# Category:Successor Set of Ordinal is Ordinal

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This category contains pages concerning **Successor Set of Ordinal is Ordinal**:

Let $\On$ denote the class of all ordinals.

Let $\alpha \in \On$ be an ordinal.

Then its successor set $\alpha^+ = \alpha \cup \set \alpha$ is also an ordinal.

## Pages in category "Successor Set of Ordinal is Ordinal"

The following 3 pages are in this category, out of 3 total.