| 1. | Finally, every subcategory of a poset is isomorphism-closed.
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| 2. | This defines an infranatural isomorphism ( isomorphism for each object ).
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| 3. | This defines an infranatural isomorphism ( isomorphism for each object ).
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| 4. | This lack of isomorphism is the source of the apparent contradictions.
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| 5. | The inverse of a ring isomorphism is also a ring isomorphism.
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| 6. | The inverse of a ring isomorphism is also a ring isomorphism.
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| 7. | Its action on } } gives an isomorphism with S 3.
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| 8. | We claim; this isomorphism can be given an explicit form.
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| 9. | An order isomorphism can be characterized as a surjective order embedding.
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| 10. | To actually establish the concrete isomorphisms is more tedious than illuminating.
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