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Eta-Classes-Applicative.html
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Eta.Classes.Applicative</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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</script></head><body class="no-frame"><div id="package-header"><ul class="links" id="page-menu"><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption empty"> </p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>Safe</td></tr></table><p class="caption">Eta.Classes.Applicative</p></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">class</span> <a href="Eta-Classes-Functor.html#t:Functor">Functor</a> f => <a href="#t:Applicative">Applicative</a> f <span class="keyword">where</span><ul class="subs"></ul></li><li class="src short"><a href="#v:apply">apply</a> :: <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => f (a -> b) -> f a -> f b</li><li class="src short"><a href="#v:-60--42--124-">(<*|)</a> :: <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => f (a -> b) -> f a -> f b</li><li class="src short"><a href="#v:-124--42--62-">(|*>)</a> :: <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => f a -> f (a -> b) -> f b</li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span> <a href="Eta-Classes-Functor.html#t:Functor">Functor</a> f => <a id="t:Applicative" class="def">Applicative</a> f <span class="keyword">where</span> <a href="#t:Applicative" class="selflink">#</a></p><div class="subs minimal"><p class="caption">Minimal complete definition</p><p class="src"><a href="Eta-Classes-Applicative.html#v:pure">pure</a>, <a href="Eta-Classes-Applicative.html#v:-60--42--62-">(<*>)</a></p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a id="v:pure" class="def">pure</a> :: a -> f a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a id="v:-60--42--62-" class="def">(<*>)</a> :: f (a -> b) -> f a -> f b <a href="#v:-60--42--62-" class="selflink">#</a></p></div><div class="subs instances"><p id="control.i:Applicative" class="caption collapser" onclick="toggleSection('i:Applicative')">Instances</p><div id="section.i:Applicative" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:1" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:1')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> []</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> [a] <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: [a -> b] -> [a] -> [b] <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: [a] -> [b] -> [b]</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: [a] -> [b] -> [a]</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:2" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:2')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a></span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> (a -> b) -> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> a -> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> a -> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> b -> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> a -> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> b -> <a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a> a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:3" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:3')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> <a href="Eta-Types-IO.html#t:IO">IO</a></span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:3" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> <a href="Eta-Types-IO.html#t:IO">IO</a> a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: <a href="Eta-Types-IO.html#t:IO">IO</a> (a -> b) -> <a href="Eta-Types-IO.html#t:IO">IO</a> a -> <a href="Eta-Types-IO.html#t:IO">IO</a> b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: <a href="Eta-Types-IO.html#t:IO">IO</a> a -> <a href="Eta-Types-IO.html#t:IO">IO</a> b -> <a href="Eta-Types-IO.html#t:IO">IO</a> b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: <a href="Eta-Types-IO.html#t:IO">IO</a> a -> <a href="Eta-Types-IO.html#t:IO">IO</a> b -> <a href="Eta-Types-IO.html#t:IO">IO</a> a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:4" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:4')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> U1</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:4" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> U1 a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: U1 (a -> b) -> U1 a -> U1 b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: U1 a -> U1 b -> U1 b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: U1 a -> U1 b -> U1 a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:5" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:5')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> Par1</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:5" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Par1 a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Par1 (a -> b) -> Par1 a -> Par1 b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Par1 a -> Par1 b -> Par1 b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Par1 a -> Par1 b -> Par1 a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:6" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:6')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> Sum</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:6" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Sum a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Sum (a -> b) -> Sum a -> Sum b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Sum a -> Sum b -> Sum b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Sum a -> Sum b -> Sum a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:7" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:7')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> Product</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:7" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Product a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Product (a -> b) -> Product a -> Product b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Product a -> Product b -> Product b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Product a -> Product b -> Product a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:8" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:8')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> Last</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:8" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Last a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Last (a -> b) -> Last a -> Last b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Last a -> Last b -> Last b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Last a -> Last b -> Last a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:9" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:9')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> First</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:9" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> First a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: First (a -> b) -> First a -> First b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: First a -> First b -> First b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: First a -> First b -> First a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:10" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:10')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> Dual</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:10" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Dual a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Dual (a -> b) -> Dual a -> Dual b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Dual a -> Dual b -> Dual b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Dual a -> Dual b -> Dual a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:11" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:11')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> ZipList</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:11" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> ZipList a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: ZipList (a -> b) -> ZipList a -> ZipList b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: ZipList a -> ZipList b -> ZipList b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: ZipList a -> ZipList b -> ZipList a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:12" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:12')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> Id</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:12" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Id a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Id (a -> b) -> Id a -> Id b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Id a -> Id b -> Id b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Id a -> Id b -> Id a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:13" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:13')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> ((->) a)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:13" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> a -> a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: (a -> a -> b) -> (a -> a) -> a -> b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: (a -> a) -> (a -> b) -> a -> b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: (a -> a) -> (a -> b) -> a -> a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:14" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:14')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (<a href="Eta-Types-Either.html#t:Either">Either</a> e)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:14" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> <a href="Eta-Types-Either.html#t:Either">Either</a> e a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: <a href="Eta-Types-Either.html#t:Either">Either</a> e (a -> b) -> <a href="Eta-Types-Either.html#t:Either">Either</a> e a -> <a href="Eta-Types-Either.html#t:Either">Either</a> e b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: <a href="Eta-Types-Either.html#t:Either">Either</a> e a -> <a href="Eta-Types-Either.html#t:Either">Either</a> e b -> <a href="Eta-Types-Either.html#t:Either">Either</a> e b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: <a href="Eta-Types-Either.html#t:Either">Either</a> e a -> <a href="Eta-Types-Either.html#t:Either">Either</a> e b -> <a href="Eta-Types-Either.html#t:Either">Either</a> e a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:15" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:15')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (Rec1 f)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:15" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Rec1 f a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Rec1 f a -> Rec1 f b -> Rec1 f b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Rec1 f a -> Rec1 f b -> Rec1 f a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:16" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:16')"></span> <a href="Eta-Classes-Monoid.html#t:Monoid">Monoid</a> a => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> ((,) a)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:16" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> (a, a) <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: (a, a -> b) -> (a, a) -> (a, b) <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: (a, a) -> (a, b) -> (a, b)</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: (a, a) -> (a, b) -> (a, a)</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:17" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:17')"></span> <a href="Eta-Classes-Monad.html#t:Monad">Monad</a> m => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (WrappedMonad m)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:17" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> WrappedMonad m a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:18" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:18')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (Proxy *)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:18" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Proxy * a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Proxy * (a -> b) -> Proxy * a -> Proxy * b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Proxy * a -> Proxy * b -> Proxy * b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Proxy * a -> Proxy * b -> Proxy * a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:19" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:19')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (StateR s)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:19" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> StateR s a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: StateR s (a -> b) -> StateR s a -> StateR s b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: StateR s a -> StateR s b -> StateR s b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: StateR s a -> StateR s b -> StateR s a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:20" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:20')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (StateL s)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:20" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> StateL s a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: StateL s (a -> b) -> StateL s a -> StateL s b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: StateL s a -> StateL s b -> StateL s b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: StateL s a -> StateL s b -> StateL s a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:21" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:21')"></span> (<a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f, <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> g) => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> ((:*:) f g)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:21" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> (f :*: g) a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: (f :*: g) (a -> b) -> (f :*: g) a -> (f :*: g) b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: (f :*: g) a -> (f :*: g) b -> (f :*: g) a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:22" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:22')"></span> (<a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f, <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> g) => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> ((:.:) f g)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:22" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> (f :.: g) a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:23" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:23')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (Alt * f)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:23" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> Alt * f a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: Alt * f (a -> b) -> Alt * f a -> Alt * f b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: Alt * f a -> Alt * f b -> Alt * f b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: Alt * f a -> Alt * f b -> Alt * f a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:24" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:24')"></span> Arrow a => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (WrappedArrow a b)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:24" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> WrappedArrow a b a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: WrappedArrow a b (a -> b) -> WrappedArrow a b a -> WrappedArrow a b b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: WrappedArrow a b a -> WrappedArrow a b b -> WrappedArrow a b b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: WrappedArrow a b a -> WrappedArrow a b b -> WrappedArrow a b a</p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Applicative:Applicative:25" class="instance expander" onclick="toggleSection('i:ic:Applicative:Applicative:25')"></span> <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> (M1 i c f)</span></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Applicative:Applicative:25" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -> M1 i c f a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(<*>)</a> :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*>)</a> :: M1 i c f a -> M1 i c f b -> M1 i c f b</p><p class="src"><a href="#v:-60--42-">(<*)</a> :: M1 i c f a -> M1 i c f b -> M1 i c f a</p></div></div></td></tr></table></div></div></div><div class="top"><p class="src"><a id="v:apply" class="def">apply</a> :: <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => f (a -> b) -> f a -> f b <a href="#v:apply" class="selflink">#</a></p><div class="doc"><p>The <code><a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a></code> type class defines that a type
can have an <code><a href="Eta-Classes-Applicative.html#v:apply">apply</a></code> operation which can be used
to apply a function contained in the <code><a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a></code>
to the elements of Another.</p><p>All types that implement <code><a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a></code> must implement
<code><a href="Eta-Classes-Functor.html#t:Functor">Functor</a></code>.</p><p>The <code><a href="Eta-Types-Maybe.html#t:Maybe">Maybe</a></code> type is an example of
an instance of <code><a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a></code>.</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>apply (Just (+1)) (Just 2)
</code></strong>Just 3
</pre><p><em>Mnemonic: Applyable</em></p></div></div><div class="top"><p class="src"><a id="v:-60--42--124-" class="def">(<*|)</a> :: <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => f (a -> b) -> f a -> f b <a href="#v:-60--42--124-" class="selflink">#</a></p><div class="doc"><p>Applies the function contained in the Applicative of the left
to the Applicative which contains a value of the right:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>Just (+ 1) <*| Just 2
</code></strong>Just 3
</pre></div></div><div class="top"><p class="src"><a id="v:-124--42--62-" class="def">(|*>)</a> :: <a href="Eta-Classes-Applicative.html#t:Applicative">Applicative</a> f => f a -> f (a -> b) -> f b <a href="#v:-124--42--62-" class="selflink">#</a></p><div class="doc"><p>Applies the function contained in the Applicative of the right
to the Applicative which contains a value of the left:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>Just 1 |*> Just (+2)
</code></strong>Just 3
</pre></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.17.4</p></div></body></html>