day ::IOProofhaskell.day
01 / Morning Lambda
A small lambda begins the light.
Pure functions cast measured shadows. A value enters as x, waits in theorem-space, then turns toward dawn.
λx . x
identity :: a -> a
02 / Noon Composition
Composition makes noon from smaller mornings.
Layered panes receive a value, refract it through functions, and return a brighter expression without breaking purity.
->
.
->
Functor => Applicative => Monad
03 / Evening Laziness
A value waits until observed.
The infinite list is not a road but a promise: dusk writes only the cells that attention demands.
where
stream = 1 : map (+1) stream
.
04 / Midnight Monad
The whole day folds into bind.
Gold sparks quiet down. Violet glass becomes ink. The final expression is not an ending, but a lawful way to continue.
>>=
=
“A quiet proof, evaluated by the shape of the day.”