Max and Min for Monoid

I'd like to add two instances to Data.Monoid, alongside of All/Any, Sum/Product, and First/Last.

Here's a current instance (as a style example):

-- | Boolean monoid under conjunction.
newtype All = All { getAll :: Bool }
	deriving (Eq, Ord, Read, Show, Bounded)

instance Monoid All where
	mempty = All True
	All x `mappend` All y = All (x && y)

My proposed addition:

-- | Ordered monoid under 'max'.
newtype Max a = Max { getMax :: a }
	deriving (Eq, Ord, Read, Show, Bounded)

instance (Ord a, Bounded a) => Monoid (Max a) where
	mempty = Max minBound
	Max a `mappend` Max b = Max (a `max` b)

-- | Ordered monoid under 'min'.
newtype Min a = Min { getMin :: a }
	deriving (Eq, Ord, Read, Show, Bounded)

instance (Ord a, Bounded a) => Monoid (Min a) where
	mempty = Min minBound
	Min a `mappend` Min b = Min (a `min` b)

I have a niggling uncertainty about the Ord & Bounded instances for Min a? Is there a reason flip the a ordering instead of preserving it?

Trac metadata

Trac field	Value
Version	6.8.1
Type	Bug
TypeOfFailure	OtherFailure
Priority	normal
Resolution	Unresolved
Component	libraries/base
Test case
Differential revisions
BlockedBy
Related
Blocking
CC	conal@conal.net
Operating system	Unknown
Architecture	Unknown