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Theorem orduniss 4385
Description: An ordinal class includes its union. (Contributed by NM, 13-Sep-2003.)
Assertion
Ref Expression
orduniss (Ord 𝐴 𝐴𝐴)

Proof of Theorem orduniss
StepHypRef Expression
1 ordtr 4338 . 2 (Ord 𝐴 → Tr 𝐴)
2 df-tr 4063 . 2 (Tr 𝐴 𝐴𝐴)
31, 2sylib 121 1 (Ord 𝐴 𝐴𝐴)
Colors of variables: wff set class
Syntax hints:  wi 4  wss 3102   cuni 3772  Tr wtr 4062  Ord word 4322
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105
This theorem depends on definitions:  df-bi 116  df-tr 4063  df-iord 4326
This theorem is referenced by:  ordunisuc2r  4472  limom  4572
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