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Theorem orduniss 4243
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 4196 . 2 (Ord 𝐴 → Tr 𝐴)
2 df-tr 3929 . 2 (Tr 𝐴 𝐴𝐴)
31, 2sylib 120 1 (Ord 𝐴 𝐴𝐴)
Colors of variables: wff set class
Syntax hints:  wi 4  wss 2997   cuni 3648  Tr wtr 3928  Ord word 4180
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104
This theorem depends on definitions:  df-bi 115  df-tr 3929  df-iord 4184
This theorem is referenced by:  ordunisuc2r  4321  limom  4418
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