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Theorem rexlimdvv 2554
 Description: Inference from Theorem 19.23 of [Margaris] p. 90. (Restricted quantifier version.) (Contributed by NM, 22-Jul-2004.)
Hypothesis
Ref Expression
rexlimdvv.1
Assertion
Ref Expression
rexlimdvv
Distinct variable groups:   ,,   ,,   ,
Allowed substitution hints:   (,)   ()   (,)

Proof of Theorem rexlimdvv
StepHypRef Expression
1 rexlimdvv.1 . . . 4
21expdimp 257 . . 3
32rexlimdv 2546 . 2
43rexlimdva 2547 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103   wcel 1480  wrex 2415 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1423  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-4 1487  ax-17 1506  ax-ial 1514  ax-i5r 1515 This theorem depends on definitions:  df-bi 116  df-nf 1437  df-ral 2419  df-rex 2420 This theorem is referenced by:  rexlimdvva  2555  f1oiso2  5721  xpdom2  6718  genpcdl  7320  genpcuu  7321  distrlem1prl  7383  distrlem1pru  7384  distrlem5prl  7387  distrlem5pru  7388  recexprlemss1l  7436  recexprlemss1u  7437  qaddcl  9420  qmulcl  9422  summodc  11145  dvdsgcd  11689  gcddiv  11696  txcnp  12429  blssps  12585  blss  12586  tgqioo  12705
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