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Theorem csbeq2dv 2875
 Description: Formula-building deduction rule for class substitution. (Contributed by NM, 10-Nov-2005.) (Revised by Mario Carneiro, 1-Sep-2015.)
Hypothesis
Ref Expression
csbeq2dv.1
Assertion
Ref Expression
csbeq2dv
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem csbeq2dv
StepHypRef Expression
1 nfv 1421 . 2
2 csbeq2dv.1 . 2
31, 2csbeq2d 2874 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1243  csb 2852 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 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-11 1397  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-sbc 2765  df-csb 2853 This theorem is referenced by:  csbeq2i  2876  mpt2mptsx  5823  dmmpt2ssx  5825  fmpt2x  5826  fmpt2co  5837
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