| 11. | It follows that immersed submanifolds are precisely the images of injective immersions.
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| 12. | Every object in a Grothendieck category has an injective hull.
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| 13. | An immediate corollary is that an injective cellular automaton must be surjective.
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| 14. | The space of injective maps is invariant and acts freely on it.
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| 15. | A torsionless module is one for which the canonical homomorphism is injective.
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| 16. | Dedekind finite naturally means that every injective self-map is also surjective.
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| 17. | A function with a left inverse is necessarily injective.
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| 18. | A partial function may be both injective and surjective.
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| 19. | An operator may be injective, even bounded below, but not invertible.
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| 20. | Such a functor is necessarily injective on objects up-to-isomorphism.
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