The I's are done.

diff --git a/docs/reference/hypot.md b/docs/reference/hypot.md
index 4abcd23..6a92067 100644 (file)
--- a/docs/reference/hypot.md
+++ b/docs/reference/hypot.md
@@ -5,7 +5,7 @@
 Function
 
              x y hypot
-    --------------------------
+    ---------------------------
        sqrt(sqr(x) + sqr(y))
 
 ### Definition

diff --git a/docs/reference/id.md b/docs/reference/id.md
index 7b8e153..e1437c2 100644 (file)
--- a/docs/reference/id.md
+++ b/docs/reference/id.md
@@ -2,28 +2,10 @@
 
 ## id
 
-Basis Function Combinator
+Basis Function
 
 The identity function.
 
-Gentzen diagram.
-
-### Definition
-
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
-
 ### Discussion
 
-Lorem ipsum.
-
-### Crosslinks
-
-Lorem ipsum.
+Does nothing.  It's kind of a mathematical thing, but it occasionally comes in handy.

diff --git a/docs/reference/ifte.md b/docs/reference/ifte.md
index d60c09e..cc50757 100644 (file)
--- a/docs/reference/ifte.md
+++ b/docs/reference/ifte.md
@@ -2,42 +2,20 @@
 
 ## ifte
 
-Basis Function Combinator
+Combinator
 
-If-Then-Else Combinator :
+If-Then-Else combinator, a common and convenient specialization of [branch].
 
-    ... [if] [then] [else] ifte
-    ---------------------------------------------------
-    ... [[else] [then]] [...] [if] infra select i
-
-
-
-
-    ... [if] [then] [else] ifte
-    -------------------------------------------------------
-    ... [else] [then] [...] [if] infra first choice i
-
-Has the effect of grabbing a copy of the stack on which to run the
-if-part using infra.
-
-Gentzen diagram.
+            [if] [then] [else] ifte
+    ---------------------------------------
+       [if] nullary [else] [then] branch
 
 ### Definition
 
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
-
-### Discussion
-
-Lorem ipsum.
+> \[[nullary]\] [dipd] [swap] [branch]
 
 ### Crosslinks
 
-Lorem ipsum.
+[branch]
+[loop]
+[while]

diff --git a/docs/reference/infra.md b/docs/reference/infra.md
index edea95a..ace72ef 100644 (file)
--- a/docs/reference/infra.md
+++ b/docs/reference/infra.md
@@ -2,19 +2,18 @@
 
 ## infra
 
-(Combinator)
+Combinator
 
 Accept a quoted program and a list on the stack and run the program with
 the list as its stack.  Does not affect the stack (below the list.)
 
-       ... [a b c] [Q] infra
-    ---------------------------
-        c b a Q [...] swaack
+       ... x y z [a b c] [Q] infra
+    ---------------------------------
+        c b a Q [z y x ...] swaack
 
 ### Definition
 
-    swons swaack [i] dip swaack
-
+> [swons] [swaack] \[[i]\] [dip] [swaack]
 
 ### Discussion
 

diff --git a/docs/reference/infrst.md b/docs/reference/infrst.md
index 486e0d3..95f1cf4 100644 (file)
--- a/docs/reference/infrst.md
+++ b/docs/reference/infrst.md
@@ -2,28 +2,11 @@
 
 ## infrst
 
-Basis Function Combinator
+Combinator
 
-infra first
-
-Gentzen diagram.
+Does [infra] and then extracts the [first] item from the resulting list.
 
 ### Definition
 
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
-
-### Discussion
-
-Lorem ipsum.
-
-### Crosslinks
+> [infra] [first]
 
-Lorem ipsum.

diff --git a/docs/reference/inscribe.md b/docs/reference/inscribe.md
index caaef7c..b3123b8 100644 (file)
--- a/docs/reference/inscribe.md
+++ b/docs/reference/inscribe.md
@@ -2,32 +2,17 @@
 
 ## inscribe
 
-Basis Function Combinator
-
 Create a new Joy function definition in the Joy dictionary. A definition
-is given as a quote with a name followed by a Joy expression. for
-example:
-
-> \[sqr dup mul\] inscribe
-
-Gentzen diagram.
-
-### Definition
+is given as a quote with a name followed by a Joy expression.
 
-if not basis.
+### Example
 
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
+    [sqr dup mul] inscribe
 
 ### Discussion
 
-Lorem ipsum.
-
-### Crosslinks
+This is the only function that modifies the dictionary.  It's provided as a 
+convenience, for tinkering with new definitions before entering them into
+the `defs.txt` file.  It can be abused, which you should avoid unless you
+know what you're doing.
 
-Lorem ipsum.

diff --git a/docs/reference/mkref/FuncRef.html b/docs/reference/mkref/FuncRef.html
index dc9f780..c78dba0 100644 (file)
--- a/docs/reference/mkref/FuncRef.html
+++ b/docs/reference/mkref/FuncRef.html
@@ -1272,7 +1272,7 @@ a F a</code></pre>
 <h2 id="hypot">hypot</h2>
 <p>Function</p>
 <pre><code>         x y hypot
---------------------------
+---------------------------
    sqrt(sqr(x) + sqr(y))</code></pre>
 <h3 id="definition-43">Definition</h3>
 <blockquote>
@@ -1293,45 +1293,23 @@ a F a</code></pre>
 <p>This is a fundamental combinator. It is used in all kinds of places. For example, the <a href="#x">x</a> combinator can be defined as <code>dup i</code>.</p>
 <hr />
 <h2 id="id">id</h2>
-<p>Basis Function Combinator</p>
+<p>Basis Function</p>
 <p>The identity function.</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-44">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-3">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source">Source</h3>
-<p>if basis</p>
 <h3 id="discussion-42">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-52">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Does nothing. It&#x2019;s kind of a mathematical thing, but it occasionally comes in handy.</p>
 <hr />
 <h2 id="ifte">ifte</h2>
-<p>Basis Function Combinator</p>
-<p>If-Then-Else Combinator :</p>
-<pre><code>... [if] [then] [else] ifte
----------------------------------------------------
-... [[else] [then]] [...] [if] infra select i
-
-
-
-
-... [if] [then] [else] ifte
--------------------------------------------------------
-... [else] [then] [...] [if] infra first choice i</code></pre>
-<p>Has the effect of grabbing a copy of the stack on which to run the if-part using infra.</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-45">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-4">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-1">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-43">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-53">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Combinator</p>
+<p>If-Then-Else combinator, a common and convenient specialization of <a href="#branch">branch</a>.</p>
+<pre><code>        [if] [then] [else] ifte
+---------------------------------------
+   [if] nullary [else] [then] branch</code></pre>
+<h3 id="definition-44">Definition</h3>
+<blockquote>
+<p>[<a href="#nullary">nullary</a>] <a href="#dipd">dipd</a> <a href="#swap">swap</a> <a href="#branch">branch</a></p>
+</blockquote>
+<h3 id="crosslinks-52">Crosslinks</h3>
+<p><a href="#branch">branch</a> <a href="#loop">loop</a> <a href="#while">while</a></p>
 <hr />
 <h2 id="ii">ii</h2>
 <p>Combinator</p>
@@ -1339,7 +1317,7 @@ a F a</code></pre>
 <pre><code>... a [Q] ii
 ------------------
  ... Q a Q</code></pre>
-<h3 id="definition-46">Definition</h3>
+<h3 id="definition-45">Definition</h3>
 <blockquote>
 <p>[<a href="#dip">dip</a>] <a href="#dupdip">dupdip</a> <a href="#i">i</a></p>
 </blockquote>
@@ -1354,7 +1332,7 @@ a F a</code></pre>
       1 2 4 4 [++] &#x2022; i
            1 2 4 4 &#x2022; ++
            1 2 4 5 &#x2022;</code></pre>
-<h3 id="discussion-44">Discussion</h3>
+<h3 id="discussion-43">Discussion</h3>
 <p>In some cases (like the example above) this is the same effect as using <a href="#app2">app2</a> but most of the time it&#x2019;s not:</p>
 <pre><code>   1 2 3 4 [+] ii
 --------------------
@@ -1363,68 +1341,52 @@ a F a</code></pre>
    1 2 3 4 [+] app2
 ----------------------
        1 2 5 6</code></pre>
-<h3 id="crosslinks-54">Crosslinks</h3>
+<h3 id="crosslinks-53">Crosslinks</h3>
 <p><a href="#app2">app2</a> <a href="#b">b</a></p>
 <hr />
 <h2 id="infra">infra</h2>
-<p>(Combinator)</p>
+<p>Combinator</p>
 <p>Accept a quoted program and a list on the stack and run the program with the list as its stack. Does not affect the stack (below the list.)</p>
-<pre><code>   ... [a b c] [Q] infra
----------------------------
-    c b a Q [...] swaack</code></pre>
-<h3 id="definition-47">Definition</h3>
-<pre><code>swons swaack [i] dip swaack</code></pre>
-<h3 id="discussion-45">Discussion</h3>
+<pre><code>   ... x y z [a b c] [Q] infra
+---------------------------------
+    c b a Q [z y x ...] swaack</code></pre>
+<h3 id="definition-46">Definition</h3>
+<blockquote>
+<p><a href="#swons">swons</a> <a href="#swaack">swaack</a> [<a href="#i">i</a>] <a href="#dip">dip</a> <a href="#swaack">swaack</a></p>
+</blockquote>
+<h3 id="discussion-44">Discussion</h3>
 <p>This is one of the more useful combinators. It allows a quoted expression to serve as a stack for a program, effectively running it in a kind of &#x201C;pocket universe&#x201D;. If the list represents a datastructure then <code>infra</code> lets you work on its internal structure.</p>
-<h3 id="crosslinks-55">Crosslinks</h3>
+<h3 id="crosslinks-54">Crosslinks</h3>
 <p><a href="#swaack">swaack</a></p>
 <hr />
 <h2 id="infrst">infrst</h2>
-<p>Basis Function Combinator</p>
-<p>infra first</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-48">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-5">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-2">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-46">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-56">Crosslinks</h3>
-<p>Lorem ipsum.</p>
-<hr />
-<h2 id="inscribe">inscribe</h2>
-<p>Basis Function Combinator</p>
-<p>Create a new Joy function definition in the Joy dictionary. A definition is given as a quote with a name followed by a Joy expression. for example:</p>
+<p>Combinator</p>
+<p>Does <a href="#infra">infra</a> and then extracts the <a href="#first">first</a> item from the resulting list.</p>
+<h3 id="definition-47">Definition</h3>
 <blockquote>
-<p>[sqr dup mul] inscribe</p>
+<p><a href="#infra">infra</a> <a href="#first">first</a></p>
 </blockquote>
-<p>Gentzen diagram.</p>
-<h3 id="definition-49">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-6">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-3">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-47">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-57">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<hr />
+<h2 id="inscribe">inscribe</h2>
+<p>Create a new Joy function definition in the Joy dictionary. A definition is given as a quote with a name followed by a Joy expression.</p>
+<h3 id="example-8">Example</h3>
+<pre><code>[sqr dup mul] inscribe</code></pre>
+<h3 id="discussion-45">Discussion</h3>
+<p>This is the only function that modifies the dictionary. It&#x2019;s provided as a convenience, for tinkering with new definitions before entering them into the <code>defs.txt</code> file. It can be abused, which you should avoid unless you know what you&#x2019;re doing.</p>
 <hr />
 <h2 id="le">le</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a &lt;= b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-50">Definition</h3>
+<h3 id="definition-48">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-7">Derivation</h3>
+<h3 id="derivation-3">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-4">Source</h3>
+<h3 id="source">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-48">Discussion</h3>
+<h3 id="discussion-46">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-58">Crosslinks</h3>
+<h3 id="crosslinks-55">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="loop">loop</h2>
@@ -1438,120 +1400,120 @@ a F a</code></pre>
 ------------------------
    ...</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-51">Definition</h3>
+<h3 id="definition-49">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-8">Derivation</h3>
+<h3 id="derivation-4">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-5">Source</h3>
+<h3 id="source-1">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-49">Discussion</h3>
+<h3 id="discussion-47">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-59">Crosslinks</h3>
+<h3 id="crosslinks-56">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="lshift">lshift</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a &lt;&lt; b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-52">Definition</h3>
+<h3 id="definition-50">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-9">Derivation</h3>
+<h3 id="derivation-5">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-6">Source</h3>
+<h3 id="source-2">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-50">Discussion</h3>
+<h3 id="discussion-48">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-60">Crosslinks</h3>
+<h3 id="crosslinks-57">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="lt">lt</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a &lt; b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-53">Definition</h3>
+<h3 id="definition-51">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-10">Derivation</h3>
+<h3 id="derivation-6">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-7">Source</h3>
+<h3 id="source-3">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-51">Discussion</h3>
+<h3 id="discussion-49">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-61">Crosslinks</h3>
+<h3 id="crosslinks-58">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="make_generator">make_generator</h2>
 <p>Basis Function Combinator</p>
 <p>[codireco] ccons</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-54">Definition</h3>
+<h3 id="definition-52">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-11">Derivation</h3>
+<h3 id="derivation-7">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-8">Source</h3>
+<h3 id="source-4">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-52">Discussion</h3>
+<h3 id="discussion-50">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-62">Crosslinks</h3>
+<h3 id="crosslinks-59">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="map">map</h2>
 <p>Basis Function Combinator</p>
 <p>Run the quoted program on TOS on the items in the list under it, push a new list with the results in place of the program and original list.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-55">Definition</h3>
+<h3 id="definition-53">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-12">Derivation</h3>
+<h3 id="derivation-8">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-9">Source</h3>
+<h3 id="source-5">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-53">Discussion</h3>
+<h3 id="discussion-51">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-63">Crosslinks</h3>
+<h3 id="crosslinks-60">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="max">max</h2>
 <p>Basis Function Combinator</p>
 <p>Given a list find the maximum.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-56">Definition</h3>
+<h3 id="definition-54">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-13">Derivation</h3>
+<h3 id="derivation-9">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-10">Source</h3>
+<h3 id="source-6">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-54">Discussion</h3>
+<h3 id="discussion-52">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-64">Crosslinks</h3>
+<h3 id="crosslinks-61">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="min">min</h2>
 <p>Basis Function Combinator</p>
 <p>Given a list find the minimum.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-57">Definition</h3>
+<h3 id="definition-55">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-14">Derivation</h3>
+<h3 id="derivation-10">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-11">Source</h3>
+<h3 id="source-7">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-55">Discussion</h3>
+<h3 id="discussion-53">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-65">Crosslinks</h3>
+<h3 id="crosslinks-62">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="mod">mod</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a % b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-58">Definition</h3>
+<h3 id="definition-56">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-15">Derivation</h3>
+<h3 id="derivation-11">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-12">Source</h3>
+<h3 id="source-8">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-56">Discussion</h3>
+<h3 id="discussion-54">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-66">Crosslinks</h3>
+<h3 id="crosslinks-63">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="modulus">modulus</h2>
@@ -1561,60 +1523,60 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a * b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-59">Definition</h3>
+<h3 id="definition-57">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-16">Derivation</h3>
+<h3 id="derivation-12">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-13">Source</h3>
+<h3 id="source-9">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-57">Discussion</h3>
+<h3 id="discussion-55">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-67">Crosslinks</h3>
+<h3 id="crosslinks-64">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="ne">ne</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a != b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-60">Definition</h3>
+<h3 id="definition-58">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-17">Derivation</h3>
+<h3 id="derivation-13">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-14">Source</h3>
+<h3 id="source-10">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-58">Discussion</h3>
+<h3 id="discussion-56">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-68">Crosslinks</h3>
+<h3 id="crosslinks-65">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="neg">neg</h2>
 <p>Basis Function Combinator</p>
 <p>Same as -a.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-61">Definition</h3>
+<h3 id="definition-59">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-18">Derivation</h3>
+<h3 id="derivation-14">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-15">Source</h3>
+<h3 id="source-11">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-59">Discussion</h3>
+<h3 id="discussion-57">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-69">Crosslinks</h3>
+<h3 id="crosslinks-66">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="not">not</h2>
 <p>Basis Function Combinator</p>
 <p>Same as not a.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-62">Definition</h3>
+<h3 id="definition-60">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-19">Derivation</h3>
+<h3 id="derivation-15">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-16">Source</h3>
+<h3 id="source-12">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-60">Discussion</h3>
+<h3 id="discussion-58">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-70">Crosslinks</h3>
+<h3 id="crosslinks-67">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="section-26">!-</h2>
@@ -1628,22 +1590,22 @@ a F a</code></pre>
    N !-
 ----------  N &gt;= 0
    true</code></pre>
-<h3 id="definition-63">Definition</h3>
+<h3 id="definition-61">Definition</h3>
 <pre><code>0 &gt;=</code></pre>
 <hr />
 <h2 id="nulco">nulco</h2>
 <p>Basis Function Combinator</p>
 <p>[nullary] cons</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-64">Definition</h3>
+<h3 id="definition-62">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-20">Derivation</h3>
+<h3 id="derivation-16">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-17">Source</h3>
+<h3 id="source-13">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-61">Discussion</h3>
+<h3 id="discussion-59">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-71">Crosslinks</h3>
+<h3 id="crosslinks-68">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="nullary">nullary</h2>
@@ -1652,78 +1614,78 @@ a F a</code></pre>
 <pre><code>   ... [P] nullary
 ---------------------
         ... A</code></pre>
-<h3 id="definition-65">Definition</h3>
+<h3 id="definition-63">Definition</h3>
 <pre><code>[stack] dip infra first</code></pre>
-<h3 id="derivation-21">Derivation</h3>
+<h3 id="derivation-17">Derivation</h3>
 <pre><code>... [P] nullary
 ... [P] [stack] dip infra first
 ... stack [P] infra first
 ... [...] [P] infra first
 ... [A ...] first
 ...  A</code></pre>
-<h3 id="discussion-62">Discussion</h3>
+<h3 id="discussion-60">Discussion</h3>
 <p>A very useful function that runs any other quoted function and returns it&#x2019;s first result without disturbing the stack (under the quoted program.)</p>
-<h3 id="crosslinks-72">Crosslinks</h3>
+<h3 id="crosslinks-69">Crosslinks</h3>
 <p><a href="#unary">unary</a> <a href="#binary">binary</a> <a href="#ternary">ternary</a></p>
 <hr />
 <h2 id="of">of</h2>
 <p>Basis Function Combinator</p>
 <p>swap at</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-66">Definition</h3>
+<h3 id="definition-64">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-22">Derivation</h3>
+<h3 id="derivation-18">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-18">Source</h3>
+<h3 id="source-14">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-63">Discussion</h3>
+<h3 id="discussion-61">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-73">Crosslinks</h3>
+<h3 id="crosslinks-70">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="or">or</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a | b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-67">Definition</h3>
+<h3 id="definition-65">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-23">Derivation</h3>
+<h3 id="derivation-19">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-19">Source</h3>
+<h3 id="source-15">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-64">Discussion</h3>
+<h3 id="discussion-62">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-74">Crosslinks</h3>
+<h3 id="crosslinks-71">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="over">over</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a2 a1 -- a2 a1 a2)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-68">Definition</h3>
+<h3 id="definition-66">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-24">Derivation</h3>
+<h3 id="derivation-20">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-20">Source</h3>
+<h3 id="source-16">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-65">Discussion</h3>
+<h3 id="discussion-63">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-75">Crosslinks</h3>
+<h3 id="crosslinks-72">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="pam">pam</h2>
 <p>Basis Function Combinator</p>
 <p>[i] map</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-69">Definition</h3>
+<h3 id="definition-67">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-25">Derivation</h3>
+<h3 id="derivation-21">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-21">Source</h3>
+<h3 id="source-17">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-66">Discussion</h3>
+<h3 id="discussion-64">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-76">Crosslinks</h3>
+<h3 id="crosslinks-73">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="pick">pick</h2>
@@ -1736,150 +1698,150 @@ a F a</code></pre>
 -------------
 a+b a-b</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-70">Definition</h3>
+<h3 id="definition-68">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-26">Derivation</h3>
+<h3 id="derivation-22">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-22">Source</h3>
+<h3 id="source-18">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-67">Discussion</h3>
+<h3 id="discussion-65">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-77">Crosslinks</h3>
+<h3 id="crosslinks-74">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="pop">pop</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 --)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-71">Definition</h3>
+<h3 id="definition-69">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-27">Derivation</h3>
+<h3 id="derivation-23">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-23">Source</h3>
+<h3 id="source-19">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-68">Discussion</h3>
+<h3 id="discussion-66">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-78">Crosslinks</h3>
+<h3 id="crosslinks-75">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="popd">popd</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a2 a1 -- a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-72">Definition</h3>
+<h3 id="definition-70">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-28">Derivation</h3>
+<h3 id="derivation-24">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-24">Source</h3>
+<h3 id="source-20">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-69">Discussion</h3>
+<h3 id="discussion-67">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-79">Crosslinks</h3>
+<h3 id="crosslinks-76">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="popdd">popdd</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a3 a2 a1 -- a2 a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-73">Definition</h3>
+<h3 id="definition-71">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-29">Derivation</h3>
+<h3 id="derivation-25">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-25">Source</h3>
+<h3 id="source-21">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-70">Discussion</h3>
+<h3 id="discussion-68">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-80">Crosslinks</h3>
+<h3 id="crosslinks-77">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="popop">popop</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a2 a1 --)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-74">Definition</h3>
+<h3 id="definition-72">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-30">Derivation</h3>
+<h3 id="derivation-26">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-26">Source</h3>
+<h3 id="source-22">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-71">Discussion</h3>
+<h3 id="discussion-69">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-81">Crosslinks</h3>
+<h3 id="crosslinks-78">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="popopd">popopd</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a3 a2 a1 -- a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-75">Definition</h3>
+<h3 id="definition-73">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-31">Derivation</h3>
+<h3 id="derivation-27">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-27">Source</h3>
+<h3 id="source-23">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-72">Discussion</h3>
+<h3 id="discussion-70">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-82">Crosslinks</h3>
+<h3 id="crosslinks-79">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="popopdd">popopdd</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a4 a3 a2 a1 -- a2 a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-76">Definition</h3>
+<h3 id="definition-74">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-32">Derivation</h3>
+<h3 id="derivation-28">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-28">Source</h3>
+<h3 id="source-24">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-73">Discussion</h3>
+<h3 id="discussion-71">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-83">Crosslinks</h3>
+<h3 id="crosslinks-80">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="popopop">popopop</h2>
 <p>Basis Function Combinator</p>
 <p>pop popop</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-77">Definition</h3>
+<h3 id="definition-75">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-33">Derivation</h3>
+<h3 id="derivation-29">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-29">Source</h3>
+<h3 id="source-25">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-74">Discussion</h3>
+<h3 id="discussion-72">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-84">Crosslinks</h3>
+<h3 id="crosslinks-81">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="pow">pow</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a ** b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-78">Definition</h3>
+<h3 id="definition-76">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-34">Derivation</h3>
+<h3 id="derivation-30">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-30">Source</h3>
+<h3 id="source-26">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-75">Discussion</h3>
+<h3 id="discussion-73">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-85">Crosslinks</h3>
+<h3 id="crosslinks-82">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="pred">pred</h2>
 <p>Basis Function Combinator</p>
 <p>Decrement TOS.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-79">Definition</h3>
+<h3 id="definition-77">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-35">Derivation</h3>
+<h3 id="derivation-31">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-31">Source</h3>
+<h3 id="source-27">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-76">Discussion</h3>
+<h3 id="discussion-74">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-86">Crosslinks</h3>
+<h3 id="crosslinks-83">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="primrec">primrec</h2>
@@ -1898,90 +1860,90 @@ a+b a-b</code></pre>
 ------------------------------------------ n &gt; 0
    n (n-1) [Base] [Recur] primrec Recur</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-80">Definition</h3>
+<h3 id="definition-78">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-36">Derivation</h3>
+<h3 id="derivation-32">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-32">Source</h3>
+<h3 id="source-28">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-77">Discussion</h3>
+<h3 id="discussion-75">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-87">Crosslinks</h3>
+<h3 id="crosslinks-84">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="product">product</h2>
 <p>Basis Function Combinator</p>
 <p>1 swap [*] step</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-81">Definition</h3>
+<h3 id="definition-79">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-37">Derivation</h3>
+<h3 id="derivation-33">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-33">Source</h3>
+<h3 id="source-29">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-78">Discussion</h3>
+<h3 id="discussion-76">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-88">Crosslinks</h3>
+<h3 id="crosslinks-85">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="quoted">quoted</h2>
 <p>Basis Function Combinator</p>
 <p>[unit] dip</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-82">Definition</h3>
+<h3 id="definition-80">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-38">Derivation</h3>
+<h3 id="derivation-34">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-34">Source</h3>
+<h3 id="source-30">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-79">Discussion</h3>
+<h3 id="discussion-77">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-89">Crosslinks</h3>
+<h3 id="crosslinks-86">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="range">range</h2>
 <p>Basis Function Combinator</p>
 <p>[0 &lt;=] [1 - dup] anamorphism</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-83">Definition</h3>
+<h3 id="definition-81">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-39">Derivation</h3>
+<h3 id="derivation-35">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-35">Source</h3>
+<h3 id="source-31">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-80">Discussion</h3>
+<h3 id="discussion-78">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-90">Crosslinks</h3>
+<h3 id="crosslinks-87">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="range_to_zero">range_to_zero</h2>
 <p>Basis Function Combinator</p>
 <p>unit [down_to_zero] infra</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-84">Definition</h3>
+<h3 id="definition-82">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-40">Derivation</h3>
+<h3 id="derivation-36">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-36">Source</h3>
+<h3 id="source-32">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-81">Discussion</h3>
+<h3 id="discussion-79">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-91">Crosslinks</h3>
+<h3 id="crosslinks-88">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="reco">reco</h2>
 <p>Basis Function Combinator</p>
 <p>rest cons</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-85">Definition</h3>
+<h3 id="definition-83">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-41">Derivation</h3>
+<h3 id="derivation-37">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-37">Source</h3>
+<h3 id="source-33">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-82">Discussion</h3>
+<h3 id="discussion-80">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-92">Crosslinks</h3>
+<h3 id="crosslinks-89">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="rem">rem</h2>
@@ -1997,30 +1959,30 @@ a+b a-b</code></pre>
 ------------------------
   [2 3 1]</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-86">Definition</h3>
+<h3 id="definition-84">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-42">Derivation</h3>
+<h3 id="derivation-38">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-38">Source</h3>
+<h3 id="source-34">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-83">Discussion</h3>
+<h3 id="discussion-81">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-93">Crosslinks</h3>
+<h3 id="crosslinks-90">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="rest">rest</h2>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 ...0] -- [...0])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-87">Definition</h3>
+<h3 id="definition-85">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-43">Derivation</h3>
+<h3 id="derivation-39">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-39">Source</h3>
+<h3 id="source-35">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-84">Discussion</h3>
+<h3 id="discussion-82">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-94">Crosslinks</h3>
+<h3 id="crosslinks-91">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="reverse">reverse</h2>
@@ -2028,45 +1990,45 @@ a+b a-b</code></pre>
 <p>Reverse the list on the top of the stack. :</p>
 <pre><code>reverse == [] swap shunt</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-88">Definition</h3>
+<h3 id="definition-86">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-44">Derivation</h3>
+<h3 id="derivation-40">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-40">Source</h3>
+<h3 id="source-36">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-85">Discussion</h3>
+<h3 id="discussion-83">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-95">Crosslinks</h3>
+<h3 id="crosslinks-92">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="rolldown">rolldown</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 a2 a3 -- a2 a3 a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-89">Definition</h3>
+<h3 id="definition-87">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-45">Derivation</h3>
+<h3 id="derivation-41">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-41">Source</h3>
+<h3 id="source-37">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-86">Discussion</h3>
+<h3 id="discussion-84">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-96">Crosslinks</h3>
+<h3 id="crosslinks-93">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="rollup">rollup</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 a2 a3 -- a3 a1 a2)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-90">Definition</h3>
+<h3 id="definition-88">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-46">Derivation</h3>
+<h3 id="derivation-42">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-42">Source</h3>
+<h3 id="source-38">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-87">Discussion</h3>
+<h3 id="discussion-85">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-97">Crosslinks</h3>
+<h3 id="crosslinks-94">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="roll">roll&gt;</h2>
@@ -2080,75 +2042,75 @@ a+b a-b</code></pre>
 <p>Round a number to a given precision in decimal digits.</p>
 <p>The return value is an integer if ndigits is omitted or None. Otherwise the return value has the same type as the number. ndigits may be negative.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-91">Definition</h3>
+<h3 id="definition-89">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-47">Derivation</h3>
+<h3 id="derivation-43">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-43">Source</h3>
+<h3 id="source-39">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-88">Discussion</h3>
+<h3 id="discussion-86">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-98">Crosslinks</h3>
+<h3 id="crosslinks-95">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="rrest">rrest</h2>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 a2 ...1] -- [...1])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-92">Definition</h3>
+<h3 id="definition-90">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-48">Derivation</h3>
+<h3 id="derivation-44">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-44">Source</h3>
+<h3 id="source-40">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-89">Discussion</h3>
+<h3 id="discussion-87">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-99">Crosslinks</h3>
+<h3 id="crosslinks-96">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="rshift">rshift</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a &gt;&gt; b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-93">Definition</h3>
+<h3 id="definition-91">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-49">Derivation</h3>
+<h3 id="derivation-45">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-45">Source</h3>
+<h3 id="source-41">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-90">Discussion</h3>
+<h3 id="discussion-88">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-100">Crosslinks</h3>
+<h3 id="crosslinks-97">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="run">run</h2>
 <p>Basis Function Combinator</p>
 <p>&lt;{} infra</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-94">Definition</h3>
+<h3 id="definition-92">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-50">Derivation</h3>
+<h3 id="derivation-46">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-46">Source</h3>
+<h3 id="source-42">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-91">Discussion</h3>
+<h3 id="discussion-89">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-101">Crosslinks</h3>
+<h3 id="crosslinks-98">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="second">second</h2>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 a2 ...1] -- a2)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-95">Definition</h3>
+<h3 id="definition-93">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-51">Derivation</h3>
+<h3 id="derivation-47">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-47">Source</h3>
+<h3 id="source-43">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-92">Discussion</h3>
+<h3 id="discussion-90">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-102">Crosslinks</h3>
+<h3 id="crosslinks-99">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="select">select</h2>
@@ -2164,45 +2126,45 @@ a+b a-b</code></pre>
    B</code></pre>
 <p>The sequence can contain more than two items but not fewer. Currently Python semantics are used to evaluate the "truthiness" of the Boolean value (so empty string, zero, etc. are counted as false, etc.)</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-96">Definition</h3>
+<h3 id="definition-94">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-52">Derivation</h3>
+<h3 id="derivation-48">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-48">Source</h3>
+<h3 id="source-44">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-93">Discussion</h3>
+<h3 id="discussion-91">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-103">Crosslinks</h3>
+<h3 id="crosslinks-100">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="sharing">sharing</h2>
 <p>Basis Function Combinator</p>
 <p>Print redistribution information.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-97">Definition</h3>
+<h3 id="definition-95">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-53">Derivation</h3>
+<h3 id="derivation-49">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-49">Source</h3>
+<h3 id="source-45">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-94">Discussion</h3>
+<h3 id="discussion-92">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-104">Crosslinks</h3>
+<h3 id="crosslinks-101">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="shift">shift</h2>
 <p>Basis Function Combinator</p>
 <p>uncons [swons] dip</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-98">Definition</h3>
+<h3 id="definition-96">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-54">Derivation</h3>
+<h3 id="derivation-50">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-50">Source</h3>
+<h3 id="source-46">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-95">Discussion</h3>
+<h3 id="discussion-93">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-105">Crosslinks</h3>
+<h3 id="crosslinks-102">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="shunt">shunt</h2>
@@ -2214,150 +2176,150 @@ a+b a-b</code></pre>
 ---------------------------
        [f e d a b c] </code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-99">Definition</h3>
+<h3 id="definition-97">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-55">Derivation</h3>
+<h3 id="derivation-51">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-51">Source</h3>
+<h3 id="source-47">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-96">Discussion</h3>
+<h3 id="discussion-94">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-106">Crosslinks</h3>
+<h3 id="crosslinks-103">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="size">size</h2>
 <p>Basis Function Combinator</p>
 <p>[pop ++] step_zero</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-100">Definition</h3>
+<h3 id="definition-98">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-56">Derivation</h3>
+<h3 id="derivation-52">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-52">Source</h3>
+<h3 id="source-48">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-97">Discussion</h3>
+<h3 id="discussion-95">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-107">Crosslinks</h3>
+<h3 id="crosslinks-104">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="sort">sort</h2>
 <p>Basis Function Combinator</p>
 <p>Given a list return it sorted.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-101">Definition</h3>
+<h3 id="definition-99">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-57">Derivation</h3>
+<h3 id="derivation-53">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-53">Source</h3>
+<h3 id="source-49">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-98">Discussion</h3>
+<h3 id="discussion-96">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-108">Crosslinks</h3>
+<h3 id="crosslinks-105">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="spiral_next">spiral_next</h2>
 <p>Basis Function Combinator</p>
 <p>[[[abs] ii &lt;=] [[&lt;&gt;] [pop !-] ||] &amp;&amp;] [[!-] [[++]] [[--]] ifte dip] [[pop !-] [--] [++] ifte] ifte</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-102">Definition</h3>
+<h3 id="definition-100">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-58">Derivation</h3>
+<h3 id="derivation-54">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-54">Source</h3>
+<h3 id="source-50">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-99">Discussion</h3>
+<h3 id="discussion-97">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-109">Crosslinks</h3>
+<h3 id="crosslinks-106">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="split_at">split_at</h2>
 <p>Basis Function Combinator</p>
 <p>[drop] [take] clop</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-103">Definition</h3>
+<h3 id="definition-101">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-59">Derivation</h3>
+<h3 id="derivation-55">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-55">Source</h3>
+<h3 id="source-51">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-100">Discussion</h3>
+<h3 id="discussion-98">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-110">Crosslinks</h3>
+<h3 id="crosslinks-107">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="split_list">split_list</h2>
 <p>Basis Function Combinator</p>
 <p>[take reverse] [drop] clop</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-104">Definition</h3>
+<h3 id="definition-102">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-60">Derivation</h3>
+<h3 id="derivation-56">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-56">Source</h3>
+<h3 id="source-52">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-101">Discussion</h3>
+<h3 id="discussion-99">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-111">Crosslinks</h3>
+<h3 id="crosslinks-108">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="sqr">sqr</h2>
 <p>Basis Function Combinator</p>
 <p>dup *</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-105">Definition</h3>
+<h3 id="definition-103">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-61">Derivation</h3>
+<h3 id="derivation-57">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-57">Source</h3>
+<h3 id="source-53">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-102">Discussion</h3>
+<h3 id="discussion-100">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-112">Crosslinks</h3>
+<h3 id="crosslinks-109">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="sqrt">sqrt</h2>
 <p>Basis Function Combinator</p>
 <p>Return the square root of the number a. Negative numbers return complex roots.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-106">Definition</h3>
+<h3 id="definition-104">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-62">Derivation</h3>
+<h3 id="derivation-58">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-58">Source</h3>
+<h3 id="source-54">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-103">Discussion</h3>
+<h3 id="discussion-101">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-113">Crosslinks</h3>
+<h3 id="crosslinks-110">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="stack">stack</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(... -- ... [...])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-107">Definition</h3>
+<h3 id="definition-105">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-63">Derivation</h3>
+<h3 id="derivation-59">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-59">Source</h3>
+<h3 id="source-55">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-104">Discussion</h3>
+<h3 id="discussion-102">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-114">Crosslinks</h3>
+<h3 id="crosslinks-111">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="stackd">stackd</h2>
 <p>Basis Function Combinator</p>
 <p>[stack] dip</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-108">Definition</h3>
+<h3 id="definition-106">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-64">Derivation</h3>
+<h3 id="derivation-60">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-60">Source</h3>
+<h3 id="source-56">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-105">Discussion</h3>
+<h3 id="discussion-103">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-115">Crosslinks</h3>
+<h3 id="crosslinks-112">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="step">step</h2>
@@ -2378,90 +2340,90 @@ a+b a-b</code></pre>
       ... a . Q [b c] [Q] step</code></pre>
 <p>The step combinator executes the quotation on each member of the list on top of the stack.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-109">Definition</h3>
+<h3 id="definition-107">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-65">Derivation</h3>
+<h3 id="derivation-61">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-61">Source</h3>
+<h3 id="source-57">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-106">Discussion</h3>
+<h3 id="discussion-104">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-116">Crosslinks</h3>
+<h3 id="crosslinks-113">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="step_zero">step_zero</h2>
 <p>Basis Function Combinator</p>
 <p>0 roll&gt; step</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-110">Definition</h3>
+<h3 id="definition-108">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-66">Derivation</h3>
+<h3 id="derivation-62">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-62">Source</h3>
+<h3 id="source-58">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-107">Discussion</h3>
+<h3 id="discussion-105">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-117">Crosslinks</h3>
+<h3 id="crosslinks-114">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="stuncons">stuncons</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(... a1 -- ... a1 a1 [...])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-111">Definition</h3>
+<h3 id="definition-109">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-67">Derivation</h3>
+<h3 id="derivation-63">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-63">Source</h3>
+<h3 id="source-59">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-108">Discussion</h3>
+<h3 id="discussion-106">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-118">Crosslinks</h3>
+<h3 id="crosslinks-115">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="stununcons">stununcons</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(... a2 a1 -- ... a2 a1 a1 a2 [...])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-112">Definition</h3>
+<h3 id="definition-110">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-68">Derivation</h3>
+<h3 id="derivation-64">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-64">Source</h3>
+<h3 id="source-60">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-109">Discussion</h3>
+<h3 id="discussion-107">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-119">Crosslinks</h3>
+<h3 id="crosslinks-116">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="sub">sub</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a - b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-113">Definition</h3>
+<h3 id="definition-111">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-69">Derivation</h3>
+<h3 id="derivation-65">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-65">Source</h3>
+<h3 id="source-61">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-110">Discussion</h3>
+<h3 id="discussion-108">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-120">Crosslinks</h3>
+<h3 id="crosslinks-117">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="succ">succ</h2>
 <p>Basis Function Combinator</p>
 <p>Increment TOS.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-114">Definition</h3>
+<h3 id="definition-112">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-70">Derivation</h3>
+<h3 id="derivation-66">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-66">Source</h3>
+<h3 id="source-62">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-111">Discussion</h3>
+<h3 id="discussion-109">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-121">Crosslinks</h3>
+<h3 id="crosslinks-118">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="sum">sum</h2>
@@ -2469,105 +2431,105 @@ a+b a-b</code></pre>
 <p>Given a quoted sequence of numbers return the sum. :</p>
 <pre><code>sum == 0 swap [+] step</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-115">Definition</h3>
+<h3 id="definition-113">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-71">Derivation</h3>
+<h3 id="derivation-67">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-67">Source</h3>
+<h3 id="source-63">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-112">Discussion</h3>
+<h3 id="discussion-110">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-122">Crosslinks</h3>
+<h3 id="crosslinks-119">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="swaack">swaack</h2>
 <p>Basis Function Combinator</p>
 <pre><code>([...1] -- [...0])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-116">Definition</h3>
+<h3 id="definition-114">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-72">Derivation</h3>
+<h3 id="derivation-68">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-68">Source</h3>
+<h3 id="source-64">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-113">Discussion</h3>
+<h3 id="discussion-111">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-123">Crosslinks</h3>
+<h3 id="crosslinks-120">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="swap">swap</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 a2 -- a2 a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-117">Definition</h3>
+<h3 id="definition-115">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-73">Derivation</h3>
+<h3 id="derivation-69">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-69">Source</h3>
+<h3 id="source-65">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-114">Discussion</h3>
+<h3 id="discussion-112">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-124">Crosslinks</h3>
+<h3 id="crosslinks-121">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="swapd">swapd</h2>
 <p>Basis Function Combinator</p>
 <p>[swap] dip</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-118">Definition</h3>
+<h3 id="definition-116">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-74">Derivation</h3>
+<h3 id="derivation-70">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-70">Source</h3>
+<h3 id="source-66">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-115">Discussion</h3>
+<h3 id="discussion-113">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-125">Crosslinks</h3>
+<h3 id="crosslinks-122">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="swoncat">swoncat</h2>
 <p>Basis Function Combinator</p>
 <p>swap concat</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-119">Definition</h3>
+<h3 id="definition-117">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-75">Derivation</h3>
+<h3 id="derivation-71">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-71">Source</h3>
+<h3 id="source-67">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-116">Discussion</h3>
+<h3 id="discussion-114">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-126">Crosslinks</h3>
+<h3 id="crosslinks-123">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="swons">swons</h2>
 <p>Basis Function Combinator</p>
 <pre><code>([...1] a1 -- [a1 ...1])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-120">Definition</h3>
+<h3 id="definition-118">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-76">Derivation</h3>
+<h3 id="derivation-72">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-72">Source</h3>
+<h3 id="source-68">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-117">Discussion</h3>
+<h3 id="discussion-115">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-127">Crosslinks</h3>
+<h3 id="crosslinks-124">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="tailrec">tailrec</h2>
 <p>Basis Function Combinator</p>
 <p>[i] genrec</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-121">Definition</h3>
+<h3 id="definition-119">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-77">Derivation</h3>
+<h3 id="derivation-73">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-73">Source</h3>
+<h3 id="source-69">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-118">Discussion</h3>
+<h3 id="discussion-116">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-128">Crosslinks</h3>
+<h3 id="crosslinks-125">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="take">take</h2>
@@ -2577,15 +2539,15 @@ a+b a-b</code></pre>
 ----------------------
     [b a]</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-122">Definition</h3>
+<h3 id="definition-120">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-78">Derivation</h3>
+<h3 id="derivation-74">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-74">Source</h3>
+<h3 id="source-70">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-119">Discussion</h3>
+<h3 id="discussion-117">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-129">Crosslinks</h3>
+<h3 id="crosslinks-126">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="ternary">ternary</h2>
@@ -2594,26 +2556,26 @@ a+b a-b</code></pre>
 <pre><code>   ... z y x [P] unary
 -------------------------
          ... A</code></pre>
-<h3 id="definition-123">Definition</h3>
+<h3 id="definition-121">Definition</h3>
 <pre><code>binary popd</code></pre>
-<h3 id="discussion-120">Discussion</h3>
+<h3 id="discussion-118">Discussion</h3>
 <p>Runs any other quoted function and returns its first result while consuming exactly three items from the stack.</p>
-<h3 id="crosslinks-130">Crosslinks</h3>
+<h3 id="crosslinks-127">Crosslinks</h3>
 <p><a href="#binary">binary</a> <a href="#nullary">nullary</a> <a href="#unary">unary</a></p>
 <hr />
 <h2 id="third">third</h2>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 a2 a3 ...1] -- a3)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-124">Definition</h3>
+<h3 id="definition-122">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-79">Derivation</h3>
+<h3 id="derivation-75">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-75">Source</h3>
+<h3 id="source-71">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-121">Discussion</h3>
+<h3 id="discussion-119">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-131">Crosslinks</h3>
+<h3 id="crosslinks-128">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="times">times</h2>
@@ -2633,15 +2595,15 @@ a+b a-b</code></pre>
 -------------------------------------  w/ n &gt; 1
   ... . Q (n - 1) [Q] times</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-125">Definition</h3>
+<h3 id="definition-123">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-80">Derivation</h3>
+<h3 id="derivation-76">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-76">Source</h3>
+<h3 id="source-72">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-122">Discussion</h3>
+<h3 id="discussion-120">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-132">Crosslinks</h3>
+<h3 id="crosslinks-129">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="truthy">truthy</h2>
@@ -2651,15 +2613,15 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a2 a1 -- a1 a2 a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-126">Definition</h3>
+<h3 id="definition-124">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-81">Derivation</h3>
+<h3 id="derivation-77">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-77">Source</h3>
+<h3 id="source-73">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-123">Discussion</h3>
+<h3 id="discussion-121">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-133">Crosslinks</h3>
+<h3 id="crosslinks-130">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="unary">unary</h2>
@@ -2668,11 +2630,11 @@ a+b a-b</code></pre>
 <pre><code>   ... x [P] unary
 ---------------------
        ... A</code></pre>
-<h3 id="definition-127">Definition</h3>
+<h3 id="definition-125">Definition</h3>
 <pre><code>nullary popd</code></pre>
-<h3 id="discussion-124">Discussion</h3>
+<h3 id="discussion-122">Discussion</h3>
 <p>Runs any other quoted function and returns its first result while consuming exactly one item from the stack.</p>
-<h3 id="crosslinks-134">Crosslinks</h3>
+<h3 id="crosslinks-131">Crosslinks</h3>
 <p><a href="#binary">binary</a> <a href="#nullary">nullary</a> <a href="#ternary">ternary</a></p>
 <hr />
 <h2 id="uncons">uncons</h2>
@@ -2681,131 +2643,131 @@ a+b a-b</code></pre>
 <pre><code>   [A ...] uncons
 --------------------
       A [...]</code></pre>
-<h3 id="source-78">Source</h3>
+<h3 id="source-74">Source</h3>
 <pre><code>func(uncons, Si, So) :- func(cons, So, Si).</code></pre>
-<h3 id="discussion-125">Discussion</h3>
+<h3 id="discussion-123">Discussion</h3>
 <p>This is the inverse of <code>cons</code>.</p>
-<h3 id="crosslinks-135">Crosslinks</h3>
+<h3 id="crosslinks-132">Crosslinks</h3>
 <p><a href="#cons">cons</a></p>
 <hr />
 <h2 id="unique">unique</h2>
 <p>Basis Function Combinator</p>
 <p>Given a list remove duplicate items.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-128">Definition</h3>
+<h3 id="definition-126">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-82">Derivation</h3>
+<h3 id="derivation-78">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-79">Source</h3>
+<h3 id="source-75">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-126">Discussion</h3>
+<h3 id="discussion-124">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-136">Crosslinks</h3>
+<h3 id="crosslinks-133">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="unit">unit</h2>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 -- [a1 ])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-129">Definition</h3>
+<h3 id="definition-127">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-83">Derivation</h3>
+<h3 id="derivation-79">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-80">Source</h3>
+<h3 id="source-76">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-127">Discussion</h3>
+<h3 id="discussion-125">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-137">Crosslinks</h3>
+<h3 id="crosslinks-134">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="unquoted">unquoted</h2>
 <p>Basis Function Combinator</p>
 <p>[i] dip</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-130">Definition</h3>
+<h3 id="definition-128">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-84">Derivation</h3>
+<h3 id="derivation-80">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-81">Source</h3>
+<h3 id="source-77">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-128">Discussion</h3>
+<h3 id="discussion-126">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-138">Crosslinks</h3>
+<h3 id="crosslinks-135">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="unswons">unswons</h2>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 ...1] -- [...1] a1)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-131">Definition</h3>
+<h3 id="definition-129">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-85">Derivation</h3>
+<h3 id="derivation-81">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-82">Source</h3>
+<h3 id="source-78">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-129">Discussion</h3>
+<h3 id="discussion-127">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-139">Crosslinks</h3>
+<h3 id="crosslinks-136">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="void">void</h2>
 <p>Basis Function Combinator</p>
 <p>True if the form on TOS is void otherwise False.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-132">Definition</h3>
+<h3 id="definition-130">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-86">Derivation</h3>
+<h3 id="derivation-82">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-83">Source</h3>
+<h3 id="source-79">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-130">Discussion</h3>
+<h3 id="discussion-128">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-140">Crosslinks</h3>
+<h3 id="crosslinks-137">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="warranty">warranty</h2>
 <p>Basis Function Combinator</p>
 <p>Print warranty information.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-133">Definition</h3>
+<h3 id="definition-131">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-87">Derivation</h3>
+<h3 id="derivation-83">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-84">Source</h3>
+<h3 id="source-80">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-131">Discussion</h3>
+<h3 id="discussion-129">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-141">Crosslinks</h3>
+<h3 id="crosslinks-138">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="while">while</h2>
 <p>Basis Function Combinator</p>
 <p>swap nulco dupdipd concat loop</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-134">Definition</h3>
+<h3 id="definition-132">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-88">Derivation</h3>
+<h3 id="derivation-84">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-85">Source</h3>
+<h3 id="source-81">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-132">Discussion</h3>
+<h3 id="discussion-130">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-142">Crosslinks</h3>
+<h3 id="crosslinks-139">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="words">words</h2>
 <p>Basis Function Combinator</p>
 <p>Print all the words in alphabetical order.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-135">Definition</h3>
+<h3 id="definition-133">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-89">Derivation</h3>
+<h3 id="derivation-85">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-86">Source</h3>
+<h3 id="source-82">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-133">Discussion</h3>
+<h3 id="discussion-131">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-143">Crosslinks</h3>
+<h3 id="crosslinks-140">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="x">x</h2>
@@ -2813,39 +2775,39 @@ a+b a-b</code></pre>
 <pre><code>   [F] x
 -----------
    [F] F</code></pre>
-<h3 id="definition-136">Definition</h3>
+<h3 id="definition-134">Definition</h3>
 <pre><code>dup i</code></pre>
-<h3 id="discussion-134">Discussion</h3>
+<h3 id="discussion-132">Discussion</h3>
 <p>The <code>x</code> combinator &#x2026;</p>
 <hr />
 <h2 id="xor">xor</h2>
 <p>Basis Function Combinator</p>
 <p>Same as a ^ b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-137">Definition</h3>
+<h3 id="definition-135">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-90">Derivation</h3>
+<h3 id="derivation-86">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-87">Source</h3>
+<h3 id="source-83">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-135">Discussion</h3>
+<h3 id="discussion-133">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-144">Crosslinks</h3>
+<h3 id="crosslinks-141">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 <hr />
 <h2 id="zip">zip</h2>
 <p>Basis Function Combinator</p>
 <p>Replace the two lists on the top of the stack with a list of the pairs from each list. The smallest list sets the length of the result list.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-138">Definition</h3>
+<h3 id="definition-136">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-91">Derivation</h3>
+<h3 id="derivation-87">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-88">Source</h3>
+<h3 id="source-84">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-136">Discussion</h3>
+<h3 id="discussion-134">Discussion</h3>
 <p>Lorem ipsum.</p>
-<h3 id="crosslinks-145">Crosslinks</h3>
+<h3 id="crosslinks-142">Crosslinks</h3>
 <p>Lorem ipsum.</p>
 </body>
 </html>

diff --git a/docs/reference/mkref/Functor-Reference.md b/docs/reference/mkref/Functor-Reference.md
index d5e089b..68e8111 100644 (file)
--- a/docs/reference/mkref/Functor-Reference.md
+++ b/docs/reference/mkref/Functor-Reference.md
@@ -1842,7 +1842,7 @@ item on the top of the stack is a quoted symbol.
 Function
 
              x y hypot
-    --------------------------
+    ---------------------------
        sqrt(sqr(x) + sqr(y))
 
 ### Definition
@@ -1881,75 +1881,35 @@ example, the [x] combinator can be defined as `dup i`.
 
 ## id
 
-Basis Function Combinator
+Basis Function
 
 The identity function.
 
-Gentzen diagram.
-
-### Definition
-
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
-
 ### Discussion
 
-Lorem ipsum.
-
-### Crosslinks
-
-Lorem ipsum.
+Does nothing.  It's kind of a mathematical thing, but it occasionally comes in handy.
 
 ------------------------------------------------------------------------
 
 ## ifte
 
-Basis Function Combinator
-
-If-Then-Else Combinator :
-
-    ... [if] [then] [else] ifte
-    ---------------------------------------------------
-    ... [[else] [then]] [...] [if] infra select i
-
-
-
-
-    ... [if] [then] [else] ifte
-    -------------------------------------------------------
-    ... [else] [then] [...] [if] infra first choice i
+Combinator
 
-Has the effect of grabbing a copy of the stack on which to run the
-if-part using infra.
+If-Then-Else combinator, a common and convenient specialization of [branch].
 
-Gentzen diagram.
+            [if] [then] [else] ifte
+    ---------------------------------------
+       [if] nullary [else] [then] branch
 
 ### Definition
 
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
-
-### Discussion
-
-Lorem ipsum.
+> \[[nullary]\] [dipd] [swap] [branch]
 
 ### Crosslinks
 
-Lorem ipsum.
+[branch]
+[loop]
+[while]
 
 ------------------------------------------------------------------------
 
@@ -2003,19 +1963,18 @@ In some cases (like the example above) this is the same effect as using [app2] b
 
 ## infra
 
-(Combinator)
+Combinator
 
 Accept a quoted program and a list on the stack and run the program with
 the list as its stack.  Does not affect the stack (below the list.)
 
-       ... [a b c] [Q] infra
-    ---------------------------
-        c b a Q [...] swaack
+       ... x y z [a b c] [Q] infra
+    ---------------------------------
+        c b a Q [z y x ...] swaack
 
 ### Definition
 
-    swons swaack [i] dip swaack
-
+> [swons] [swaack] \[[i]\] [dip] [swaack]
 
 ### Discussion
 
@@ -2033,65 +1992,33 @@ kind of "pocket universe".  If the list represents a datastructure then
 
 ## infrst
 
-Basis Function Combinator
-
-infra first
+Combinator
 
-Gentzen diagram.
+Does [infra] and then extracts the [first] item from the resulting list.
 
 ### Definition
 
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
-
-### Discussion
-
-Lorem ipsum.
-
-### Crosslinks
+> [infra] [first]
 
-Lorem ipsum.
 
 ------------------------------------------------------------------------
 
 ## inscribe
 
-Basis Function Combinator
-
 Create a new Joy function definition in the Joy dictionary. A definition
-is given as a quote with a name followed by a Joy expression. for
-example:
-
-> \[sqr dup mul\] inscribe
-
-Gentzen diagram.
-
-### Definition
-
-if not basis.
+is given as a quote with a name followed by a Joy expression.
 
-### Derivation
-
-if not basis.
+### Example
 
-### Source
-
-if basis
+    [sqr dup mul] inscribe
 
 ### Discussion
 
-Lorem ipsum.
+This is the only function that modifies the dictionary.  It's provided as a 
+convenience, for tinkering with new definitions before entering them into
+the `defs.txt` file.  It can be abused, which you should avoid unless you
+know what you're doing.
 
-### Crosslinks
-
-Lorem ipsum.
 
 ------------------------------------------------------------------------