Îõ³h& Û b      Safe-Inferred2ÁÃÉ×Ü H day-comonoid)Comonoid with respect to Day convolution.Laws- must satisfy the following equations. Here, erase1 and erase2 are defined using  method inherited from .   .  = id   .  = id   .  =  .   .   Furthermore,  derived from coapply must be equivalent to  inherited from .  =  . coapply =  ExamplesEnv comonad, or (,) e, is an instance of Comonoid. ³instance Comonoid ((,) e) where coapply :: forall x. (e, x) -> Day ((,) e) ((,) e) x -- ~ forall x. (e,x) -> ƒDb c. ((e,b), (e,c), b -> c -> x) -- ~ forall x. (e,x) -> (e,e, ƒDb c.(b, c, b -> c -> x)) -- ~ forall x. (e,x) -> (e,e,x) -- ~ e -> (e,e) coapply (e, x) = Day (e, ()) (e, ()) (\_ _ -> x)Traced comonad, or ((->) m), is another example. “instance Monoid m => Comonoid ((->) m) where coapply :: forall x. (m -> x) -> Day ((->) m) ((->) m) x -- ~ forall x. (m -> x) -> ƒDb c. (m -> b, m -> c, b -> c -> x) -- ~ forall x. (m -> x) -> (m -> m -> x) -- ~ m -> m -> m coapply f = Day id id (\x y -> f (x <> y)) Non-exampleUnlike Env or Traced, ! comonad can't be an instance of Comonoid. The law requires any lawful  Comonoid f# to satisfy the following property.For any value of f x, < doesn't change the "shape" of it. Precisely, for any value  fx :: f x$, the following equation is true. :() <$ coapply fx áD Day (() <$ fx) (() <$ fx) (\_ _ -> ())@Therefore, any lawful Comonoid (Store s)% must satisfy the following equation: ácoapply (store u s0) áD Day (store u s0) (store u s0) (\_ _ -> ()) where u = const () :: s -> ()4But it's incompatible with another requirement that duplicateDefault must be equivalent to  duplicate of the Comonad (Store s) instance. ûduplicateDefault (store u s0) = store (const (store u s0)) s0 duplicate (store u s0) = store (\s1 -> store u s1) s0 day-comonoidEvery  is a . day-comonoidEvery  is a . day-comonoid f g% can be turned into a composition of f and g.  day-comonoid ,erase1 = elim1 . trans1 (Identity . extract)  day-comonoid ,erase2 = elim2 . trans2 (Identity . extract) day-comonoid 7transBi t u = trans1 t . trans2 u = trans2 u . trans1 t         'day-comonoid-0.1-JewMSaew1Ao7N2oEzn7NFbData.Functor.Day.ComonoidControl.Comonad.StoreStore$comonad-5.0.8-J8cJsHpDMWsDNuSlx5L5a6Control.Comonadextend duplicateextractComonadComonoidcoapplyduplicateDefault extendDefault dayToComposeerase1erase2$fComonoidTracedT$fComonoidEnvT$fComonoidIdentityT $fComonoidDay $fComonoidSum $fComonoidFUN $fComonoid(,)$fComonoidIdentity+kan-extensions-5.2.5-A8QgCtCwRZp9bMF9GrcKUvData.Functor.Daytrans1assoctrans2DaytransBi