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provides a default implementation of `(<$>)` for any\n[`Applicative`](#applicative) functor, without using `(<$>)` as provided\nby the [`Functor`](#functor)-[`Applicative`](#applicative) superclass\nrelationship.\n\n`liftA1` can therefore be used to write [`Functor`](#functor) instances\nas follows:\n\n```purescript\ninstance functorF :: Functor F where\n  map = liftA1\n```\n","title":"liftA1","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["f",{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"ForAll","contents":["b",{"annotation":[],"tag":"ConstrainedType","contents":[{"constraintAnn":[],"constraintClass":[["Control","Applicative"],"Applicative"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"f"}],"constraintKindArgs":[],"constraintData":null},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"ParensInType","contents":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"b"}]}}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeVar","contents":"f"},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeVar","contents":"f"},{"annotation":[],"tag":"TypeVar","contents":"b"}]}]}]}]},null]},null]},null]}},"sourceSpan":{"start":[57,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Applicative.purs","end":[57,64]}}]},{"moduleName":{"package":null,"item":["Control","Apply"]},"declarations":[{"children":[{"comments":null,"title":"apply","info":{"declType":"typeClassMember","type":{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"ForAll","contents":["b",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeVar","contents":"f"},{"annotation":[],"tag":"ParensInType","contents":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"b"}]}}]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeVar","contents":"f"},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeVar","contents":"f"},{"annotation":[],"tag":"TypeVar","contents":"b"}]}]}]},null]},null]}},"sourceSpan":{"start":[46,3],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[46,48]}},{"comments":null,"title":"applyFn","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Control","Apply"],"Apply"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"r"}]}]}},"sourceSpan":{"start":[50,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[51,26]}},{"comments":null,"title":"applyArray","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Control","Apply"],"Apply"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Array"]}]}},"sourceSpan":{"start":[53,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[54,21]}},{"comments":null,"title":"applyProxy","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Control","Apply"],"Apply"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Type","Proxy"],"Proxy"]}]}},"sourceSpan":{"start":[58,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[59,20]}}],"comments":"The 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It might also be understood\nin terms of the `lift2` function:\n\n```purescript\nlift2 :: forall f a b c. Apply f => (a -> b -> c) -> f a -> f b -> f c\nlift2 f a b = f <$> a <*> b\n```\n\n`(<*>)` is recovered from `lift2` as `lift2 ($)`. That is, `(<*>)` lifts\nthe function application operator `($)` to arguments wrapped with the\ntype constructor `f`.\n\nPut differently...\n```\nfoo =\n  functionTakingNArguments <$> computationProducingArg1\n                           <*> computationProducingArg2\n                           <*> ...\n                           <*> computationProducingArgN\n```\n\nInstances must satisfy the following law in addition to the `Functor`\nlaws:\n\n- Associative composition: `(<<<) <$> f <*> g <*> h = f <*> (g <*> h)`\n\nFormally, `Apply` represents a strong lax semi-monoidal endofunctor.\n","title":"Apply","info":{"fundeps":[],"arguments":[["f",null]],"declType":"typeClass","superclasses":[{"constraintAnn":[],"constraintClass":[["Data","Functor"],"Functor"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"f"}],"constraintKindArgs":[],"constraintData":null}]},"sourceSpan":{"start":[45,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[46,48]}},{"children":[],"comments":null,"title":"(<*>)","info":{"declType":"alias","alias":[["Control","Apply"],{"Right":{"Left":{"Ident":"apply"}}}],"fixity":{"associativity":"infixl","precedence":4}},"sourceSpan":{"start":[48,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[48,22]}},{"children":[],"comments":null,"title":"(<*)","info":{"declType":"alias","alias":[["Control","Apply"],{"Right":{"Left":{"Ident":"applyFirst"}}}],"fixity":{"associativity":"infixl","precedence":4}},"sourceSpan":{"start":[65,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[65,26]}},{"children":[],"comments":null,"title":"(*>)","info":{"declType":"alias","alias":[["Control","Apply"],{"Right":{"Left":{"Ident":"applySecond"}}}],"fixity":{"associativity":"infixl","precedence":4}},"sourceSpan":{"start":[71,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Apply.purs","end":[71,27]}}]},{"moduleName":{"package":null,"item":["Data","Functor"]},"declarations":[{"children":[{"comments":null,"title":"map","info":{"declType":"typeClassMember","type":{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"ForAll","contents":["b",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"ParensInType","contents":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"b"}]}}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeVar","contents":"f"},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeVar","contents":"f"},{"annotation":[],"tag":"TypeVar","contents":"b"}]}]}]},null]},null]}},"sourceSpan":{"start":[26,3],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Functor.purs","end":[26,44]}},{"comments":null,"title":"functorFn","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","Functor"],"Functor"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"r"}]}]}},"sourceSpan":{"start":[40,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Functor.purs","end":[41,16]}},{"comments":null,"title":"functorArray","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","Functor"],"Functor"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Array"]}]}},"sourceSpan":{"start":[43,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Functor.purs","end":[44,17]}},{"comments":null,"title":"functorProxy","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","Functor"],"Functor"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Type","Proxy"],"Proxy"]}]}},"sourceSpan":{"start":[46,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Functor.purs","end":[47,18]}}],"comments":"A 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print n\n  print (n * 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`bind`/`>>=` function for `Array` works by applying a function to\neach element in the array, and flattening the results into a single,\nnew array.\n\nArray's `bind`/`>>=` works like a nested for loop. Each `bind` adds\nanother level of nesting in the loop. For example:\n```\nfoo :: Array String\nfoo =\n  [\"a\", \"b\"] >>= \\eachElementInArray1 ->\n    [\"c\", \"d\"] >>= \\eachElementInArray2\n      pure (eachElementInArray1 <> eachElementInArray2)\n\n-- In other words...\nfoo\n-- ... is the same as...\n[ (\"a\" <> \"c\"), (\"a\" <> \"d\"), (\"b\" <> \"c\"), (\"b\" <> \"d\") ]\n-- which simplifies to...\n[ \"ac\", \"ad\", \"bc\", \"bd\" ]\n```\n","title":"bindArray","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Control","Bind"],"Bind"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Array"]}]}},"sourceSpan":{"start":[88,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Bind.purs","end":[89,19]}},{"comments":null,"title":"bindProxy","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Control","Bind"],"Bind"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Type","Proxy"],"Proxy"]}]}},"sourceSpan":{"start":[93,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Bind.purs","end":[94,19]}}],"comments":"The `Bind` type class extends the [`Apply`](#apply) type class with a\n\"bind\" operation `(>>=)` which composes computations in sequence, using\nthe return value of one computation to determine the next computation.\n\nThe `>>=` operator can also be expressed using `do` notation, as follows:\n\n```purescript\nx >>= f = do y <- x\n             f y\n```\n\nwhere the function argument of `f` is given the name `y`.\n\nInstances must satisfy the following laws in addition to the `Apply`\nlaws:\n\n- Associativity: `(x >>= f) >>= g = x >>= (\\k -> f k >>= g)`\n- Apply Superclass: `apply f x = f >>= \\f’ -> map f’ x`\n\nAssociativity tells us that we can regroup operations which use `do`\nnotation so that we can unambiguously write, for example:\n\n```purescript\ndo x <- m1\n   y <- m2 x\n   m3 x y\n```\n","title":"Bind","info":{"fundeps":[],"arguments":[["m",null]],"declType":"typeClass","superclasses":[{"constraintAnn":[],"constraintClass":[["Control","Apply"],"Apply"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"m"}],"constraintKindArgs":[],"constraintData":null}]},"sourceSpan":{"start":[50,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Bind.purs","end":[51,47]}},{"children":[],"comments":null,"title":"(>>=)","info":{"declType":"alias","alias":[["Control","Bind"],{"Right":{"Left":{"Ident":"bind"}}}],"fixity":{"associativity":"infixl","precedence":1}},"sourceSpan":{"start":[53,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Control/Bind.purs","end":[53,21]}},{"children":[],"comments":"`bindFlipped` is `bind` with its arguments reversed. 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It might also be understood\nin terms of the `lift2` function:\n\n```purescript\nlift2 :: forall f a b c. Apply f => (a -> b -> c) -> f a -> f b -> f c\nlift2 f a b = f <$> a <*> b\n```\n\n`(<*>)` is recovered from `lift2` as `lift2 ($)`. 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Each `bind` adds\nanother level of nesting in the loop. For example:\n```\nfoo :: Array String\nfoo =\n  [\"a\", \"b\"] >>= \\eachElementInArray1 ->\n    [\"c\", \"d\"] >>= \\eachElementInArray2\n      pure (eachElementInArray1 <> eachElementInArray2)\n\n-- In other words...\nfoo\n-- ... is the same as...\n[ (\"a\" <> \"c\"), (\"a\" <> \"d\"), (\"b\" <> \"c\"), (\"b\" <> \"d\") ]\n-- which simplifies to...\n[ \"ac\", \"ad\", \"bc\", \"bd\" 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Similarly, there are no restrictions on what the result of\n`degree zero` is; it doesn't make sense to ask for `degree zero` in the\nsame way that it doesn't make sense to divide by `zero`, so again,\nindividual instances may choose how to handle this case.\n\nFor any `EuclideanRing` which is also a `Field`, one valid choice\nfor `degree` is simply `const 1`. In fact, unless there's a specific\nreason not to, `Field` types should normally use this definition of\n`degree`.\n\nThe `EuclideanRing Int` instance is one of the most commonly used\n`EuclideanRing` instances and deserves a little more discussion. In\nparticular, there are a few different sensible law-abiding implementations\nto choose from, with slightly different behaviour in the presence of\nnegative dividends or divisors. 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Similarly, there are no restrictions on what the result of\n`degree zero` is; it doesn't make sense to ask for `degree zero` in the\nsame way that it doesn't make sense to divide by `zero`, so again,\nindividual instances may choose how to handle this case.\n\nFor any `EuclideanRing` which is also a `Field`, one valid choice\nfor `degree` is simply `const 1`. In fact, unless there's a specific\nreason not to, `Field` types should normally use this definition of\n`degree`.\n\nThe `EuclideanRing Int` instance is one of the most commonly used\n`EuclideanRing` instances and deserves a little more discussion. In\nparticular, there are a few different sensible law-abiding implementations\nto choose from, with slightly different behaviour in the presence of\nnegative dividends or divisors. The most common definitions are \"truncating\"\ndivision, where the result of `a / b` is rounded towards 0, and \"Knuthian\"\nor \"flooring\" division, where the result of `a / b` is rounded towards\nnegative infinity. A slightly less common, but arguably more useful, option\nis \"Euclidean\" division, which is defined so as to ensure that ``a `mod` b``\nis always nonnegative. With Euclidean division, `a / b` rounds towards\nnegative infinity if the divisor is positive, and towards positive infinity\nif the divisor is negative. Note that all three definitions are identical if\nwe restrict our attention to nonnegative dividends and divisors.\n\nIn versions 1.x, 2.x, and 3.x of the Prelude, the `EuclideanRing Int`\ninstance used truncating division. As of 4.x, the `EuclideanRing Int`\ninstance uses Euclidean division. Additional functions `quot` and `rem` are\nsupplied if truncating division is desired.\n","title":"EuclideanRing","info":{"fundeps":[],"arguments":[["a",null]],"declType":"typeClass","superclasses":[{"constraintAnn":[],"constraintClass":[["Data","CommutativeRing"],"CommutativeRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null}]},"sourceSpan":{"start":[63,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[66,21]}},{"children":[],"comments":"The *least common multiple* of two 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`Ring` class is for types that support addition, multiplication,\nand subtraction operations.\n\nInstances must satisfy the following laws in addition to the `Semiring`\nlaws:\n\n- Additive inverse: `a - a = zero`\n- Compatibility of `sub` and `negate`: `a - b = a + (zero - b)`\n","title":"Ring","info":{"fundeps":[],"arguments":[["a",null]],"declType":"typeClass","superclasses":[{"constraintAnn":[],"constraintClass":[["Data","Semiring"],"Semiring"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null}]},"sourceSpan":{"start":[23,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Ring.purs","end":[24,21]}},{"children":[],"comments":"`negate x` can be used as a shorthand for `zero - 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The behaviour is unspecified in these cases.\n","title":"Semiring","info":{"fundeps":[],"arguments":[["a",null]],"declType":"typeClass","superclasses":[]},"sourceSpan":{"start":[34,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Semiring.purs","end":[38,12]}},{"children":[],"comments":null,"title":"(+)","info":{"declType":"alias","alias":[["Data","Semiring"],{"Right":{"Left":{"Ident":"add"}}}],"fixity":{"associativity":"infixl","precedence":6}},"sourceSpan":{"start":[40,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Semiring.purs","end":[40,18]}},{"children":[],"comments":null,"title":"(*)","info":{"declType":"alias","alias":[["Data","Semiring"],{"Right":{"Left":{"Ident":"mul"}}}],"fixity":{"associativity":"infixl","precedence":7}},"sourceSpan":{"start":[41,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Semiring.purs","end":[41,18]}}]}],"name":"Data.Field","comments":null,"declarations":[{"children":[{"comments":null,"title":"field","info":{"declType":"instance","dependencies":[{"constraintAnn":[],"constraintClass":[["Data","EuclideanRing"],"EuclideanRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"constraintAnn":[],"constraintClass":[["Data","DivisionRing"],"DivisionRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null}],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","Field"],"Field"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}},"sourceSpan":{"start":[41,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Field.purs","end":[41,63]}}],"comments":"The `Field` class is for types that are (commutative) fields.\n\nMathematically, a field is a ring which is commutative and in which every\nnonzero element has a multiplicative inverse; these conditions correspond\nto the `CommutativeRing` and `DivisionRing` classes in PureScript\nrespectively. 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a`\n","title":"CommutativeRing","info":{"fundeps":[],"arguments":[["a",null]],"declType":"typeClass","superclasses":[{"constraintAnn":[],"constraintClass":[["Data","Ring"],"Ring"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null}]},"sourceSpan":{"start":[23,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/CommutativeRing.purs","end":[23,34]}}]},{"moduleName":{"package":null,"item":["Data","DivisionRing"]},"declarations":[{"children":[{"comments":null,"title":"recip","info":{"declType":"typeClassMember","type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}},"sourceSpan":{"start":[30,3],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/DivisionRing.purs","end":[30,18]}},{"comments":null,"title":"divisionringNumber","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","DivisionRing"],"DivisionRing"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Number"]}]}},"sourceSpan":{"start":[54,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/DivisionRing.purs","end":[55,20]}}],"comments":"The `DivisionRing` class is for non-zero rings in which every non-zero\nelement has a multiplicative inverse. Division rings are sometimes also\ncalled *skew fields*.\n\nInstances must satisfy the following laws in addition to the `Ring` laws:\n\n- Non-zero ring: `one /= zero`\n- Non-zero multiplicative inverse: `recip a * a = a * recip a = one` for\n  all non-zero `a`\n\nThe result of `recip zero` is left undefined; individual instances may\nchoose how to handle this case.\n\nIf a type has both `DivisionRing` and `CommutativeRing` instances, then\nit is a field and should have a `Field` 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`Eq` type class represents types which support decidable equality.\n\n`Eq` instances should satisfy the following laws:\n\n- Reflexivity: `x == x = true`\n- Symmetry: `x == y = y == x`\n- Transitivity: if `x == y` and `y == z` then `x == z`\n\n**Note:** The `Number` type is not an entirely law abiding member of this\nclass due to the presence of `NaN`, since `NaN /= NaN`. Additionally,\ncomputing with `Number` can result in a loss of precision, so sometimes\nvalues that should be equivalent are not.\n","title":"Eq","info":{"fundeps":[],"arguments":[["a",null]],"declType":"typeClass","superclasses":[]},"sourceSpan":{"start":[28,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Eq.purs","end":[29,26]}},{"children":[],"comments":"`notEq` tests whether one value is _not equal_ to another. Shorthand for\n`not (eq x y)`.\n","title":"notEq","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"ConstrainedType","contents":[{"constraintAnn":[],"constraintClass":[["Data","Eq"],"Eq"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Boolean"]}]}]}]},null]}},"sourceSpan":{"start":[35,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Eq.purs","end":[35,45]}},{"children":[],"comments":null,"title":"(==)","info":{"declType":"alias","alias":[["Data","Eq"],{"Right":{"Left":{"Ident":"eq"}}}],"fixity":{"associativity":"infix","precedence":4}},"sourceSpan":{"start":[31,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Eq.purs","end":[31,17]}},{"children":[],"comments":null,"title":"(/=)","info":{"declType":"alias","alias":[["Data","Eq"],{"Right":{"Left":{"Ident":"notEq"}}}],"fixity":{"associativity":"infix","precedence":4}},"sourceSpan":{"start":[38,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Eq.purs","end":[38,20]}}]},{"moduleName":{"package":null,"item":["Data","EuclideanRing"]},"declarations":[{"children":[{"comments":null,"title":"degree","info":{"declType":"typeClassMember","type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Int"]}]}},"sourceSpan":{"start":[64,3],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[64,21]}},{"comments":null,"title":"div","info":{"declType":"typeClassMember","type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]}},"sourceSpan":{"start":[65,3],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[65,21]}},{"comments":null,"title":"mod","info":{"declType":"typeClassMember","type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]}},"sourceSpan":{"start":[66,3],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[66,21]}},{"comments":null,"title":"euclideanRingInt","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","EuclideanRing"],"EuclideanRing"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Int"]}]}},"sourceSpan":{"start":[70,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[73,15]}},{"comments":null,"title":"euclideanRingNumber","info":{"declType":"instance","dependencies":[],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","EuclideanRing"],"EuclideanRing"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Number"]}]}},"sourceSpan":{"start":[75,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[78,16]}}],"comments":"The `EuclideanRing` class is for commutative rings that support division.\nThe mathematical structure this class is based on is sometimes also called\na *Euclidean domain*.\n\nInstances must satisfy the following laws in addition to the `Ring`\nlaws:\n\n- Integral domain: `one /= zero`, and if `a` and `b` are both nonzero then\n  so is their product `a * b`\n- Euclidean function `degree`:\n  - Nonnegativity: For all nonzero `a`, `degree a >= 0`\n  - Quotient/remainder: For all `a` and `b`, where `b` is nonzero,\n    let `q = a / b` and ``r = a `mod` b``; then `a = q*b + r`, and also\n    either `r = zero` or `degree r < degree b`\n- Submultiplicative euclidean function:\n  - For all nonzero `a` and `b`, `degree a <= degree (a * b)`\n\nThe behaviour of division by `zero` is unconstrained by these laws,\nmeaning that individual instances are free to choose how to behave in this\ncase. Similarly, there are no restrictions on what the result of\n`degree zero` is; it doesn't make sense to ask for `degree zero` in the\nsame way that it doesn't make sense to divide by `zero`, so again,\nindividual instances may choose how to handle this case.\n\nFor any `EuclideanRing` which is also a `Field`, one valid choice\nfor `degree` is simply `const 1`. In fact, unless there's a specific\nreason not to, `Field` types should normally use this definition of\n`degree`.\n\nThe `EuclideanRing Int` instance is one of the most commonly used\n`EuclideanRing` instances and deserves a little more discussion. In\nparticular, there are a few different sensible law-abiding implementations\nto choose from, with slightly different behaviour in the presence of\nnegative dividends or divisors. The most common definitions are \"truncating\"\ndivision, where the result of `a / b` is rounded towards 0, and \"Knuthian\"\nor \"flooring\" division, where the result of `a / b` is rounded towards\nnegative infinity. A slightly less common, but arguably more useful, option\nis \"Euclidean\" division, which is defined so as to ensure that ``a `mod` b``\nis always nonnegative. With Euclidean division, `a / b` rounds towards\nnegative infinity if the divisor is positive, and towards positive infinity\nif the divisor is negative. Note that all three definitions are identical if\nwe restrict our attention to nonnegative dividends and divisors.\n\nIn versions 1.x, 2.x, and 3.x of the Prelude, the `EuclideanRing Int`\ninstance used truncating division. As of 4.x, the `EuclideanRing Int`\ninstance uses Euclidean division. Additional functions `quot` and `rem` are\nsupplied if truncating division is desired.\n","title":"EuclideanRing","info":{"fundeps":[],"arguments":[["a",null]],"declType":"typeClass","superclasses":[{"constraintAnn":[],"constraintClass":[["Data","CommutativeRing"],"CommutativeRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null}]},"sourceSpan":{"start":[63,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[66,21]}},{"children":[],"comments":"The *least common multiple* of two values.\n","title":"lcm","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"ConstrainedType","contents":[{"constraintAnn":[],"constraintClass":[["Data","Eq"],"Eq"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"annotation":[],"tag":"ConstrainedType","contents":[{"constraintAnn":[],"constraintClass":[["Data","EuclideanRing"],"EuclideanRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]}]}]},null]}},"sourceSpan":{"start":[94,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[94,56]}},{"children":[],"comments":"The *greatest common divisor* of two values.\n","title":"gcd","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"ConstrainedType","contents":[{"constraintAnn":[],"constraintClass":[["Data","Eq"],"Eq"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"annotation":[],"tag":"ConstrainedType","contents":[{"constraintAnn":[],"constraintClass":[["Data","EuclideanRing"],"EuclideanRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]}]}]},null]}},"sourceSpan":{"start":[87,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[87,56]}},{"children":[],"comments":null,"title":"(/)","info":{"declType":"alias","alias":[["Data","EuclideanRing"],{"Right":{"Left":{"Ident":"div"}}}],"fixity":{"associativity":"infixl","precedence":7}},"sourceSpan":{"start":[68,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/EuclideanRing.purs","end":[68,18]}}]},{"moduleName":{"package":null,"item":["Data","Field"]},"declarations":[{"children":[{"comments":null,"title":"field","info":{"declType":"instance","dependencies":[{"constraintAnn":[],"constraintClass":[["Data","EuclideanRing"],"EuclideanRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"constraintAnn":[],"constraintClass":[["Data","DivisionRing"],"DivisionRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null}],"type":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Data","Field"],"Field"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}},"sourceSpan":{"start":[41,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Field.purs","end":[41,63]}}],"comments":"The `Field` class is for types that are (commutative) fields.\n\nMathematically, a field is a ring which is commutative and in which every\nnonzero element has a multiplicative inverse; these conditions correspond\nto the `CommutativeRing` and `DivisionRing` classes in PureScript\nrespectively. However, the `Field` class has `EuclideanRing` and\n`DivisionRing` as superclasses, which seems like a stronger requirement\n(since `CommutativeRing` is a superclass of `EuclideanRing`). In fact, it\nis not stronger, since any type which has law-abiding `CommutativeRing`\nand `DivisionRing` instances permits exactly one law-abiding\n`EuclideanRing` instance. We use a `EuclideanRing` superclass here in\norder to ensure that a `Field` constraint on a function permits you to use\n`div` on that type, since `div` is a member of `EuclideanRing`.\n\nThis class has no laws or members of its own; it exists as a convenience,\nso a single constraint can be used when field-like behaviour is expected.\n\nThis module also defines a single `Field` instance for any type which has\nboth `EuclideanRing` and `DivisionRing` instances. Any other instance\nwould overlap with this instance, so no other `Field` instances should be\ndefined in libraries. Instead, simply define `EuclideanRing` and\n`DivisionRing` instances, and this will permit your type to be used with a\n`Field` constraint.\n","title":"Field","info":{"fundeps":[],"arguments":[["a",null]],"declType":"typeClass","superclasses":[{"constraintAnn":[],"constraintClass":[["Data","EuclideanRing"],"EuclideanRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null},{"constraintAnn":[],"constraintClass":[["Data","DivisionRing"],"DivisionRing"],"constraintArgs":[{"annotation":[],"tag":"TypeVar","contents":"a"}],"constraintKindArgs":[],"constraintData":null}]},"sourceSpan":{"start":[39,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Field.purs","end":[39,51]}}]},{"moduleName":{"package":null,"item":["Data","Function"]},"declarations":[{"children":[],"comments":"Flips the order of the arguments to a function of two arguments.\n\n```purescript\nflip const 1 2 = const 2 1 = 2\n```\n","title":"flip","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"ForAll","contents":["b",{"annotation":[],"tag":"ForAll","contents":["c",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"ParensInType","contents":{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"b"}]},{"annotation":[],"tag":"TypeVar","contents":"c"}]}]}}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"b"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeVar","contents":"c"}]}]}]},null]},null]},null]}},"sourceSpan":{"start":[21,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Function.purs","end":[21,51]}},{"children":[],"comments":"Returns its first argument and ignores its second.\n\n```purescript\nconst 1 \"hello\" = 1\n```\n\nIt can also be thought of as creating a function that ignores its argument:\n\n```purescript\nconst 1 = \\_ -> 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`HeytingAlgebra` type class represents types that are bounded lattices with\nan implication operator such that the following laws hold:\n\n- Associativity:\n  - `a || (b || c) = (a || b) || c`\n  - `a && (b && c) = (a && b) && c`\n- Commutativity:\n  - `a || b = b || a`\n  - `a && b = b && a`\n- Absorption:\n  - `a || (a && b) = a`\n  - `a && (a || b) = a`\n- Idempotent:\n  - `a || a = a`\n  - `a && a = a`\n- Identity:\n  - `a || ff = a`\n  - `a && tt = a`\n- Implication:\n  - ``a `implies` a = tt``\n  - ``a && (a `implies` b) = a && b``\n  - ``b && (a `implies` b) = b``\n  - ``a `implies` (b && c) = (a `implies` b) && (a `implies` c)``\n- Complemented:\n  - ``not a = a `implies` 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In other words, one can never create\na runtime value of type `Void` becaue no such value exists.\n\n`Void` is useful to eliminate the possibility of a value being created.\nFor example, a value of type `Either Void Boolean` can never have\na Left value created in PureScript.\n\nThis should not be confused with the keyword `void` that commonly appears in\nC-family languages, such as Java:\n```\npublic class Foo {\n  void doSomething() { System.out.println(\"hello world!\"); }\n}\n```\n\nIn PureScript, one often uses `Unit` to achieve similar effects as\nthe `void` of C-family languages above.\n","title":"Void","info":{"declType":"data","dataDeclType":"newtype","typeArguments":[]},"sourceSpan":{"start":[22,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Void.purs","end":[22,25]}},{"children":[],"comments":"Eliminator for the `Void` type.\nUseful for stating that some code branch is impossible because you've\n\"acquired\" a value of type `Void` (which you can't).\n\n```purescript\nrightOnly :: forall t . Either Void t -> t\nrightOnly (Left v) = absurd v\nrightOnly (Right t) = t\n```\n","title":"absurd","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Data","Void"],"Void"]}]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},null]}},"sourceSpan":{"start":[36,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Data/Void.purs","end":[36,30]}}]}],"name":"Prelude","comments":null,"declarations":[]},{"reExports":[],"name":"Record.Unsafe","comments":"The functions in this module are highly unsafe as they treat records like\nstringly-keyed maps and can coerce the row of labels that a record has.\n\nThese function are intended for situations where there is some other way of\nproving things about the structure of the record - for example, when using\n`RowToList`. **They should never be used for general record manipulation.**\n","declarations":[{"children":[],"comments":"Checks if a record has a key, using a string for the key.\n","title":"unsafeHas","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["r1",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"String"]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Record"]},{"annotation":[],"tag":"TypeVar","contents":"r1"}]}]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Boolean"]}]}]},null]}},"sourceSpan":{"start":[10,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Record/Unsafe.purs","end":[10,70]}},{"children":[],"comments":"Unsafely gets a value from a record, using a string for the key.\n\nIf the key does not exist this will cause a runtime error elsewhere.\n","title":"unsafeGet","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["r",{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"String"]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Record"]},{"annotation":[],"tag":"TypeVar","contents":"r"}]}]},{"annotation":[],"tag":"TypeVar","contents":"a"}]}]},null]},null]}},"sourceSpan":{"start":[15,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Record/Unsafe.purs","end":[15,64]}},{"children":[],"comments":"Unsafely sets a value on a record, using a string for the key.\n\nThe output record's row is unspecified so can be coerced to any row. If the\noutput type is incorrect it will cause a runtime error elsewhere.\n","title":"unsafeSet","info":{"declType":"value","type":{"annotation":[],"tag":"ForAll","contents":["r1",{"annotation":[],"tag":"ForAll","contents":["r2",{"annotation":[],"tag":"ForAll","contents":["a",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"String"]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeVar","contents":"a"}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Record"]},{"annotation":[],"tag":"TypeVar","contents":"r1"}]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Record"]},{"annotation":[],"tag":"TypeVar","contents":"r2"}]}]}]}]},null]},null]},null]}},"sourceSpan":{"start":[21,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Record/Unsafe.purs","end":[21,82]}},{"children":[],"comments":"Unsafely removes a value on a record, using a string for the key.\n\nThe output record's row is unspecified so can be coerced to any row. 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The\nsolution is to use a `Proxy` type instead:\n\n``` purescript\nclass AjaxResponse a where\n  responseType :: Proxy a -> ResponseType\n  fromResponse :: Foreign -> a\n```\n\nWe can now call `responseType (Proxy :: Proxy SomeContentType)` to produce\na `ResponseType` for `SomeContentType` without having to construct some\nempty version of `SomeContentType` first. In situations like this where\nthe `Proxy` type can be statically determined, it is recommended to pull\nout the definition to the top level and make a declaration like:\n\n``` purescript\n_SomeContentType :: Proxy SomeContentType\n_SomeContentType = Proxy\n```\n\nThat way the proxy value can be used as `responseType _SomeContentType`\nfor improved readability. However, this is not always possible, sometimes\nthe type required will be determined by a type variable. As PureScript has\nscoped type variables, we can do things like this:\n\n``` purescript\nmakeRequest :: URL -> ResponseType -> Aff _ Foreign\nmakeRequest = ...\n\nfetchData :: forall a. (AjaxResponse a) => URL -> Aff _ a\nfetchData url = fromResponse <$> makeRequest url (responseType (Proxy :: Proxy a))\n```\n","declarations":[{"children":[{"comments":null,"title":"Proxy","info":{"arguments":[],"declType":"dataConstructor"},"sourceSpan":null}],"comments":null,"title":"Proxy","info":{"declType":"data","dataDeclType":"data","typeArguments":[["a",null]]},"sourceSpan":{"start":[53,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Type/Proxy.purs","end":[53,21]}},{"children":[{"comments":null,"title":"Proxy2","info":{"arguments":[],"declType":"dataConstructor"},"sourceSpan":null}],"comments":null,"title":"Proxy2","info":{"declType":"data","dataDeclType":"data","typeArguments":[["f",null]]},"sourceSpan":{"start":[58,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Type/Proxy.purs","end":[58,23]}},{"children":[{"comments":null,"title":"Proxy3","info":{"arguments":[],"declType":"dataConstructor"},"sourceSpan":null}],"comments":"Value proxy for kind `Type -> Type -> Type` types.\n**Deprecated as of v0.14.0 PureScript release**: use `Proxy` instead.\n","title":"Proxy3","info":{"declType":"data","dataDeclType":"data","typeArguments":[["a",{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Type"]}]},{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeApp","contents":[{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Function"]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Type"]}]},{"annotation":[],"tag":"TypeConstructor","contents":[["Prim"],"Type"]}]}]}]]},"sourceSpan":{"start":[62,1],"name":"/Users/trh/Desktop/release/purescript-prelude/src/Type/Proxy.purs","end":[62,49]}}]}],"resolvedDependencies":{},"version":"5.0.1","github":["purescript","purescript-prelude"],"versionTag":"v5.0.1","moduleMap":{},"compilerVersion":"0.14.0"}