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Theorem ralimdv2 2694
Description: Inference quantifying both antecedent and consequent. (Contributed by NM, 1-Feb-2005.)
Hypothesis
Ref Expression
ralimdv2.1
Assertion
Ref Expression
ralimdv2
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()   ()

Proof of Theorem ralimdv2
StepHypRef Expression
1 ralimdv2.1 . . 3
21alimdv 1621 . 2
3 df-ral 2619 . 2
4 df-ral 2619 . 2
52, 3, 43imtr4g 261 1
Colors of variables: wff setvar class
Syntax hints:   wi 4  wal 1540   wcel 1710  wral 2614
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-ral 2619
This theorem is referenced by:  ssralv  3330
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