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Theorem dfin5 2919
Description: Alternate definition for the intersection of two classes. (Contributed by NM, 6-Jul-2005.)
Assertion
Ref Expression
dfin5  i^i  {  |  }
Distinct variable groups:   ,   ,

Proof of Theorem dfin5
StepHypRef Expression
1 df-in 2918 . 2  i^i  {  |  }
2 df-rab 2309 . 2  {  |  }  {  |  }
31, 2eqtr4i 2060 1  i^i  {  |  }
Colors of variables: wff set class
Syntax hints:   wa 97   wceq 1242   wcel 1390   {cab 2023   {crab 2304    i^i cin 2910
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  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-cleq 2030  df-rab 2309  df-in 2918
This theorem is referenced by:  nfin  3137  rabbi2dva  3139  bj-inex  9362
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