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Theorem iuneq2i 3716
 Description: Equality inference for indexed union. (Contributed by NM, 22-Oct-2003.)
Hypothesis
Ref Expression
iuneq2i.1
Assertion
Ref Expression
iuneq2i

Proof of Theorem iuneq2i
StepHypRef Expression
1 iuneq2 3714 . 2
2 iuneq2i.1 . 2
31, 2mprg 2425 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1285   wcel 1434  ciun 3698 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 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-nfc 2212  df-ral 2358  df-rex 2359  df-v 2612  df-in 2988  df-ss 2995  df-iun 3700 This theorem is referenced by:  dfiunv2  3734  iunrab  3745  iunid  3753  iunin1  3762  2iunin  3764  resiun1  4678  resiun2  4679  dfimafn2  5275  dfmpt  5392  rdgival  6051  uniqs  6251
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