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Theorem reximdv2 2723
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 1622 . 2
3 df-rex 2620 . 2
4 df-rex 2620 . 2
52, 3, 43imtr4g 261 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358  wex 1541   wcel 1710  wrex 2615
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616
This theorem depends on definitions:  df-bi 177  df-ex 1542  df-rex 2620
This theorem is referenced by:  ssrexv  3331
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