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Theorem rexim 2922
Description: Theorem 19.22 of [Margaris] p. 90. (Restricted quantifier version.) (Contributed by NM, 22-Nov-1994.) (Proof shortened by Andrew Salmon, 30-May-2011.)
Assertion
Ref Expression
rexim

Proof of Theorem rexim
StepHypRef Expression
1 con3 134 . . . 4
21ral2imi 2845 . . 3
32con3d 133 . 2
4 dfrex2 2908 . 2
5 dfrex2 2908 . 2
63, 4, 53imtr4g 270 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  A.wral 2807  E.wrex 2808
This theorem is referenced by:  reximia  2923  reximdai  2926  reximdvai  2929  r19.29  2992  reupick2  3783  ss2iun  4346  chfnrn  5998  isf32lem2  8755  ptcmplem4  20555  bnj110  33916
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-ral 2812  df-rex 2813
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