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Theorem ineq1i 3170
 Description: Equality inference for intersection of two classes. (Contributed by NM, 26-Dec-1993.)
Hypothesis
Ref Expression
ineq1i.1
Assertion
Ref Expression
ineq1i

Proof of Theorem ineq1i
StepHypRef Expression
1 ineq1i.1 . 2
2 ineq1 3167 . 2
31, 2ax-mp 7 1
 Colors of variables: wff set class Syntax hints:   wceq 1285   cin 2973 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-10 1437  ax-11 1438  ax-i12 1439  ax-bndl 1440  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2064 This theorem depends on definitions:  df-bi 115  df-tru 1288  df-nf 1391  df-sb 1687  df-clab 2069  df-cleq 2075  df-clel 2078  df-nfc 2209  df-v 2604  df-in 2980 This theorem is referenced by:  in12  3184  inindi  3190  dfrab2  3246  dfrab3  3247  disjpr2  3464  resres  4652  imainrect  4796  minmax  10250
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