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Theorem uneq2i 3232
 Description: Inference adding union to the left in a class equality. (Contributed by NM, 30-Aug-1993.)
Hypothesis
Ref Expression
uneq1i.1
Assertion
Ref Expression
uneq2i

Proof of Theorem uneq2i
StepHypRef Expression
1 uneq1i.1 . 2
2 uneq2 3229 . 2
31, 2ax-mp 5 1
 Colors of variables: wff set class Syntax hints:   wceq 1332   cun 3074 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 699  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1483  ax-10 1484  ax-11 1485  ax-i12 1486  ax-bndl 1487  ax-4 1488  ax-17 1507  ax-i9 1511  ax-ial 1515  ax-i5r 1516  ax-ext 2122 This theorem depends on definitions:  df-bi 116  df-tru 1335  df-nf 1438  df-sb 1737  df-clab 2127  df-cleq 2133  df-clel 2136  df-nfc 2271  df-v 2691  df-un 3080 This theorem is referenced by:  un4  3241  unundir  3243  difun2  3447  difdifdirss  3452  qdass  3628  qdassr  3629  unisuc  4343  iunsuc  4350  fmptap  5618  fvsnun1  5625  rdgival  6287  rdg0  6292  undifdc  6820  exmidfodomrlemim  7075  djuassen  7091  facnn  10506  fac0  10507  fsum2dlemstep  11236  fsumiun  11279
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