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Theorem iineq2d 3718
 Description: Equality deduction for indexed intersection. (Contributed by NM, 7-Dec-2011.)
Hypotheses
Ref Expression
iineq2d.1
iineq2d.2
Assertion
Ref Expression
iineq2d

Proof of Theorem iineq2d
StepHypRef Expression
1 iineq2d.1 . . 3
2 iineq2d.2 . . . 4
32ex 113 . . 3
41, 3ralrimi 2437 . 2
5 iineq2 3715 . 2
64, 5syl 14 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 102   wceq 1285  wnf 1390   wcel 1434  wral 2353  ciin 3699 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-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-11 1438  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2065 This theorem depends on definitions:  df-bi 115  df-tru 1288  df-nf 1391  df-sb 1688  df-clab 2070  df-cleq 2076  df-clel 2079  df-ral 2358  df-iin 3701 This theorem is referenced by:  iineq2dv  3720
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