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Theorem reximdv2 2506
 Description: Deduction quantifying both antecedent and consequent, based on Theorem 19.22 of [Margaris] p. 90. (Contributed by NM, 17-Sep-2003.)
Hypothesis
Ref Expression
reximdv2.1
Assertion
Ref Expression
reximdv2
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()   ()

Proof of Theorem reximdv2
StepHypRef Expression
1 reximdv2.1 . . 3
21eximdv 1834 . 2
3 df-rex 2397 . 2
4 df-rex 2397 . 2
52, 3, 43imtr4g 204 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103  wex 1451   wcel 1463  wrex 2392 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1406  ax-gen 1408  ax-ie1 1452  ax-ie2 1453  ax-4 1470  ax-17 1489  ax-ial 1497 This theorem depends on definitions:  df-bi 116  df-rex 2397 This theorem is referenced by:  reximssdv  2511  ssrexv  3130  ssimaex  5448  ico0  9990  ioc0  9991  r19.2uz  10716  trilpolemlt1  13068
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