{-| Module  : FiniteCategories
Description : An example of 'FullSubcategory' of __'FinCat'__.
Copyright   : Guillaume Sabbagh 2022
License     : GPL-3
Maintainer  : guillaumesabbagh@protonmail.com
Stability   : experimental
Portability : portable

An example of 'FullSubcategory' of __'FinCat'__.
-}
module Math.FiniteCategories.FinCat.Examples
(
    exampleFinCatNumbers,
)
where
    import Data.WeakSet.Safe
    
    import Math.Categories
    import Math.FiniteCategories
    import Math.FiniteCategory
    
    
    -- | The 'FullSubcategory' of __'FinCat'__ containing the number categories 0,1, and 2.
    exampleFinCatNumbers :: FullSubcategory (FinCat NumberCategory NumberCategoryMorphism numberCategoryObject) (FinFunctor NumberCategory NumberCategoryMorphism numberCategoryObject) NumberCategory
    exampleFinCatNumbers  = FullSubcategory FinCat (numberCategory <$> (set [0..2]))