Murat Kasimov

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Я language (β)

/Я language (β)/Primitives/Sum/

: ( i `S` ii ) ~ ( Sum i ii )

Subtypes: Opted, Maybe, Stops, Boolean.

> This : i `AR_____` i `S` ii > That : ii `AR____` i `S` ii

Sum is a colimit of Arrow category:

`la` : a `AR` o `AR_____` aa `AR` o `AR____` a `S` aa `AR` o

Covariant Endo Functor from Arrow into Arrow (1/2 argument):

> `yoi` : Sum a _ `AR_______` a `AR` o `AR______` Sum o _

Covariant Endo Functor from Arrow into Arrow (2/2 argument):

> `yio` : Sum _ a `AR_______` a `AR` o `AR______` Sum _ o

Covariant Endo Functor from Kleisli Arrow into Kleisli Arrow (1/2 argument):

> `yoikl` : Sum a _ `AR_____` a `AR` tt o `AR______` tt ( Sum o _ )

Covariant Endo Functor from Kleisli Arrow into Kleisli Arrow (2/2 argument):

> `yiokl` : Sum _ a `AR_____` a `AR` tt o `AR______` tt ( Sum _ o )