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Theorem ralrimivvva 2707
 Description: Inference from Theorem 19.21 of [Margaris] p. 90. (Restricted quantifier version with triple quantification.) (Contributed by Mario Carneiro, 9-Jul-2014.)
Hypothesis
Ref Expression
ralrimivvva.1
Assertion
Ref Expression
ralrimivvva
Distinct variable groups:   ,,,   ,,   ,
Allowed substitution hints:   (,,)   ()   (,)   (,,)

Proof of Theorem ralrimivvva
StepHypRef Expression
1 ralrimivvva.1 . . . . . 6
213exp2 1169 . . . . 5
32imp41 576 . . . 4
43ralrimiva 2697 . . 3
54ralrimiva 2697 . 2
65ralrimiva 2697 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 358   w3a 934   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-3an 936  df-ex 1542  df-nf 1545  df-ral 2619 This theorem is referenced by:  caovassg  5626  caovdig  5632  caovdirg  5633
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