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Theorem reximdv2 2435
 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 1776 . 2
3 df-rex 2329 . 2
4 df-rex 2329 . 2
52, 3, 43imtr4g 198 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 101  wex 1397   wcel 1409  wrex 2324 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-5 1352  ax-gen 1354  ax-ie1 1398  ax-ie2 1399  ax-4 1416  ax-17 1435  ax-ial 1443 This theorem depends on definitions:  df-bi 114  df-rex 2329 This theorem is referenced by:  ssrexv  3033  ssimaex  5262  ico0  9218  ioc0  9219  r19.2uz  9820
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