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Fixed by the patch for #10009
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Simon Peyton Jones
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Apr 29, 2015
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{-# LANGUAGE TypeFamilies #-} | ||
{-# LANGUAGE AllowAmbiguousTypes #-} -- only necessary in 7.10 | ||
{-# LANGUAGE FlexibleContexts #-} -- necessary for showFromF' example | ||
{-# OPTIONS_GHC -fno-warn-redundant-constraints #-} | ||
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module T10226 where | ||
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type family F a | ||
type family FInv a | ||
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-- This definition is accepted in 7.8 without anything extra, but requires | ||
-- AllowAmbiguousTypes in 7.10 (this, by itself, is not a problem): | ||
showFromF :: (Show a, FInv (F a) ~ a) => F a -> String | ||
showFromF fa = undefined | ||
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-- Consider what happens when we attempt to call `showFromF` at some type b. | ||
-- In order to check that this is valid, we have to find an a such that | ||
-- | ||
-- > b ~ F a /\ Show a /\ FInv (F a) ~ a | ||
-- | ||
-- Introducing an intermeidate variable `x` for the result of `F a` gives us | ||
-- | ||
-- > b ~ F a /\ Show a /\ FInv x ~ a /\ F a ~ x | ||
-- | ||
-- Simplifying | ||
-- | ||
-- > b ~ x /\ Show a /\ FInv x ~ a /\ F a ~ x | ||
-- | ||
-- Set x := b | ||
-- | ||
-- > Show a /\ FInv b ~ a /\ F a ~ b | ||
-- | ||
-- Set a := FInv b | ||
-- | ||
-- > Show (FInv b) /\ FInv b ~ FInv b /\ F (FInv b) ~ b | ||
-- | ||
-- Simplifying | ||
-- | ||
-- > Show (FInv b) /\ F (FInv b) ~ b | ||
-- | ||
-- Indeed, we can give this definition in 7.8, but not in 7.10: | ||
showFromF' :: (Show (FInv b), F (FInv b) ~ b) => b -> String | ||
showFromF' = showFromF | ||
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{------------------------------------------------------------------------------- | ||
In 7.10 the definition of showFromF' is not accepted, but it gets stranger. | ||
In 7.10 we cannot _call_ showFromF at all all, even at a concrete type. Below | ||
we try to call it at type b ~ Int. It would need to show | ||
> Show (FInv Int) /\ F (FInt Int) ~ Int | ||
all of which should easily get resolved, but somehow don't. | ||
-------------------------------------------------------------------------------} | ||
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type instance F Int = Int | ||
type instance FInv Int = Int | ||
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test :: String | ||
test = showFromF (0 :: Int) |
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