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Theorem dfiun2 3732
 Description: Alternate definition of indexed union when is a set. Definition 15(a) of [Suppes] p. 44. (Contributed by NM, 27-Jun-1998.) (Revised by David Abernethy, 19-Jun-2012.)
Hypothesis
Ref Expression
dfiun2.1
Assertion
Ref Expression
dfiun2
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem dfiun2
StepHypRef Expression
1 dfiun2g 3730 . 2
2 dfiun2.1 . . 3
32a1i 9 . 2
41, 3mprg 2425 1
 Colors of variables: wff set class Syntax hints:   wceq 1285   wcel 1434  cab 2069  wrex 2354  cvv 2610  cuni 3621  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-uni 3622  df-iun 3700 This theorem is referenced by:  funcnvuni  5019  fun11iun  5198  tfrlem8  5987
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