Expression
1 sbceqg 3267 . 2
2 csbconstg 3265 . . 3
32eqeq2d 2447 . 2
41, 3bitrd 245 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wceq 1652   wcel 1725  wsbc 3161  csb 3251 This theorem is referenced by:  suppss2f  24049 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2423  df-cleq 2429  df-clel 2432  df-nfc 2561  df-v 2958  df-sbc 3162  df-csb 3252
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