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Theorem sbceq1a 2767
Description: Equality theorem for class substitution. Class version of sbequ12 1651. (Contributed by NM, 26-Sep-2003.)
Assertion
Ref Expression
sbceq1a 
[.  ].

Proof of Theorem sbceq1a
StepHypRef Expression
1 sbid 1654 . 2
2 dfsbcq2 2761 . 2  [.  ].
31, 2syl5bbr 183 1 
[.  ].
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98   wceq 1242  wsb 1642   [.wsbc 2758
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-sbc 2759
This theorem is referenced by:  sbceq2a  2768  elrabsf  2795  cbvralcsf  2902  cbvrexcsf  2903  euotd  3982  ralrnmpt  5252  rexrnmpt  5253  riotass2  5437  riotass  5438  sbcopeq1a  5755  mpt2xopoveq  5796  indpi  6326  nn0ind-raph  8131  indstr  8312  fzrevral  8737  bj-intabssel  9263  bj-bdfindes  9409  bj-findes  9441
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