Oh, forgot to mention that there is a warning I also don't understand by far:

```log
src/PoC/DynPoly.hs:40:3: warning: [-Woverlapping-patterns]
    Pattern match has inaccessible right hand side
    In a case alternative: Dynamic (App eventSink TypeRep) evs' -> ...
   |
40 |   Dynamic (App eventSink TypeRep) evs' ->
   |   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^...
```
I need to work out some extra stuff to test the solution in real case, 
meanwhile this warning seems worrying ...

> On 2021-04-13, at 00:27, YueCompl via ghc-devs <ghc-devs@haskell.org> wrote:
> 
> Thanks Erik,
> 
> With the help from Iceland_jack <https://www.reddit.com/user/Iceland_jack> 
> via /r/haskell <https://www.reddit.com/r/haskell> , I end up with a working 
> solution like this:
> 
> ```hs
> data TypeableInstance a where
>   -- data TypeableInstance :: forall k. k -> Type where
>   TypeableInstance :: Typeable a => TypeableInstance a
> 
> typeableInstance :: forall (k :: Type) (a :: k). TypeRep a -> 
> TypeableInstance a
> typeableInstance typeRep' = withTypeable typeRep' TypeableInstance
> 
> pattern TypeRep :: forall k (a :: k). () => Typeable a => TypeRep a
> pattern TypeRep <-
>   (typeableInstance -> TypeableInstance)
>   where
>     TypeRep = typeRep
> 
> holdEvent :: Dynamic -> Dynamic
> holdEvent !devs = case devs of
>   Dynamic (App eventSink TypeRep) evs' ->
>     case eqTypeRep (typeRep @EventSink) eventSink of
>       Just HRefl -> Dynamic TypeRep (hcHoldEvent evs')
>       Nothing -> error "not an EventSink" -- to be handled properly
>   _ -> error "even not a poly-type" -- to be handled properly
>   where
>     hcHoldEvent :: forall a. EventSink a -> IO (TimeSeries a)
>     hcHoldEvent !evs = do
>       !holder <- newIORef Nothing
>       listenEvents evs $ writeIORef holder . Just
>       return $ TimeSeries $ readIORef holder
> 
> data EventSink a = EventSink
>   { listenEvents :: (a -> IO ()) -> IO (),
>     closeStream :: IO ()
>   }
> 
> instance Functor EventSink where
>   fmap = undefined
> 
> newtype TimeSeries a = TimeSeries {readTimeSeries :: IO (Maybe a)}
> 
> instance Functor TimeSeries where
>   fmap = undefined
> 
> ```
> 
> I'm still wrapping my head around it, for how the `pattern TypeRep` works in 
> this case.
> 
> Or you think there exists a solution without using such a pattern?
> 
> My function (hcHoldEvent) is polymorphic so not eligible to be wrapped as a 
> Dynamic in the first place, or there also some way to specialize it at 
> runtime? That'll be another interesting tool.
> 
> Thanks with regards,
> Compl
> 
>> On 2021-04-12, at 22:50, Erik Hesselink <hessel...@gmail.com 
>> <mailto:hessel...@gmail.com>> wrote:
>> 
>> Your function is not `forall a. a -> f a`, as in your initial example, but 
>> requires its argument to be an `EventSink`. The value you unwrap from the 
>> `Dynamic` is any existential type, not necessarily an `EventSink`. You'll 
>> have to compare the TypeReps (with something like `eqTypeRep`[1], or wrap 
>> your function in a `Dynamic` and use `dynApply` [2], which does the 
>> comparison for you.
>> 
>> Cheers,
>> 
>> Erik
>> 
>> [1] 
>> https://hackage.haskell.org/package/base-4.15.0.0/docs/Type-Reflection.html#v:eqTypeRep
>>  
>> <https://hackage.haskell.org/package/base-4.15.0.0/docs/Type-Reflection.html#v:eqTypeRep>
>> [2] 
>> https://hackage.haskell.org/package/base-4.15.0.0/docs/Data-Dynamic.html#v:dynApply
>>  
>> <https://hackage.haskell.org/package/base-4.15.0.0/docs/Data-Dynamic.html#v:dynApply>
>> On Mon, 12 Apr 2021 at 16:15, YueCompl via ghc-devs <ghc-devs@haskell.org 
>> <mailto:ghc-devs@haskell.org>> wrote:
>> Thanks to Vlad and Jaro, your solution of `apD` compiles, I think it should 
>> work.
>> 
>> But unfortunately my real case is a little different / more complex, a MWE 
>> appears like this:
>> 
>> ```hs
>> holdEvent :: Dynamic -> Dynamic
>> holdEvent (Dynamic t evs') =
>>   withTypeable t $ Dynamic typeRep (hcHoldEvent evs')
>>   where
>>     hcHoldEvent :: forall a. EventSink a -> IO (TimeSeries a)
>>     hcHoldEvent !evs = do
>>       !holder <- newIORef Nothing
>>       listenEvents evs $ writeIORef holder . Just
>>       return $ TimeSeries $ readIORef holder
>> 
>> data EventSink a = EventSink
>>   { listenEvents :: (a -> IO ()) -> IO (),
>>     closeStream :: IO ()
>>   }
>> 
>> instance Functor EventSink where
>>   fmap = undefined
>> 
>> newtype TimeSeries a = TimeSeries {readTimeSeries :: IO (Maybe a)}
>> 
>> instance Functor TimeSeries where
>>   fmap = undefined
>> 
>> ```
>> 
>> Now I'm clueless how to use the `withTypeable` trick to apply my polymorphic 
>> `hcHoldEvent` to `Dynamic`, naively written as in above, the error is:
>> 
>> ```log
>> src/PoC/DynPoly.hs:20:49: error:
>>     • Couldn't match expected type ‘EventSink a0’ with actual type ‘a’
>>       ‘a’ is a rigid type variable bound by
>>         a pattern with constructor:
>>           Dynamic :: forall a.
>>                      base-4.13.0.0:Data.Typeable.Internal.TypeRep a -> a -> 
>> Dynamic,
>>         in an equation for ‘holdEvent’
>>         at src/PoC/DynPoly.hs:19:12-25
>>     • In the first argument of ‘hcHoldEvent’, namely ‘evs'’
>>       In the second argument of ‘Dynamic’, namely ‘(hcHoldEvent evs')’
>>       In the second argument of ‘($)’, namely
>>         ‘Dynamic typeRep (hcHoldEvent evs')’
>>     • Relevant bindings include
>>         evs' :: a (bound at src/PoC/DynPoly.hs:19:22)
>>         t :: base-4.13.0.0:Data.Typeable.Internal.TypeRep a
>>           (bound at src/PoC/DynPoly.hs:19:20)
>>    |
>> 20 |   withTypeable t $ Dynamic typeRep (hcHoldEvent evs')
>>    |                                                 ^^^^
>> 
>> ```
>> 
>> Thanks with best regards,
>> Compl
>> 
>> 
>>> On 2021-04-12, at 22:04, Jaro Reinders <jaro.reind...@gmail.com 
>>> <mailto:jaro.reind...@gmail.com>> wrote:
>>> 
>>> I have no experience in this area, but this compiles:
>>> 
>>> ```
>>> {-# LANGUAGE RankNTypes, ScopedTypeVariables #-}
>>> import Type.Reflection
>>> import Data.Dynamic
>>> 
>>> appD :: forall f. Typeable f => (forall a. a -> f a) -> Dynamic -> Dynamic
>>> appD f (Dynamic rep (x :: a)) = withTypeable rep (toDyn (f x))
>>> ```
>>> 
>>> Cheers,
>>> 
>>> Jaro
>> 
>> 
>>> On 2021-04-12, at 21:06, Vladislav Zavialov <vladis...@serokell.io 
>>> <mailto:vladis...@serokell.io>> wrote:
>>> 
>>> Would something like this work for you?
>>> 
>>>  import Type.Reflection
>>>  import Data.Dynamic
>>> 
>>>  apD :: Typeable f => (forall a. a -> f a) -> Dynamic -> Dynamic
>>>  apD f (Dynamic t a) = withTypeable t $ Dynamic typeRep (f a)
>>> 
>>> - Vlad
>>> 
>>>> On 12 Apr 2021, at 14:34, YueCompl via ghc-devs <ghc-devs@haskell.org 
>>>> <mailto:ghc-devs@haskell.org>> wrote:
>>>> 
>>>> Dear Cafe and GHC devs,
>>>> 
>>>> 
>>>> There used to be a "principled way with pattern match on the constructor":
>>>> 
>>>> ```hs
>>>> data Dynamic where
>>>> Dynamic :: Typeable a => a -> Dynamic
>>>> 
>>>> apD :: Typeable f => (forall a. a -> f a) -> Dynamic -> Dynamic
>>>> apD f (Dynamic a) = Dynamic $ f a
>>>> ```
>>>> Source: 
>>>> https://www.reddit.com/r/haskell/comments/2kdcca/q_how_to_apply_a_polymorphic_function_to_a/
>>>>  
>>>> <https://www.reddit.com/r/haskell/comments/2kdcca/q_how_to_apply_a_polymorphic_function_to_a/>
>>>> 
>>>> 
>>>> But now with GHC 8.8 as in my case, `Dynamic` constructor has changed its 
>>>> signature to: 
>>>> 
>>>> ```hs
>>>> Dynamic :: forall a. TypeRep a -> a -> Dynamic
>>>> ```
>>>> 
>>>> Which renders the `apD` not working anymore. 
>>>> 
>>>> 
>>>> And it seems missing dependencies now for an older solution Edward KMETT 
>>>> provides:
>>>> 
>>>> ```hs
>>>> apD :: forall f. Typeable1 f => (forall a. a -> f a) -> Dynamic -> Dynamic
>>>> apD f a = dynApp df a
>>>> where t = dynTypeRep a
>>>>       df = reify (mkFunTy t (typeOf1 (undefined :: f ()) `mkAppTy` t)) $ 
>>>>                 \(_ :: Proxy s) -> toDyn (WithRep f :: WithRep s (() -> f 
>>>> ()))
>>>> ```
>>>> Source: 
>>>> https://stackoverflow.com/questions/10889682/how-to-apply-a-polymorphic-function-to-a-dynamic-value
>>>>  
>>>> <https://stackoverflow.com/questions/10889682/how-to-apply-a-polymorphic-function-to-a-dynamic-value>
>>>> 
>>>> 
>>>> So, how can I do that nowadays?
>>>> 
>>>> Thanks,
>>>> Compl
>>>> 
>>>> _______________________________________________
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>>>> ghc-devs@haskell.org <mailto:ghc-devs@haskell.org>
>>>> http://mail.haskell.org/cgi-bin/mailman/listinfo/ghc-devs 
>>>> <http://mail.haskell.org/cgi-bin/mailman/listinfo/ghc-devs>
>>> 
>> 
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> 
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