Elements of Minimal Infinite Successor Set are Well-Ordered
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This theorem requires a proof..
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Theorem
Let $\omega$ be the minimal infinite successor set.
Let $a \in \omega$.
Then $a$ is well-ordered by $\subseteq$.
Proof
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Sources
- 1960: Paul R. Halmos: Naive Set Theory ... (previous) ... (next): $\S 17$: Well Ordering
