Two L's.

diff --git a/docs/reference/le.md b/docs/reference/le.md
index 9b9d5a5..cc95121 100644 (file)
--- a/docs/reference/le.md
+++ b/docs/reference/le.md
@@ -2,28 +2,22 @@
 
 ## le
 
-Basis Function Combinator
+Basis Function
 
-Same as a \<= b.
 
-Gentzen diagram.
+Less-Than-or-Equal-to comparison of the two items on the top of the
+stack, replacing them with a Boolean value.
 
-### Definition
-
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
-
-if basis
-
-### Discussion
-
-Lorem ipsum.
+       a b eq
+    -------------
+       Boolean
+       (a <= b)
 
 ### Crosslinks
 
-Lorem ipsum.
+[cmp]
+[eq]
+[ge]
+[gt]
+[lt]
+[ne]

diff --git a/docs/reference/loop.md b/docs/reference/loop.md
index fa661fa..c6a6cf5 100644 (file)
--- a/docs/reference/loop.md
+++ b/docs/reference/loop.md
@@ -2,36 +2,35 @@
 
 ## loop
 
-Basis Function Combinator
+Basis Combinator
 
-Basic loop combinator. :
+Expect a quoted program `Q` and a Boolean value on the stack.  If the value is false
+discard the quoted program, otherwise run a copy of `Q` and `loop` again.
 
-    ... True [Q] loop
-    -----------------------
-       ... Q [Q] loop
+       false [Q] loop
+    --------------------
 
-    ... False [Q] loop
-    ------------------------
-       ...
 
-Gentzen diagram.
+       true [Q] . loop
+    --------------------------
+                . Q [Q] loop
 
-### Definition
-
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
+### Discussion
 
-if basis
+This, along with [branch] and [fork], is one of the four main combinators
+of all programming.  The fourth, sequence, is implied by juxtaposition.
+That is to say, in Joy `F G` is like `G(F(...))` in a language bassed on
+function application.  Or again, to quote the [Joy Wikipedia
+entry](https://en.wikipedia.org/wiki/Joy_(programming_language)#Mathematical_purity),
 
-### Discussion
+> In Joy, the meaning function is a homomorphism from the syntactic monoid onto the semantic monoid. That is, the syntactic relation of concatenation of symbols maps directly onto the semantic relation of composition of functions.
 
-Lorem ipsum.
+Anyway, [branch], [fork], amd [loop] are the fundamental combinators in Joy.
+Just as [branch] has it's more common and convenient form [ifte],
+[loop] has [while].
 
 ### Crosslinks
 
-Lorem ipsum.
+[branch]
+[fork]
+[while]

diff --git a/docs/reference/mkref/FuncRef.html b/docs/reference/mkref/FuncRef.html
index c78dba0..33010a3 100644 (file)
--- a/docs/reference/mkref/FuncRef.html
+++ b/docs/reference/mkref/FuncRef.html
@@ -1375,53 +1375,45 @@ a F a</code></pre>
 <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-48">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-46">Discussion</h3>
-<p>Lorem ipsum.</p>
+<p>Basis Function</p>
+<p>Less-Than-or-Equal-to comparison of the two items on the top of the stack, replacing them with a Boolean value.</p>
+<pre><code>   a b eq
+-------------
+   Boolean
+   (a &lt;= b)</code></pre>
 <h3 id="crosslinks-55">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p><a href="#cmp">cmp</a> <a href="#eq">eq</a> <a href="#ge">ge</a> <a href="#gt">gt</a> <a href="#lt">lt</a> <a href="#ne">ne</a></p>
 <hr />
 <h2 id="loop">loop</h2>
-<p>Basis Function Combinator</p>
-<p>Basic loop combinator. :</p>
-<pre><code>... True [Q] loop
------------------------
-   ... Q [Q] loop
+<p>Basis Combinator</p>
+<p>Expect a quoted program <code>Q</code> and a Boolean value on the stack. If the value is false discard the quoted program, otherwise run a copy of <code>Q</code> and <code>loop</code> again.</p>
+<pre><code>   false [Q] loop
+--------------------
 
-... False [Q] loop
-------------------------
-   ...</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-49">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-47">Discussion</h3>
-<p>Lorem ipsum.</p>
+
+   true [Q] . loop
+--------------------------
+            . Q [Q] loop</code></pre>
+<h3 id="discussion-46">Discussion</h3>
+<p>This, along with <a href="#branch">branch</a> and <a href="#fork">fork</a>, is one of the four main combinators of all programming. The fourth, sequence, is implied by juxtaposition. That is to say, in Joy <code>F G</code> is like <code>G(F(...))</code> in a language bassed on function application. Or again, to quote the <a href="https://en.wikipedia.org/wiki/Joy_(programming_language)#Mathematical_purity">Joy Wikipedia entry</a>,</p>
+<blockquote>
+<p>In Joy, the meaning function is a homomorphism from the syntactic monoid onto the semantic monoid. That is, the syntactic relation of concatenation of symbols maps directly onto the semantic relation of composition of functions.</p>
+</blockquote>
+<p>Anyway, <a href="#branch">branch</a>, <a href="#fork">fork</a>, amd <a href="#loop">loop</a> are the fundamental combinators in Joy. Just as <a href="#branch">branch</a> has it&#x2019;s more common and convenient form <a href="#ifte">ifte</a>, <a href="#loop">loop</a> has <a href="#while">while</a>.</p>
 <h3 id="crosslinks-56">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p><a href="#branch">branch</a> <a href="#fork">fork</a> <a href="#while">while</a></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-50">Definition</h3>
+<h3 id="definition-48">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-5">Derivation</h3>
+<h3 id="derivation-3">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-2">Source</h3>
+<h3 id="source">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-48">Discussion</h3>
+<h3 id="discussion-47">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-57">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1430,13 +1422,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a &lt; b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-51">Definition</h3>
+<h3 id="definition-49">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-6">Derivation</h3>
+<h3 id="derivation-4">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-3">Source</h3>
+<h3 id="source-1">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-49">Discussion</h3>
+<h3 id="discussion-48">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-58">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1445,13 +1437,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>[codireco] ccons</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-7">Derivation</h3>
+<h3 id="derivation-5">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-4">Source</h3>
+<h3 id="source-2">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-50">Discussion</h3>
+<h3 id="discussion-49">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-59">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1460,13 +1452,13 @@ a F a</code></pre>
 <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-53">Definition</h3>
+<h3 id="definition-51">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-8">Derivation</h3>
+<h3 id="derivation-6">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-5">Source</h3>
+<h3 id="source-3">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-51">Discussion</h3>
+<h3 id="discussion-50">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-60">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1475,13 +1467,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Given a list find the maximum.</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-9">Derivation</h3>
+<h3 id="derivation-7">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-6">Source</h3>
+<h3 id="source-4">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-52">Discussion</h3>
+<h3 id="discussion-51">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-61">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1490,13 +1482,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Given a list find the minimum.</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-10">Derivation</h3>
+<h3 id="derivation-8">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-7">Source</h3>
+<h3 id="source-5">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-53">Discussion</h3>
+<h3 id="discussion-52">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-62">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1505,13 +1497,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a % b.</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-11">Derivation</h3>
+<h3 id="derivation-9">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-8">Source</h3>
+<h3 id="source-6">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-54">Discussion</h3>
+<h3 id="discussion-53">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-63">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1523,13 +1515,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a * b.</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-12">Derivation</h3>
+<h3 id="derivation-10">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-9">Source</h3>
+<h3 id="source-7">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-55">Discussion</h3>
+<h3 id="discussion-54">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-64">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1538,13 +1530,13 @@ a F a</code></pre>
 <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-13">Derivation</h3>
+<h3 id="derivation-11">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-10">Source</h3>
+<h3 id="source-8">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-56">Discussion</h3>
+<h3 id="discussion-55">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-65">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1553,13 +1545,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as -a.</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-14">Derivation</h3>
+<h3 id="derivation-12">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-11">Source</h3>
+<h3 id="source-9">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-57">Discussion</h3>
+<h3 id="discussion-56">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-66">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1568,13 +1560,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as not a.</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-15">Derivation</h3>
+<h3 id="derivation-13">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-12">Source</h3>
+<h3 id="source-10">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-58">Discussion</h3>
+<h3 id="discussion-57">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-67">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1590,20 +1582,20 @@ a F a</code></pre>
    N !-
 ----------  N &gt;= 0
    true</code></pre>
-<h3 id="definition-61">Definition</h3>
+<h3 id="definition-59">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-62">Definition</h3>
+<h3 id="definition-60">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-16">Derivation</h3>
+<h3 id="derivation-14">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-13">Source</h3>
+<h3 id="source-11">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-59">Discussion</h3>
+<h3 id="discussion-58">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-68">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1614,16 +1606,16 @@ a F a</code></pre>
 <pre><code>   ... [P] nullary
 ---------------------
         ... A</code></pre>
-<h3 id="definition-63">Definition</h3>
+<h3 id="definition-61">Definition</h3>
 <pre><code>[stack] dip infra first</code></pre>
-<h3 id="derivation-17">Derivation</h3>
+<h3 id="derivation-15">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-60">Discussion</h3>
+<h3 id="discussion-59">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-69">Crosslinks</h3>
 <p><a href="#unary">unary</a> <a href="#binary">binary</a> <a href="#ternary">ternary</a></p>
@@ -1632,13 +1624,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>swap at</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-18">Derivation</h3>
+<h3 id="derivation-16">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-14">Source</h3>
+<h3 id="source-12">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-61">Discussion</h3>
+<h3 id="discussion-60">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-70">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1647,13 +1639,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a | b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-65">Definition</h3>
+<h3 id="definition-63">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-19">Derivation</h3>
+<h3 id="derivation-17">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-15">Source</h3>
+<h3 id="source-13">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-62">Discussion</h3>
+<h3 id="discussion-61">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-71">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1662,13 +1654,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a2 a1 -- a2 a1 a2)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-66">Definition</h3>
+<h3 id="definition-64">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-20">Derivation</h3>
+<h3 id="derivation-18">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-16">Source</h3>
+<h3 id="source-14">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-63">Discussion</h3>
+<h3 id="discussion-62">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-72">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1677,13 +1669,13 @@ a F a</code></pre>
 <p>Basis Function Combinator</p>
 <p>[i] map</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-21">Derivation</h3>
+<h3 id="derivation-19">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-17">Source</h3>
+<h3 id="source-15">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-64">Discussion</h3>
+<h3 id="discussion-63">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-73">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1698,13 +1690,13 @@ a F a</code></pre>
 -------------
 a+b a-b</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-22">Derivation</h3>
+<h3 id="derivation-20">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-18">Source</h3>
+<h3 id="source-16">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-65">Discussion</h3>
+<h3 id="discussion-64">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-74">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1713,13 +1705,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 --)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-69">Definition</h3>
+<h3 id="definition-67">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-23">Derivation</h3>
+<h3 id="derivation-21">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-19">Source</h3>
+<h3 id="source-17">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-66">Discussion</h3>
+<h3 id="discussion-65">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-75">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1728,13 +1720,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a2 a1 -- a1)</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-24">Derivation</h3>
+<h3 id="derivation-22">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-20">Source</h3>
+<h3 id="source-18">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-67">Discussion</h3>
+<h3 id="discussion-66">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-76">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1743,13 +1735,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a3 a2 a1 -- a2 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-25">Derivation</h3>
+<h3 id="derivation-23">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-21">Source</h3>
+<h3 id="source-19">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-68">Discussion</h3>
+<h3 id="discussion-67">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-77">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1758,13 +1750,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a2 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-26">Derivation</h3>
+<h3 id="derivation-24">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-22">Source</h3>
+<h3 id="source-20">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-69">Discussion</h3>
+<h3 id="discussion-68">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-78">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1773,13 +1765,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a3 a2 a1 -- 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-27">Derivation</h3>
+<h3 id="derivation-25">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-23">Source</h3>
+<h3 id="source-21">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-70">Discussion</h3>
+<h3 id="discussion-69">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-79">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1788,13 +1780,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a4 a3 a2 a1 -- 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-28">Derivation</h3>
+<h3 id="derivation-26">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-24">Source</h3>
+<h3 id="source-22">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-71">Discussion</h3>
+<h3 id="discussion-70">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-80">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1803,13 +1795,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>pop popop</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-75">Definition</h3>
+<h3 id="definition-73">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-29">Derivation</h3>
+<h3 id="derivation-27">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-25">Source</h3>
+<h3 id="source-23">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-72">Discussion</h3>
+<h3 id="discussion-71">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-81">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1818,13 +1810,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a ** b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-76">Definition</h3>
+<h3 id="definition-74">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-30">Derivation</h3>
+<h3 id="derivation-28">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-26">Source</h3>
+<h3 id="source-24">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-73">Discussion</h3>
+<h3 id="discussion-72">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-82">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1833,13 +1825,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Decrement TOS.</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-31">Derivation</h3>
+<h3 id="derivation-29">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-27">Source</h3>
+<h3 id="source-25">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-74">Discussion</h3>
+<h3 id="discussion-73">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-83">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1860,13 +1852,13 @@ 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-78">Definition</h3>
+<h3 id="definition-76">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-32">Derivation</h3>
+<h3 id="derivation-30">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-28">Source</h3>
+<h3 id="source-26">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-75">Discussion</h3>
+<h3 id="discussion-74">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-84">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1875,13 +1867,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>1 swap [*] step</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-33">Derivation</h3>
+<h3 id="derivation-31">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-29">Source</h3>
+<h3 id="source-27">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-76">Discussion</h3>
+<h3 id="discussion-75">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-85">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1890,13 +1882,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[unit] dip</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-80">Definition</h3>
+<h3 id="definition-78">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-34">Derivation</h3>
+<h3 id="derivation-32">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-30">Source</h3>
+<h3 id="source-28">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-77">Discussion</h3>
+<h3 id="discussion-76">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-86">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1905,13 +1897,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[0 &lt;=] [1 - dup] anamorphism</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-35">Derivation</h3>
+<h3 id="derivation-33">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-31">Source</h3>
+<h3 id="source-29">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-78">Discussion</h3>
+<h3 id="discussion-77">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-87">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1920,13 +1912,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>unit [down_to_zero] infra</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-36">Derivation</h3>
+<h3 id="derivation-34">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-32">Source</h3>
+<h3 id="source-30">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-79">Discussion</h3>
+<h3 id="discussion-78">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-88">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1935,13 +1927,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>rest cons</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-37">Derivation</h3>
+<h3 id="derivation-35">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-33">Source</h3>
+<h3 id="source-31">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-80">Discussion</h3>
+<h3 id="discussion-79">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-89">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1959,13 +1951,13 @@ a+b a-b</code></pre>
 ------------------------
   [2 3 1]</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-84">Definition</h3>
+<h3 id="definition-82">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-38">Derivation</h3>
+<h3 id="derivation-36">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-34">Source</h3>
+<h3 id="source-32">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-81">Discussion</h3>
+<h3 id="discussion-80">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-90">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1974,13 +1966,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 ...0] -- [...0])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-85">Definition</h3>
+<h3 id="definition-83">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-39">Derivation</h3>
+<h3 id="derivation-37">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-35">Source</h3>
+<h3 id="source-33">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-82">Discussion</h3>
+<h3 id="discussion-81">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-91">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -1990,13 +1982,13 @@ 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-86">Definition</h3>
+<h3 id="definition-84">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-40">Derivation</h3>
+<h3 id="derivation-38">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-36">Source</h3>
+<h3 id="source-34">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-83">Discussion</h3>
+<h3 id="discussion-82">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-92">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2005,13 +1997,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 a2 a3 -- a2 a3 a1)</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-41">Derivation</h3>
+<h3 id="derivation-39">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-37">Source</h3>
+<h3 id="source-35">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-84">Discussion</h3>
+<h3 id="discussion-83">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-93">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2020,13 +2012,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 a2 a3 -- a3 a1 a2)</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-42">Derivation</h3>
+<h3 id="derivation-40">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-38">Source</h3>
+<h3 id="source-36">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-85">Discussion</h3>
+<h3 id="discussion-84">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-94">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2042,13 +2034,13 @@ 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-89">Definition</h3>
+<h3 id="definition-87">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-43">Derivation</h3>
+<h3 id="derivation-41">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-39">Source</h3>
+<h3 id="source-37">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-86">Discussion</h3>
+<h3 id="discussion-85">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-95">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2057,13 +2049,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 a2 ...1] -- [...1])</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-44">Derivation</h3>
+<h3 id="derivation-42">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-40">Source</h3>
+<h3 id="source-38">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-87">Discussion</h3>
+<h3 id="discussion-86">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-96">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2072,13 +2064,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a &gt;&gt; b.</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-45">Derivation</h3>
+<h3 id="derivation-43">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-41">Source</h3>
+<h3 id="source-39">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-88">Discussion</h3>
+<h3 id="discussion-87">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-97">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2087,13 +2079,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>&lt;{} infra</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-92">Definition</h3>
+<h3 id="definition-90">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-46">Derivation</h3>
+<h3 id="derivation-44">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-42">Source</h3>
+<h3 id="source-40">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-89">Discussion</h3>
+<h3 id="discussion-88">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-98">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2102,13 +2094,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 a2 ...1] -- a2)</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-93">Definition</h3>
+<h3 id="definition-91">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-47">Derivation</h3>
+<h3 id="derivation-45">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-43">Source</h3>
+<h3 id="source-41">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-90">Discussion</h3>
+<h3 id="discussion-89">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-99">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2126,13 +2118,13 @@ 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-94">Definition</h3>
+<h3 id="definition-92">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-48">Derivation</h3>
+<h3 id="derivation-46">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-44">Source</h3>
+<h3 id="source-42">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-91">Discussion</h3>
+<h3 id="discussion-90">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-100">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2141,13 +2133,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Print redistribution information.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-95">Definition</h3>
+<h3 id="definition-93">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-49">Derivation</h3>
+<h3 id="derivation-47">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-45">Source</h3>
+<h3 id="source-43">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-92">Discussion</h3>
+<h3 id="discussion-91">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-101">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2156,13 +2148,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>uncons [swons] dip</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-50">Derivation</h3>
+<h3 id="derivation-48">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-46">Source</h3>
+<h3 id="source-44">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-93">Discussion</h3>
+<h3 id="discussion-92">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-102">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2176,13 +2168,13 @@ a+b a-b</code></pre>
 ---------------------------
        [f e d a b c] </code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-97">Definition</h3>
+<h3 id="definition-95">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-51">Derivation</h3>
+<h3 id="derivation-49">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-47">Source</h3>
+<h3 id="source-45">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-94">Discussion</h3>
+<h3 id="discussion-93">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-103">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2191,13 +2183,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[pop ++] step_zero</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-52">Derivation</h3>
+<h3 id="derivation-50">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-48">Source</h3>
+<h3 id="source-46">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-95">Discussion</h3>
+<h3 id="discussion-94">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-104">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2206,13 +2198,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Given a list return it sorted.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-99">Definition</h3>
+<h3 id="definition-97">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-53">Derivation</h3>
+<h3 id="derivation-51">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-49">Source</h3>
+<h3 id="source-47">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-96">Discussion</h3>
+<h3 id="discussion-95">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-105">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2221,13 +2213,13 @@ a+b a-b</code></pre>
 <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-100">Definition</h3>
+<h3 id="definition-98">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-54">Derivation</h3>
+<h3 id="derivation-52">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-50">Source</h3>
+<h3 id="source-48">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-97">Discussion</h3>
+<h3 id="discussion-96">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-106">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2236,13 +2228,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[drop] [take] clop</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-55">Derivation</h3>
+<h3 id="derivation-53">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-51">Source</h3>
+<h3 id="source-49">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-98">Discussion</h3>
+<h3 id="discussion-97">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-107">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2251,13 +2243,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[take reverse] [drop] clop</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-56">Derivation</h3>
+<h3 id="derivation-54">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-52">Source</h3>
+<h3 id="source-50">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-99">Discussion</h3>
+<h3 id="discussion-98">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-108">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2266,13 +2258,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>dup *</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-57">Derivation</h3>
+<h3 id="derivation-55">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-53">Source</h3>
+<h3 id="source-51">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-100">Discussion</h3>
+<h3 id="discussion-99">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-109">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2281,13 +2273,13 @@ a+b a-b</code></pre>
 <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-104">Definition</h3>
+<h3 id="definition-102">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-58">Derivation</h3>
+<h3 id="derivation-56">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-54">Source</h3>
+<h3 id="source-52">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-101">Discussion</h3>
+<h3 id="discussion-100">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-110">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2296,13 +2288,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(... -- ... [...])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-105">Definition</h3>
+<h3 id="definition-103">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-59">Derivation</h3>
+<h3 id="derivation-57">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-55">Source</h3>
+<h3 id="source-53">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-102">Discussion</h3>
+<h3 id="discussion-101">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-111">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2311,13 +2303,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[stack] dip</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-60">Derivation</h3>
+<h3 id="derivation-58">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-56">Source</h3>
+<h3 id="source-54">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-103">Discussion</h3>
+<h3 id="discussion-102">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-112">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2340,13 +2332,13 @@ 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-107">Definition</h3>
+<h3 id="definition-105">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-61">Derivation</h3>
+<h3 id="derivation-59">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-57">Source</h3>
+<h3 id="source-55">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-104">Discussion</h3>
+<h3 id="discussion-103">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-113">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2355,13 +2347,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>0 roll&gt; step</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-62">Derivation</h3>
+<h3 id="derivation-60">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-58">Source</h3>
+<h3 id="source-56">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-105">Discussion</h3>
+<h3 id="discussion-104">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-114">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2370,13 +2362,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(... a1 -- ... a1 a1 [...])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-109">Definition</h3>
+<h3 id="definition-107">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-63">Derivation</h3>
+<h3 id="derivation-61">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-59">Source</h3>
+<h3 id="source-57">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-106">Discussion</h3>
+<h3 id="discussion-105">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-115">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2385,13 +2377,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(... a2 a1 -- ... a2 a1 a1 a2 [...])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-110">Definition</h3>
+<h3 id="definition-108">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-64">Derivation</h3>
+<h3 id="derivation-62">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-60">Source</h3>
+<h3 id="source-58">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-107">Discussion</h3>
+<h3 id="discussion-106">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-116">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2400,13 +2392,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Same as a - b.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-111">Definition</h3>
+<h3 id="definition-109">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-65">Derivation</h3>
+<h3 id="derivation-63">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-61">Source</h3>
+<h3 id="source-59">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-108">Discussion</h3>
+<h3 id="discussion-107">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-117">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2415,13 +2407,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Increment TOS.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-112">Definition</h3>
+<h3 id="definition-110">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-66">Derivation</h3>
+<h3 id="derivation-64">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-62">Source</h3>
+<h3 id="source-60">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-109">Discussion</h3>
+<h3 id="discussion-108">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-118">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2431,13 +2423,13 @@ 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-113">Definition</h3>
+<h3 id="definition-111">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-67">Derivation</h3>
+<h3 id="derivation-65">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-63">Source</h3>
+<h3 id="source-61">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-110">Discussion</h3>
+<h3 id="discussion-109">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-119">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2446,13 +2438,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>([...1] -- [...0])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-114">Definition</h3>
+<h3 id="definition-112">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-68">Derivation</h3>
+<h3 id="derivation-66">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-64">Source</h3>
+<h3 id="source-62">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-111">Discussion</h3>
+<h3 id="discussion-110">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-120">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2461,13 +2453,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 a2 -- a2 a1)</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-69">Derivation</h3>
+<h3 id="derivation-67">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-65">Source</h3>
+<h3 id="source-63">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-112">Discussion</h3>
+<h3 id="discussion-111">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-121">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2476,13 +2468,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[swap] dip</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-116">Definition</h3>
+<h3 id="definition-114">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-70">Derivation</h3>
+<h3 id="derivation-68">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-66">Source</h3>
+<h3 id="source-64">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-113">Discussion</h3>
+<h3 id="discussion-112">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-122">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2491,13 +2483,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>swap concat</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-117">Definition</h3>
+<h3 id="definition-115">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-71">Derivation</h3>
+<h3 id="derivation-69">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-67">Source</h3>
+<h3 id="source-65">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-114">Discussion</h3>
+<h3 id="discussion-113">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-123">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2506,13 +2498,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>([...1] a1 -- [a1 ...1])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-118">Definition</h3>
+<h3 id="definition-116">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-72">Derivation</h3>
+<h3 id="derivation-70">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-68">Source</h3>
+<h3 id="source-66">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-115">Discussion</h3>
+<h3 id="discussion-114">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-124">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2521,13 +2513,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[i] genrec</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-73">Derivation</h3>
+<h3 id="derivation-71">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-69">Source</h3>
+<h3 id="source-67">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-116">Discussion</h3>
+<h3 id="discussion-115">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-125">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2539,13 +2531,13 @@ a+b a-b</code></pre>
 ----------------------
     [b a]</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-74">Derivation</h3>
+<h3 id="derivation-72">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-70">Source</h3>
+<h3 id="source-68">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-117">Discussion</h3>
+<h3 id="discussion-116">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-126">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2556,9 +2548,9 @@ a+b a-b</code></pre>
 <pre><code>   ... z y x [P] unary
 -------------------------
          ... A</code></pre>
-<h3 id="definition-121">Definition</h3>
+<h3 id="definition-119">Definition</h3>
 <pre><code>binary popd</code></pre>
-<h3 id="discussion-118">Discussion</h3>
+<h3 id="discussion-117">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-127">Crosslinks</h3>
 <p><a href="#binary">binary</a> <a href="#nullary">nullary</a> <a href="#unary">unary</a></p>
@@ -2567,13 +2559,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 a2 a3 ...1] -- a3)</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-75">Derivation</h3>
+<h3 id="derivation-73">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-71">Source</h3>
+<h3 id="source-69">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-119">Discussion</h3>
+<h3 id="discussion-118">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-128">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2595,13 +2587,13 @@ a+b a-b</code></pre>
 -------------------------------------  w/ n &gt; 1
   ... . Q (n - 1) [Q] times</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-123">Definition</h3>
+<h3 id="definition-121">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-76">Derivation</h3>
+<h3 id="derivation-74">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-72">Source</h3>
+<h3 id="source-70">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-120">Discussion</h3>
+<h3 id="discussion-119">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-129">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2613,13 +2605,13 @@ 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-124">Definition</h3>
+<h3 id="definition-122">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-77">Derivation</h3>
+<h3 id="derivation-75">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-73">Source</h3>
+<h3 id="source-71">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-121">Discussion</h3>
+<h3 id="discussion-120">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-130">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2630,9 +2622,9 @@ a+b a-b</code></pre>
 <pre><code>   ... x [P] unary
 ---------------------
        ... A</code></pre>
-<h3 id="definition-125">Definition</h3>
+<h3 id="definition-123">Definition</h3>
 <pre><code>nullary popd</code></pre>
-<h3 id="discussion-122">Discussion</h3>
+<h3 id="discussion-121">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-131">Crosslinks</h3>
 <p><a href="#binary">binary</a> <a href="#nullary">nullary</a> <a href="#ternary">ternary</a></p>
@@ -2643,9 +2635,9 @@ a+b a-b</code></pre>
 <pre><code>   [A ...] uncons
 --------------------
       A [...]</code></pre>
-<h3 id="source-74">Source</h3>
+<h3 id="source-72">Source</h3>
 <pre><code>func(uncons, Si, So) :- func(cons, So, Si).</code></pre>
-<h3 id="discussion-123">Discussion</h3>
+<h3 id="discussion-122">Discussion</h3>
 <p>This is the inverse of <code>cons</code>.</p>
 <h3 id="crosslinks-132">Crosslinks</h3>
 <p><a href="#cons">cons</a></p>
@@ -2654,13 +2646,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Given a list remove duplicate items.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-126">Definition</h3>
+<h3 id="definition-124">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-78">Derivation</h3>
+<h3 id="derivation-76">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-75">Source</h3>
+<h3 id="source-73">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-124">Discussion</h3>
+<h3 id="discussion-123">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-133">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2669,13 +2661,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>(a1 -- [a1 ])</code></pre>
 <p>Gentzen diagram.</p>
-<h3 id="definition-127">Definition</h3>
+<h3 id="definition-125">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-79">Derivation</h3>
+<h3 id="derivation-77">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-76">Source</h3>
+<h3 id="source-74">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-125">Discussion</h3>
+<h3 id="discussion-124">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-134">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2684,13 +2676,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>[i] dip</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-80">Derivation</h3>
+<h3 id="derivation-78">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-77">Source</h3>
+<h3 id="source-75">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-126">Discussion</h3>
+<h3 id="discussion-125">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-135">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2699,13 +2691,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <pre><code>([a1 ...1] -- [...1] 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-81">Derivation</h3>
+<h3 id="derivation-79">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-78">Source</h3>
+<h3 id="source-76">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-127">Discussion</h3>
+<h3 id="discussion-126">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-136">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2714,13 +2706,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>True if the form on TOS is void otherwise False.</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-82">Derivation</h3>
+<h3 id="derivation-80">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-79">Source</h3>
+<h3 id="source-77">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-128">Discussion</h3>
+<h3 id="discussion-127">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-137">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2729,13 +2721,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Print warranty information.</p>
 <p>Gentzen diagram.</p>
-<h3 id="definition-131">Definition</h3>
+<h3 id="definition-129">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-83">Derivation</h3>
+<h3 id="derivation-81">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-80">Source</h3>
+<h3 id="source-78">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-129">Discussion</h3>
+<h3 id="discussion-128">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-138">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2744,13 +2736,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>swap nulco dupdipd concat loop</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-84">Derivation</h3>
+<h3 id="derivation-82">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-81">Source</h3>
+<h3 id="source-79">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-130">Discussion</h3>
+<h3 id="discussion-129">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-139">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2759,13 +2751,13 @@ a+b a-b</code></pre>
 <p>Basis Function Combinator</p>
 <p>Print all the words in alphabetical order.</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-85">Derivation</h3>
+<h3 id="derivation-83">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-82">Source</h3>
+<h3 id="source-80">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-131">Discussion</h3>
+<h3 id="discussion-130">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-140">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2775,22 +2767,22 @@ a+b a-b</code></pre>
 <pre><code>   [F] x
 -----------
    [F] F</code></pre>
-<h3 id="definition-134">Definition</h3>
+<h3 id="definition-132">Definition</h3>
 <pre><code>dup i</code></pre>
-<h3 id="discussion-132">Discussion</h3>
+<h3 id="discussion-131">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-135">Definition</h3>
+<h3 id="definition-133">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-86">Derivation</h3>
+<h3 id="derivation-84">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-83">Source</h3>
+<h3 id="source-81">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-133">Discussion</h3>
+<h3 id="discussion-132">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-141">Crosslinks</h3>
 <p>Lorem ipsum.</p>
@@ -2799,13 +2791,13 @@ a+b a-b</code></pre>
 <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-136">Definition</h3>
+<h3 id="definition-134">Definition</h3>
 <p>if not basis.</p>
-<h3 id="derivation-87">Derivation</h3>
+<h3 id="derivation-85">Derivation</h3>
 <p>if not basis.</p>
-<h3 id="source-84">Source</h3>
+<h3 id="source-82">Source</h3>
 <p>if basis</p>
-<h3 id="discussion-134">Discussion</h3>
+<h3 id="discussion-133">Discussion</h3>
 <p>Lorem ipsum.</p>
 <h3 id="crosslinks-142">Crosslinks</h3>
 <p>Lorem ipsum.</p>

diff --git a/docs/reference/mkref/Functor-Reference.md b/docs/reference/mkref/Functor-Reference.md
index 68e8111..e4d42cd 100644 (file)
--- a/docs/reference/mkref/Functor-Reference.md
+++ b/docs/reference/mkref/Functor-Reference.md
@@ -2024,69 +2024,62 @@ know what you're doing.
 
 ## le
 
-Basis Function Combinator
-
-Same as a \<= b.
-
-Gentzen diagram.
-
-### Definition
-
-if not basis.
-
-### Derivation
-
-if not basis.
-
-### Source
+Basis Function
 
-if basis
 
-### Discussion
+Less-Than-or-Equal-to comparison of the two items on the top of the
+stack, replacing them with a Boolean value.
 
-Lorem ipsum.
+       a b eq
+    -------------
+       Boolean
+       (a <= b)
 
 ### Crosslinks
 
-Lorem ipsum.
+[cmp]
+[eq]
+[ge]
+[gt]
+[lt]
+[ne]
 
 ------------------------------------------------------------------------
 
 ## loop
 
-Basis Function Combinator
-
-Basic loop combinator. :
-
-    ... True [Q] loop
-    -----------------------
-       ... Q [Q] loop
-
-    ... False [Q] loop
-    ------------------------
-       ...
-
-Gentzen diagram.
+Basis Combinator
 
-### Definition
+Expect a quoted program `Q` and a Boolean value on the stack.  If the value is false
+discard the quoted program, otherwise run a copy of `Q` and `loop` again.
 
-if not basis.
+       false [Q] loop
+    --------------------
 
-### Derivation
 
-if not basis.
+       true [Q] . loop
+    --------------------------
+                . Q [Q] loop
 
-### Source
+### Discussion
 
-if basis
+This, along with [branch] and [fork], is one of the four main combinators
+of all programming.  The fourth, sequence, is implied by juxtaposition.
+That is to say, in Joy `F G` is like `G(F(...))` in a language bassed on
+function application.  Or again, to quote the [Joy Wikipedia
+entry](https://en.wikipedia.org/wiki/Joy_(programming_language)#Mathematical_purity),
 
-### Discussion
+> In Joy, the meaning function is a homomorphism from the syntactic monoid onto the semantic monoid. That is, the syntactic relation of concatenation of symbols maps directly onto the semantic relation of composition of functions.
 
-Lorem ipsum.
+Anyway, [branch], [fork], amd [loop] are the fundamental combinators in Joy.
+Just as [branch] has it's more common and convenient form [ifte],
+[loop] has [while].
 
 ### Crosslinks
 
-Lorem ipsum.
+[branch]
+[fork]
+[while]
 
 ------------------------------------------------------------------------