Freyd cover
# Freyd cover

In the mathematical discipline of category theory, the Freyd cover or scone category is a construction that yields a set-like construction out of a given category. The only requirement is that the original category has a terminal object. The scone category inherits almost any categorical construct the original category has. Scones can be used to generally describe proofs that use logical relations.

## Definition

Formally, the scone of a category C with a terminal object 1 is the comma category $1_{\text{Set}}\downarrow \operatorname {Hom} _{C}(1,-)$.

