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Theorem unssi 3246
 Description: An inference showing the union of two subclasses is a subclass. (Contributed by Raph Levien, 10-Dec-2002.)
Hypotheses
Ref Expression
unssi.1
unssi.2
Assertion
Ref Expression
unssi

Proof of Theorem unssi
StepHypRef Expression
1 unssi.1 . . 3
2 unssi.2 . . 3
31, 2pm3.2i 270 . 2
4 unss 3245 . 2
53, 4mpbi 144 1
 Colors of variables: wff set class Syntax hints:   wa 103   cun 3064   wss 3066 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2119 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2124  df-cleq 2130  df-clel 2133  df-nfc 2268  df-v 2683  df-un 3070  df-in 3072  df-ss 3079 This theorem is referenced by:  undifabs  3434  inundifss  3435  dmrnssfld  4797  caserel  6965  ltrelxr  7818  nn0ssre  8974  nn0ssz  9065  strleun  12037
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