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Theorem djueq1 6932
 Description: Equality theorem for disjoint union. (Contributed by Jim Kingdon, 23-Jun-2022.)
Assertion
Ref Expression
djueq1

Proof of Theorem djueq1
StepHypRef Expression
1 eqid 2140 . 2
2 djueq12 6931 . 2
31, 2mpan2 422 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1332   ⊔ cdju 6929 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 3079  df-opab 3997  df-xp 4552  df-dju 6930 This theorem is referenced by:  enumct  7007  ctssexmid  7031  ctiunctal  11988  unct  11989  subctctexmid  13367  sbthom  13394
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