Harder to do than I though but a dog/ball/toy helped.

Harder to do than I though but a dog/ball/toy helped.
a concept is a theory of a category.
a concept is a type of theory of a category
a category’s type of theory is a concept.
a category’s concept is a theory.
A concept is a category theory.
 
a ball is a toy of a dog.
a ball is a type of toy of a dog.
a dog’s type of toy is a ball.
a dog’s ball is a toy.
a ball is a dog toy.

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