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May 1, 2015
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Add more lattice laws #13

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6 changes: 6 additions & 0 deletions docs/Prelude.md
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Expand Up @@ -1027,6 +1027,12 @@ sets with a supremum (`sup` or `||`) and infimum (`inf` or `&&`).
Instances should satisfy the following laws in addition to the `Ord`
laws:

- Supremum:
- `a || b >= a`
- `a || b >= b`
- Infimum:
- `a && b <= a`
- `a && b <= b`
- Associativity:
- `a || (b || c) = (a || b) || c`
- `a && (b && c) = (a && b) && c`
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6 changes: 6 additions & 0 deletions src/Prelude.purs
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Expand Up @@ -904,6 +904,12 @@ instance boundedOrdering :: Bounded Ordering where
-- | Instances should satisfy the following laws in addition to the `Ord`
-- | laws:
-- |
-- | - Supremum:
-- | - `a || b >= a`
-- | - `a || b >= b`
-- | - Infimum:
-- | - `a && b <= a`
-- | - `a && b <= b`
-- | - Associativity:
-- | - `a || (b || c) = (a || b) || c`
-- | - `a && (b && c) = (a && b) && c`
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