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Theorem rabbidva 2548
 Description: Equivalent wff's yield equal restricted class abstractions (deduction rule). (Contributed by NM, 28-Nov-2003.)
Hypothesis
Ref Expression
rabbidva.1
Assertion
Ref Expression
rabbidva
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem rabbidva
StepHypRef Expression
1 rabbidva.1 . . 3
21ralrimiva 2392 . 2
3 rabbi 2487 . 2
42, 3sylib 127 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 97   wb 98   wceq 1243   wcel 1393  wral 2306  crab 2310 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-ral 2311  df-rab 2315 This theorem is referenced by:  rabbidv  2549  rabeqbidva  2553  rabbi2dva  3145  rabxfrd  4201  onsucmin  4233  seinxp  4411  fniniseg2  5289  fnniniseg2  5290  f1oresrab  5329
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