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Theorem ralrimivv 2394
Description: Inference from Theorem 19.21 of [Margaris] p. 90. (Restricted quantifier version with double quantification.) (Contributed by NM, 24-Jul-2004.)
Hypothesis
Ref Expression
ralrimivv.1
Assertion
Ref Expression
ralrimivv
Distinct variable groups:   ,,   ,
Allowed substitution hints:   (,)   ()   (,)

Proof of Theorem ralrimivv
StepHypRef Expression
1 ralrimivv.1 . . . 4
21expd 245 . . 3
32ralrimdv 2392 . 2
43ralrimiv 2385 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wcel 1390  wral 2300
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-4 1397  ax-17 1416
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-ral 2305
This theorem is referenced by:  ralrimivva  2395  ralrimdvv  2397  reuind  2738  ssrel2  4373  f1o2ndf1  5791  smoiso  5858  receuap  7432
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