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Theorem rexlimdvv 2433
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 246 . . 3
32rexlimdv 2426 . 2
43rexlimdva 2427 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wcel 1390  wrex 2301
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-ie1 1379  ax-ie2 1380  ax-4 1397  ax-17 1416  ax-ial 1424  ax-i5r 1425
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-ral 2305  df-rex 2306
This theorem is referenced by:  rexlimdvva  2434  f1oiso2  5409  xpdom2  6241  genpcdl  6502  genpcuu  6503  distrlem1prl  6558  distrlem1pru  6559  distrlem5prl  6562  distrlem5pru  6563  recexprlemss1l  6607  recexprlemss1u  6608  qaddcl  8346  qmulcl  8348
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