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Theorem ralrimdvva 2709
Description: Inference from Theorem 19.21 of [Margaris] p. 90. (Restricted quantifier version with double quantification.) (Contributed by NM, 2-Feb-2008.)
Hypothesis
Ref Expression
ralrimdvva.1
Assertion
Ref Expression
ralrimdvva
Distinct variable groups:   ,,   ,,   ,
Allowed substitution hints:   (,)   ()   (,)

Proof of Theorem ralrimdvva
StepHypRef Expression
1 ralrimdvva.1 . . . 4
21ex 423 . . 3
32com23 72 . 2
43ralrimdvv 2708 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   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  ax-9 1654  ax-8 1675  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545  df-ral 2619
This theorem is referenced by: (None)
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